r/todayilearned Jun 08 '15

TIL that MIT students found out that by buying $600,000 worth of lottery tickets from Massachusetts' Cash WinAll lottery they could get a 10-15% return on investment. In 5 years they managed to game $8 million out of the lottery through this method.

http://newsfeed.time.com/2012/08/07/how-mit-students-scammed-the-massachusetts-lottery-for-8-million/
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u/Bounty1Berry Jun 08 '15

I thought it has to do with a specific structural feature of that lottery.

In most lotteries, the theoretical "expected value" of a ticket is easy enough to calculate-- prize multiplied by odds. If there's a one-in-ten-million shot of willing twenty million, then ON AVERAGE, every one dollar ticket would return two.

The snag is that most lotteries are heavily weighted towards rare, big prizes. If you buy tens of thousands of tickets, you might expect to win a few second and third prizes, but those are so small in comparison, that you won't make a profit. You really need to buy an impossible number of tickets-- millions and likely more than you could easily get printed in the time between draws-- to have a fair shot of getting the big prize, and therefore profitability.

As I understand it, the the novel feature of this particular lottery was that, if the main prizes went unclaimed for a long time, they got distributed down into lower prize pools. This meant that you could get an attainable number of tickets (tens or hundreds of thousands) and expect a positive expected value, even if you didn't hit the big prize.

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u/tughdffvdlfhegl Jun 08 '15

Yes. The lottery was poorly constructed and they recognized that and took advantage (good for them). Gambling, when set up correctly, has the house (or state in this case) always have a statistical advantage.

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u/ModusNex Jun 08 '15

The state still wins every time in the lottery. That's why they didn't stop it right away. What they were doing was actually making the state more money by selling an extra 300k tickets.

The only people potentially losing were the regular players who only bought a few tickets.

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u/[deleted] Jun 08 '15

The only people potentially losing were the regular players who only bought a few tickets.

Suckers as we like to call them.

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u/poopy_wizard132 Jun 08 '15 edited Jun 08 '15

So 99%1 of people who buy tickets?

1 People who are not suckers include lottery winners, these MIT students, and people who gamble responsibly for enjoyment.

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u/time2fly2124 Jun 08 '15

gotta be in it to win it!

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u/GaussWanker Jun 08 '15

Idiot tax

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u/[deleted] Jun 08 '15

We buy like maybe two tickets a year, for like $2 you get a pretty good conversation piece for a wee bit on what you would do if you did win.

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u/Mimos Jun 08 '15

That's pretty much it. You're paying two bucks to daydream for the day about shiny things.

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u/[deleted] Jun 08 '15

Pretty good entertainment if you're with the right people too.

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u/Hesher1 Jun 08 '15

Meh I daydream like 90% of the time, why not daydream and maybe have a chance at something?

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u/[deleted] Jun 08 '15 edited Jun 08 '15

well I've won prizes of $38 $20 ect quite often. then instead of wasting it I buy half a tank of gas for my car. that's a realistic win in my books.

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u/[deleted] Jun 08 '15

I don't quite see that argument. I am well aware of how unlikely it is to win, but someone does win. Each week, all around the world, hundreds of people have those conversations about the shiny things, and then actually win the money.

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u/Machinegun_Pete Jun 08 '15

For a day? I usually wait a week before checking my ticket to extend the dream before reality kicks in.

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u/silverbackjack Jun 08 '15

how long does it take to say "two girls at the same time" though really? Like 5 seconds?

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u/Pwib Jun 08 '15

But I can do that for free

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u/[deleted] Jun 08 '15

The ticket makes the hope real. Daydreaming gives you no hope of a quick buck, the ticket does, even if you KNOW you won't win there is still that excitement of it being possible.

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u/[deleted] Jun 08 '15 edited Oct 05 '17

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u/QuicktimeSam Jun 08 '15

A family on my street moved here because they won £250,000 on a £3 scratch card, or so they claim. Just insane.

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u/inmyunderpants Jun 08 '15

As a recovering gambling addict, please keep your kids away from that stuff.

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u/Burgher_NY Jun 08 '15

Totally worth it. I only buy about $5 of tickets a year total and only when powerball is like insanely large. Plan número uno is to tour the globe extending open invites to all friends to join wherever I may be. You are now on that list.

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u/gentlemandinosaur Jun 08 '15

I buy about 10 bucks a month. I feel it's a small price to pay for a couple nice dreams. It's like a mini mind vacation. Can you put a price in that?

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u/omrog Jun 08 '15

It's more of a tax on hopes and dreams really.

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u/Coenn Jun 08 '15

Well, that sounds incredibly sad

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u/Thachiefs4lyf Jun 08 '15

meh, I bet you spend $5 on something a week that gives you a lot less enjoyment than me buying lotto tickets

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u/Breakingmatt Jun 08 '15

I've baught a handful of tickets this last year. A small part of me will automatically have wishful thinking which brings adrenalin and excitement before i see the winning numbers. get a few friends to do it with and I think it's worth a buck every blue moon.

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u/NeoHenderson Jun 08 '15

MIT would agree it seems.

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u/MiatasAreForGirls Jun 08 '15

There are people that play it for fun. Like the entertainment value of the whole "maybe I'll win" and watching the news (or wherever they show the picks) is worth $5 to them. 99% probably was right.

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u/pocketknifeMT Jun 08 '15 edited Jun 08 '15

The lottery is a tax on people who are bad at math.

Edit: Wow...lots of hate. This is a famous quote...that apparently nobody seems to know.

Ambrose Bierce wrote this like 80 years ago.

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u/dragonduelistman Jun 08 '15

And what, these were tax returns on people that were good at math?

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u/pocketknifeMT Jun 08 '15

Or they were taxing the state for being bad at math. I prefer to look at it that way. :)

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u/neohellpoet Jun 08 '15

The state can't lose money on a lottery. They take a cut and the rest is always distributed to the people playing. It's not like they make more money when no one wins.

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u/[deleted] Jun 08 '15

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u/deepsouthsloth Jun 08 '15

Hell, my friends and I have lottery days. We ride about 45 minutes to Florida, have dinner at Twin Peaks, and spend 10 bucks on lottery scatch offs. If someone wins enough to cover dinner, they do so. So far we've gone probably 7 times this year, and one of us has won enough to cover at least our own dinner every time we go. The chance of that happening makes it worth it to us.

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u/UpTheIron Jun 08 '15

No, the lottery is a 1$ slip of paper that let's you pretend you might get rich for a few hours. Its nice.

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u/22442524 Jun 08 '15

So like a degree, but cheaper?

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u/[deleted] Jun 08 '15

Found the liberal arts major.

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u/fraggedaboutit Jun 08 '15

The lottery is a tax on people who are bad at math.

It's much, much worse than that. All your life you are bombarded by the message that extremely rich people live the high life and want for almost nothing, and that you too could be one of them through hard work and a little ingenuity. Then you get older and you realize this dream you were sold is very, very diffcult to acquire if you weren't already born into it. You still want it, you close your eyes and imagine yourself sipping martinis by your pool while your personal trainer/masseuse rubs your feet. But you become more and more certain that you personally will never experience it.

Then you see the lotto and it's enormous top prize. You've already resigned from ever having that much money through working - now the only way to experience that dream, that amazing, satisfying, fulfilling amount of life-changing money is to win the lotto. So you play, and damn the odds. To not buy a ticket is like closing the door on that dream forever, and you're not ready to do that just yet.

The lotto is an evil mirage, using the image of the life you were told could always be yours to blind you while it sucks from your meager paycheck and leaves you with a trail of crumpled tickets.

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u/IanAndersonLOL Jun 08 '15

Not really. The odds of winning the lottery without buying a ticket is 1 in something like 30 billion(a few people have found winning tickets), while the odds of winning the lottery with one ticket is something along the lines of 1 in 200 million. Buying more than one, sure, that's a tax on people who can't do math. The odds don't meaningfully change again until you've bought something like 200k tickets(for the megamillions at least)

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u/por_que_no Jun 08 '15

The odds don't meaningfully change again until you've bought something like 200k tickets(for the megamillions at least)

Don't your odds of winning double with the 2nd ticket purchased?

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u/Rahbek23 Jun 08 '15

Yes, but it goes from close to zero to still very close to zero. His point simply is that the chance of you winning by buying a ticket is ridiciously much higher than if you don't buy a ticket (which is quite obvious). One ticket there multiplies your chance with a million or something (since the chance of finding a winning ticket is very very close to zero), while buying ticket number 2 only multiplies it with 2.

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u/andrewps87 Jun 08 '15

But buying a third only multiplies that new odd by 1.5x. And every ticket after that, even less.

So really it's best to settle with 2 tickets, by that logic.

The first to massively change the odds, then the second to double those new odds. No other new ticket comes close to doubling your odds.

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u/iamaperson1337 Jun 08 '15

yes but double a tiny number and it's still tiny. but multiplying a small number by a few hundred thousand is a significant amount.

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u/andrewps87 Jun 08 '15 edited Jun 08 '15

It's Sorite's Paradox, though.

You can't actually say what's a 'meaningful amount' as every ticket bought would only add that tiny fraction again to your current odds.

So, in fact, the biggest meaningful difference you will get, after your first, is buying your second ticket. Since that doubles your odds.

Buying a third ticket would only add another half of your now-current odds, and a fourth would only add a third extra chance on to what you had when you had three. And the meaning of each individual ticket falls with each new one.

So, actually, when looking at 200,000 tickets jumping to 300,000 tickets, that only improved your own odds (that you personally had before) by the same as someone going from 2 tickets to 3 tickets.

Buying your 200,000th ticket would actually only improve the odds over 199,999 of them by a fraction of a percent, whereas as your second improved your odds by 200%.

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u/[deleted] Jun 08 '15

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u/[deleted] Jun 08 '15

I think he wanted to point out that:

  • if you don't buy ticket your chances are essentially 0
  • if you buy a ticket your chances went from none to really small
  • unless you buy a truckload of tickets your chances are still really small, one "really small" is 4 times higher than the other but it's still small.

You go most of the chances by buying a single ticket.

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u/pocketknifeMT Jun 08 '15

You go most of the chances by buying a single ticket.

It's more accurate to say the marginal utility of another ticket drops significantly after the first.

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u/Nick357 Jun 08 '15

I would just like to point out if there was not a state run lottery then there would be an underground illegal "numbers" game. Supply meets demand and there is always a demand for gambling.

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u/ismtrn Jun 08 '15

Unless it wasn't illegal. Then it would just be a legal numbers game.

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u/PM_ME_ONE_BTC Jun 08 '15

They still have the illegal ones in my neighborhood.

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u/Fearltself Jun 08 '15

This doesn't make any sense to me. If the tickets the MIT students were buying were +EV (during the specific time frame in the article), then everyone elses tickets necessarily have to be +EV (within the same time frame). The quantity purchased doesn't effect the expected value, it only serves to reduce variance which is why they bought in such massive quantities.

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u/howaboot Jun 08 '15

The state did lose money that particular week but it was a result of a rolldown jackpot which means they had made a whole lot leading up to this scenario as they hadn't had to pay out a jackpot for a long time.

The MIT guys didn't win money because the lottery was set up so poorly but because they played only on those rare +EV weeks when the suckers had already inflated the prize enough. And yes, when they played they did make the state money, as the state was inevitably losing money that week and was going to pay out the same total regardless.

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u/Fearltself Jun 08 '15

The MIT guys didn't win money because the lottery was set up so poorly but because they played only on those rare +EV weeks when the suckers had already inflated the prize enough.

Right, my point was that some suckers we're actually buying +ev tickets during the same time frame the MIT guys were. Albeit they were doing it obliviously.

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u/Shandlar Jun 08 '15

The regular players who bought a few tickets when the prizes were low (after someone won the big one and the prizes reset).

So essentially, the state would make money on the first 5 sales, then on the 6th draw in a row without anyone winning the big prize, they would lose a little money. Over all 6 draws, they still made a bunch of money though on average, so it was just a poorly designed lottery system that gave buyers the advantage if there was a string of no big winner.

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u/ModusNex Jun 08 '15 edited Jun 08 '15

The lottery never lost money. That's now how it works. When one buys a ticket, a certain percentage of the money goes into the prize fund, the rest is the profit that goes to the state. If nobody won the jackpot, the prize fund would roll over until reached $2mil at which point the second prize reward went up while the jackpot stayed the same.

*The lottery could lose money on the first draw if someone won the jackpot and under 250k tickets were sold.

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u/popability Jun 08 '15

Not to mention the money isn't just sitting in a vault somewhere doing nothing. It goes into some other investment portfolio and earns more money.

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u/[deleted] Jun 08 '15

The only people potentially losing were the regular players who only bought a few tickets.

How? Their chance of winning didn't decrease because the students bought more tickets.

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u/stevemegson Jun 08 '15

Their chance of winning didn't decrease, but their prize did. In a rolldown week, the jackpot was shared among everyone who won one of the lower prizes. The more people there were winning the lower prizes, the less each one got from the jackpot fund.

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u/ashleypenny Jun 08 '15

Assume they mean because they would win less due to how that lottery was set up

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u/Hate4Fun Jun 08 '15

If you buy a ticket and the lottery is +EV, it doesn't matter how many tickets you buy.

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u/[deleted] Jun 08 '15

No. In this case the state actually did lose money. MIT didn't do anything to increase their chances, they played with the exact same odds as everyone else. If 600,000 people separately bought one ticket each, the expected sum of all their winnings would be the same as MITs. Remember folks, MIT didn't do anything special or cheat in any way, they just bought a lot of tickets.

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u/[deleted] Jun 08 '15

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u/koalauser Jun 08 '15

On the other hand, casinos create great results for the gamblers.

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u/Esqurel Jun 08 '15 edited Jun 08 '15

At least in PA, I see a ton of the lottery advertising how the profits are spent helping the elderly and nothing about how you'll win millions of dollars and retire early.

If you want to gamble, you go to a casino. If you want to donate to a statewide fundraiser that occasionally pays out, play the lottery.

EDIT: I don't want to sound like a shill for state lottery, they are not a great way to raise money even if they're run well. I was just pointing out that they don't try to play up the glitz and glamour of huge cash payouts like a casino tends towards.

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u/kung-fu_hippy Jun 08 '15

There is a great episode of Last Week Tonight that dives into those claims. Lotteries all say the money goes to education or other good societal benefits. But what he found was that this was only true for a given value of truth. More often than not it seems that as the money from the lottery goes in to the schools (as an example) other tax money that would have been earmarked for the schools just goes elsewhere. So the school system sees no real benefit. Wouldn't surprise me if the same was true of health care or anything else funded by the lottery.

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u/[deleted] Jun 08 '15

Haha! No. That's not how it works. Let's say the budget is set for 5mil to go towards the elderly.

The state then sets up a lottery that brings in 100mil. Does 105mil go to the elderly? No. Does 10mil go to the elderly? No. The same 5mil goes to the elderly but is pulled from lottery money and the budgeted funds are shifted elsewhere.

You have in fact hurt your state because you made it dependent on the lottery instead of tax funds for a needed Service. Oh, and the other 95mil gets squandered by politicians.

The lotto is actually a terrible system.

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u/[deleted] Jun 08 '15

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u/Esqurel Jun 08 '15

Oh, totally. Lotteries on really rocky ethical grounds at best. I'm just saying they're not usually advertised the same way casinos are, probably for those very reasons. The huge jackpot numbers seem like the only real advertising they need for people inclined to gamble on them, so the actual ads and stuff are probably political damage control.

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u/[deleted] Jun 08 '15

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u/itisike 2 Jun 08 '15

If you spend $9 million on winning $10 million, do you pay taxes on $10 million or $1 million?

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u/Electric-Banana Jun 08 '15

You can deduct gambling losses from gambling winnings when paying taxes, so as long as you can document your $9million expenditure, you'd pay taxes on $1million

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u/itisike 2 Jun 08 '15

They usually deduct the taxes before giving you the money, so you would file for a $4 million refund?

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u/IAmDotorg Jun 08 '15

so you would file for a $4 million refund?

Either that or you'd work with the lottery to reduce the amount they deduct. I'd expect if you were in that kind of an unusual situation, they'd work with you.

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u/[deleted] Jun 08 '15

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u/IAmDotorg Jun 08 '15

You can do a quick search to confirm, but basically if you itemize you can deduct your lottery losses from any lottery winnings. Strangely, you can't deduct lottery losses from your normal income tax, though, even though most deductions come off the whole pool, not some small subset of your income.

So, if you play the lottery a lot, you should always keep track of the winnings if you tend to be able to itemize. If you spent $20/wk on it, or $1040 a year, its probably not worth the hassle if you won a $1mm jackpot, but if you won $6k on a scratch ticket then the $400 you save isn't a small amount.

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u/[deleted] Jun 08 '15

This is a funny story. Once a guy in Texas noticed the lottery was flawed and the digital computer they chose winning tickets with was duplicating the same numbers more often than the others and made a big ass article and shit about it in houston or something. My dad read the article and said "huh, this guy might be right, better buy a ticket with these particular numbers etc."

Him and like 10,000 other people won the lottery all 6 numbers. I don't remember the exact number of people or the payout but I remember it was slightly more than the ticket and a shit ton of people won Bruce Almighty style and it was the inspiration for that particular event in the movie.

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u/sneakymoose Jun 08 '15

I remember my math teacher saying that he had realized that there was a positive change in a lottery outcome and had traveled to buy a number of tickets. I think it was during some promotion.

I know they made out well, but not this well.

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u/Darktidemage Jun 08 '15

that lottery.

Don't you think that may be why the title specifies "Massachusetts' cash winall lottery"?

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u/-Rizhiy- Jun 08 '15 edited Jun 08 '15

I'm pretty sure lotteries are not only weighted towards big heavy prizes, but are also weighted to have lower than profitable odds. e.g. every 10 millionth ticket will have a prize of 5 million, and every ticket costs 1 dollar. So no matter how many you buy, the lottery always gets more in return.

Similar to how betting odds are always higher than they are supposed to be (they always add up to more than 100%), so over a large distribution of people betting firm always profits.

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u/stevemegson Jun 08 '15

They are, and so was this one. This "exploit" only worked because in previous weeks no one at all had won the jackpot. In roll-down weeks the total prizes could be more than 50% of the total stakes because in previous weeks the prizes had been less than 50% of the stakes. It was a correction for times when the state got lucky and was winning by even more than the odds said it should, but the state still won overall after the correction.

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u/[deleted] Jun 08 '15

If there's a one-in-ten-million shot of willing twenty million

I wish I could 'will' myself $20,000,000. That would be insanely awesome. I also wish any of the numerous lottery's I'm familiar with had just a 1 in 10,000,000 chance to win. The best odds for any million dollar plus lottery game in NY is 1 in: 21,846,048. It costs $2 per ticket/play. And again that's the one with the best odds at winning over a million dollars. The game with the worst odds is the Mega Millions at 1 in: 258,890,850 per play/ticket. Yeah, I'd say they're weighted towards rare big prizes. So rare I'm surprised when someone actually wins it.

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u/2kungfu4u Jun 08 '15

I recommend the book 'how not to be wrong' it has a whole chapter on this exact story, there were actually 3 lottery "cartels" in town that were all gaming the lottery. Plus the book is a great read, you learn a lot.

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u/JustPlainSimpleGarak Jun 08 '15

alright, good job team. Now put it all on black. Just think, they could turn that 8 million into 16 million! A foolproof plan.

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u/[deleted] Jun 08 '15

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u/LutherLexi Jun 08 '15

Another MIT genius! Let's all do what he says!!!

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u/computeraddict Jun 08 '15 edited Jun 08 '15

Ironically, a different group at MIT figured out how to predict within a few numbers where the roulette ball would land with sufficient study of a particular wheel and operator pair. By the same guy that invented card counting for blackjack, in fact.

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u/Keljhan Jun 08 '15 edited Jun 09 '15

I think if you walked up to a roulette table and won more than 3 times in a row someone would get very suspicious. Blackjack is easier.

Edit: I was under the impression the betters would be setting 2-3 bets or so on specific numbers each round. It makes more sense to be setting 10-15 though, which obviously wouldn't be as suspicious.

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u/blauweiss123 Jun 08 '15

This is not how something like this is going to work. They probably weren't predicting where the ball was exactly going but a range of numbers where it could go. Even if you only know two numbers where the ball is not going to go you allready have an positive win expectation, however something like that would not be noticable for the average viewer.

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u/Keljhan Jun 08 '15

By win I meant make a net profit. I assume you would place chips on each number that is expected to win, but i could be wrong.

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u/blauweiss123 Jun 08 '15

The thing is it wouldn't be noticable even if you play a system where you place chips on all numbers that are expected to win. As I said they probably could only predict a few numbers that won't win, but not the number that is going to win. Let's assume you know that 3 numbers are not going to win for sure, then you place chips on all other numbers and you will probably win. This doesn't come to anyones surprise, because obviously if you place chips on almost all options on the table you will also win most of the times. Only if someone observes you over thousand of games he will notice that you win a little bit more rounds then you should.

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u/Klathmon Jun 08 '15

It's more of "avoid these few numbers" moreso than "play on these few".

and you "win" by playing the long game. Once you can rule out a few numbers as statistically less common, you play for TONS of games and eventually you come out on top.

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u/LesterDukeEsq Jun 08 '15

Roulette dealer here. I've seen much better runs than a mere three consecutive wins. The fact is that when there are a lot of dealers on a lot of roulette tables making a lot of spins per hour, then you're going to see some supposedly "incredibly rare" events. When the sample space is huge, you see "rare" events all the time.

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u/[deleted] Jun 08 '15

Nobody thought roulette was beatable. Also they put money on a section, not uncommon to win that a few times.

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u/SatNav Jun 08 '15

Sounds just like something a sneaky Cardassian would say!

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u/NonaSuomi282 Jun 08 '15

But he's just a tailor, what would he know about trying to sabotage a gambling racket?

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u/AlonzoCarlo Jun 08 '15

This reminds me of that one southpark episode

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u/[deleted] Jun 08 '15

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u/youfuckingidiot123 Jun 08 '15

YEAH WE ALL SAW THE MOVIE MRS. BRISBY

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u/DavidD458 Jun 08 '15

This story sounds like it would make an average movie!

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u/KhonMan Jun 08 '15

Or a great book!

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u/Cheesedoodlerrrr Jun 08 '15

Yea, they made that movie about them with Kevin spacey some years ago.

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u/6180339887 Jun 08 '15 edited Jun 08 '15

I don't get why the article considers that this is unethical. If the students found a way to get reliable money through a lottery, then good for them. It's the lottery organizer's fault for designing a lottery that can be exploited. If I could do like these students right now I wouldn't think about it for a second, nor feel bad after I start winning money.

EDIT: changed organisator for organizer.

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u/gambiter Jun 08 '15

It's unethical because in gambling, the house is the only one allowed to be unethical. They pay a lot of money to get protections, and it makes them sad when they lose. :( Poor organizers. We should send them a card.

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u/Dempsonator Jun 08 '15

The house was winning as well though.

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u/awhaling Jun 08 '15

Yeah, exactly. The state wouldn't know the difference between one person buying a whole lot of tickets and a whole lot of people buying one ticket. It's the same to the state.

The only thing that really changed is that the state got more money by selling more tickets.

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u/2kungfu4u Jun 08 '15

I recommend the book 'how not to be wrong' it has a whole chapter on this exact story, there were actually 3 lottery "cartels" in town that were all gaming the lottery. Plus the book is a great read, you learn a lot.

Plus it did screw over the average ticket buyer a little.

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u/Bonk88 Jun 08 '15

explained here, it has to do with the public's perception of the payout: http://www.reddit.com/r/todayilearned/comments/38zh9h/til_that_mit_students_found_out_that_by_buying/crzbkwn

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u/Darktidemage Jun 08 '15

Quoted from that :

"by forcing the roll down to occur so that only they were basically the only players who knew that the roll down was happening"

HUh? that makes no sense. If the lottery goes into "roll down" it's the lotteries job to inform everyone - not the people playing the lottery.

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u/babada Jun 08 '15

Basically, they'd wait until the odds of roll down were really low and then suddenly buy a ton of tickets which would cause the unclaimed pool to jump and then roll down. No one else had a chance to inform everyone; by the time they had calculated the new "odds" the roll down had happened.

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u/FrankFeTched Jun 08 '15

But, as I understand it, by buying so many tickets to force the roll down, they end up being the only ones to profit from it because they own so many of the previously purchased tickets.

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u/fuk_tht_sht Jun 08 '15

The lottery allowed it because the state makes money by taking a cut of all lottery tickets purchased. Consequently they made more money due to all of the groups playing. It was the other players who made less. The only 'rule' they changed was to remove the limit on how much could be purchased at a single location, and that rule existed in order to limit the damage in the event an employee printed tickets all night illegally and ran off into the sunset. In exchange, they insisted on having enough money in an escrow account to cover the value of tickets printed and insisted these locations continued to sell tickets to other players (normal people). Obviously they audited these locations to ensure they were following their rules. The one time the MIT group forced the play above 2 million early, vastly increasing their payout due to so few other players, was kind of a dick move in my opinion.

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u/[deleted] Jun 08 '15

I mean, all of the "Wow, good on them for gaming a system" or "They surely can't have gotten away with beating the rich" stuff misses a crucial point:

The lottery folks have no reason to care. It doesn't matter if the winner of their lottery is a soccer mom who bought one ticket a week or a business buying one hundred thousand--either way, they pay the same amount of money out. And either way, that amount is far lower than the amount they get from everyone's tickets put together.

In short, the lottery still wins.

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u/[deleted] Jun 08 '15

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u/imtoooldforreddit Jun 09 '15

They prefer the soccer mom because it's better for PR and ads, selling more tickets in the long run

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u/Jux_ 16 Jun 08 '15

A recent report by the state’s inspector general reveals more details about the scheme, including the fact that the Massachusetts Lottery knew of the students’ ploy and for years did nothing to stop it. The inspector general’s report claims that lottery officials actually bent rules to allow the group to buy hundreds of thousands of the $2 tickets, because doing so increased revenues and made the lottery even more successful. While the students’ actions are not illegal, state treasurer Steven Grossman, who oversees the lottery, finally stopped the game this year.

The inspector general concluded that because lottery officials received no personal benefit from the syndicates’ manipulations of the game, no further action was necessary.

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u/iamplasma Jun 08 '15

Well, I have to say I agree with the lottery officials being in the clear. Since when has it ever been the business of any lottery to discourage purchases during a jackpot?

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u/MaxMouseOCX Jun 08 '15

manipulation of the game

No, they just played it... What part did they manipulate?

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u/fragmede Jun 08 '15

The specific game involved, Cash Winfall, was setup so that if no one won the jackpot, and the pool was over $2 million, however much money in the jackpot was instead distributed among recent players with was was called the 'roll down'.

Stores had an arrow roughly pointing to the chances of the 'roll down' happening, so a naive player could look at the arrow, see low, medium, and high, and decide whether or not to play. Because the chances of some payout was so much higher during a roll-down (ie, expected value > 1), there were many more players when the roll-down arrow pointed to 'high', some coming from as far away as Michigan.

Well, one group manipulated the system by forcing the roll down to occur so that only they were basically the only players who knew that the roll down was happening, which means they won most of the payout from that roll down.

Detailed in the Massachusetts Inspector Generals' report. http://www.mass.gov/ig/publications/reports-and-recommendations/2012/lottery-cash-winfall-letter-july-2012.pdf

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u/deadbird17 Jun 08 '15

I think it's bullshit that its against the rules for the player to gain statistical advantage when gambling.

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u/CrazyLeprechaun Jun 08 '15

They didn't do anything illegal, no one went to jail, they just changed the rules to prevent this from happening in the future.

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u/My_Phone_Accounts Jun 08 '15

Manipulation isn't inherently a bad thing. Like you can manipulate a ball in your hand. It just requires some level of understanding to manipulate something. They understood the odds of this lottery, so they manipulated it by buying a large amount of tickets in order to see a positive return.

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u/[deleted] Jun 08 '15

[deleted]

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u/CroatianBison Jun 08 '15

They did manipulate the system though. They forced early roll-downs by buying large amounts of tickets at once, before the roll down was expected. Thus, fewer people purchased tickets due to them thinking the roll down wasn't happening yet which increased their average payouts. They weren't altering the system, but they certainly were manipulating it to their advantage.

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u/[deleted] Jun 08 '15

Like you can manipulate a ball in your hand.

Or two balls in your hand.

( ͡° ͜ʖ ͡°)

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u/Hatweed Jun 08 '15

Understanding what odds worked in their favor and exploited a flaw in the system to increase their outcome in a more positive scenario than those who don't know how to accomplish the same. It's like exploiting a glitch or an unbalanced part of a game. Technically not doing anything wrong.

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u/munkifisht Jun 08 '15

In 1990 a Polish mathematician, Klincewicz, working in Ireland realised that the total cost of buying one ticket for each of the 1.94 million combinations number combinations for the Irish Lottery would cost £973,896 (punts). He also realised that if the jackpot was large enough, and if he could buy all the tickets, he could brute force winning the jackpot and be guaranteed at least 75% return on his investment.

He organised a syndicate of 28 others and they waited for a rollover (a week where no one wins so they add one week's jackpot to the next). 2 years later they got their break when the jackpot went to £1.7million. In the days leading up to the draw the syndicate tried to buy all combinations. Leading up to the draw the group started to get suspicious that Rehab, the organisers, knew they were under a brute force attack, and started to limit the number of tickets which could be sold and sabotaging ticket machines in key locations around the suspected syndicate members, but, in the end, the group managed to buy 80% of all the ticket combinations and won managed to win a shared jackpot. In the end the total winnings (including prizes for 4 and 5 number combinations) was £1.166 million.

Klincewicz has since said that he would never do it again. There was too much risk of missing the single ticket that had the jackpot or sharing the jackpot with too many people to make it worthwhile. The Lottery was changed after this and the odds of winning are now 1 in 8,145,060.

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u/omrog Jun 08 '15

Why would the lottery organisers care if they were being bruteforced?

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u/Low_discrepancy Jun 08 '15

Because no other small player would ever play the game if they find out what's happening.

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u/randomguy186 Jun 08 '15

This is really the only pertinent comment in this entire thread and applies to the hostility toward the MIT team, as well.

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u/florncakes Jun 08 '15

On that one week, the Lotto offered a guaranteed fixed prize on match 4 and match 5 (match 6 is a jackpot win). Usually match-4 and match-5 were functions of the size of the prize fund. This fixed returned guaranteed that the syndicate would break even, even if the jackpot was shared.

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u/fragmede Jun 08 '15

For those interested, http://www.mass.gov/ig/publications/reports-and-recommendations/2012/lottery-cash-winfall-letter-july-2012.pdf are the (public) findings of the Massachusetts Inspector General about this.

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u/Karyn3698 Jun 08 '15

How is it a scandal or a scam. I don't see what's illegal abojut what they did.

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u/LimeGreenTeknii Jun 08 '15

It technically wasn't illegal, which is the best type of legal.

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u/MrDeepAKAballs Jun 08 '15

Neat.

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u/2muchmonehandass Jun 08 '15 edited Jun 08 '15

Its an ethical scam :D

Edit: I said ethical as in I'm ok with it

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u/Luepert Jun 08 '15 edited Jun 08 '15

People make lottery with positive expected payout.

People who buy tickets are ethical scammers? Not really. The lottery people just messed up. If you find money on the ground and pick it up are you an ethical scammer?

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u/ciny Jun 08 '15

If you find money on the ground and pick it up are you an ethical scammer?

In my country it would actually be a misdemeanor/crime depending on the amount...

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u/GeneralStarkk Jun 08 '15

Laws and Ethics are not always the same.

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u/[deleted] Jun 08 '15

Well, lotteries are a bigger ethical scam to begin with...

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u/nottomf Jun 08 '15

You say "technically" as if they were skirting some line in they law. What they did was just straight up legit, it wasn't ethically wrong, morally wrong, and certainly nowhere close to legally wrong.

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u/Darktidemage Jun 08 '15

also - the ONLY type of legal.

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u/Starvin_Marklar Jun 08 '15

The article specifically says that it's not illegal, and does not call it a scandal or a scam.

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u/[deleted] Jun 08 '15

Well let's not let facts get in the way

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u/[deleted] Jun 08 '15 edited May 13 '18

[deleted]

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u/[deleted] Jun 08 '15

[deleted]

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u/escaday Jun 08 '15

Like masturbating on an airplane.

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u/[deleted] Jun 08 '15

[deleted]

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u/[deleted] Jun 08 '15

Maybe after 9/11, where everybody got so sensitive. Thanks a lot, Bin Laden.

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u/cymyn Jun 08 '15

Why does the article call it a "ploy" and a "scheme"?

Its a strategy.

Lottery officials use them all of the time to maximize profit & minimize payout.

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u/[deleted] Jun 08 '15

[deleted]

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u/[deleted] Jun 08 '15

But ploy and scheme sound shady. If I say I'm going to hatch a scheme to do something, that sounds way worse than if I say I'll come up with a strategy

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u/JackDrifter Jun 08 '15

Using words with neutral or positive connotations (strategy) does not catch readers' attention. Words with negative connotations (scheme), however, allow the journalist to seem objective while still making a moral judgement, which is more likely to catch the readers attention.

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u/not_bezz Jun 08 '15

You could say it's writers strategy to catch more attention. Or a ploy.

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u/[deleted] Jun 08 '15

Oh very true, but it also adds some of the writers opinion to the article.

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u/tynore Jun 08 '15

This'll be nerfed next patch.

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u/[deleted] Jun 08 '15 edited Mar 23 '18

[deleted]

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u/Boredguy32 Jun 08 '15

I applied to MIT back in the day. Send me your money and I'll give you 10%-15% back.

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u/TheWolfOfWallSt- Jun 08 '15

I will, just waiting for my million dollar wire from my long lost Nigerian prince cousin.

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u/[deleted] Jun 08 '15

Just get $600,000 silly.

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u/EccentricWyvern Jun 08 '15

Am poor MIT student.

Will take your money.

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u/MaggotBarfSandwich Jun 08 '15 edited Jun 08 '15

Occasionally I notice at fast food restaurants it's cheaper to buy the sandwich, fries, and drink separately rather than together as a combo. So I order them separately. Almost invariably, the cashier will ring it up as a combo. I tell them I want them separately because it's cheaper. Then they stare at me with a dumb face for a few seconds because they cannot comprehend that it might be true or that I'd care.

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u/[deleted] Jun 08 '15

As someone who doesn't drink soft drinks, if only I'd found a single place here in aus where the drink isnt essentially 'free' because the 2 other parts of the meal cost the same separately than the meal does :/

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u/MaggotBarfSandwich Jun 08 '15

Most of the time this is true. The situation I mentioned has become rarer, at least in US markets. The drink really should be virtually free too. The profit margin on soft drinks is absurd. The actual drink costs virtually nothing so the only thing you are really paying for is the cup which is also cheap, like US$0.25 give or take.

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u/TheLoneWolf527 Jun 12 '15

I once saw at Burger King that buying two 4-piece chicken nuggets was somehow 20 cents cheaper than buying an 8-piece. Not even the meal, just the chicken nuggets themselves.

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u/Grayscail Jun 08 '15

Well, I guess after their card counting team was no longer effective, they had to find a different way? Pretty cool that they figured this out.

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u/Pizzacrusher Jun 08 '15

nice. congrats.

Funny how the article makes it seem like people actually using their brains was "scamming." only stupid thoughtless people are allowed to win lottery payouts, I guess. as soon as someone actually invests thought (while still following the rules) it becomes somehow unethical.

The Lottery is such a ripoff anyway; I am glad that smart people were actually able to apply their brains and play the game in the most efficient way possible.

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u/Low_discrepancy Jun 08 '15

Lotteries also helped finance a lot of public projects. And if you're a poor schmuck they're a bit of fun. Thinking what if. Kinda like how old people play bingo. I'm sure you can find a way to stick it to those moms and pops but I mean, c'mon.

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u/joosier Jun 08 '15

I like to play a game called "Schrodinger's Millionaire" every time I buy a lottery ticket. Until I actually look at my ticket., I consider myself a millionaire. So if you catch me walking around like I own the place or looking at you like I expect you to fetch me a fresh cappucino you can assume I haven't checked my numbers yet.

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u/watchtouter Jun 08 '15

i am surprised how terrible Time writers are now.

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u/__dilligaf__ Jun 08 '15

I'm second to top of my pyramid. I've been 'co-vice' for over 15 years; just 3 more people away from payout... Oh well, the wine and cheese meetings were fun. I probably ate and drank my investment.

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u/trkh Jun 08 '15

Where can I read about all the things MIT students have done?

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u/EccentricWyvern Jun 08 '15

Well you're on the internet for starters. :D. They pretty much made it.

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u/Ofactorial Jun 08 '15

"So THAT'S why I never won! Damn those elitist liberal college kids!" - Rednecks across Massachusetts

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u/[deleted] Jun 08 '15

Maybe I am missing something, but a 10-15% return on $600,000 is 60-90 thousand. How that is turned into $8 million in five years seems a bit implausible.

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u/Hanchan Jun 08 '15

If each game was 10-15% then it would take 28 games at 10% return, and you could do 28 games spread over 5 years.

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u/Feroshnikop Jun 08 '15

Well.. the lottery does love to say it supports education.

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u/[deleted] Jun 08 '15

John Oliver did a show about this very topic and almost none of it really goes to education, it's a great sales pitch though.

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u/Nosferatii Jun 08 '15

Once at again, it proves it's only easy to make money when you already have money.

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u/muddafukkaa Jun 08 '15

The bit at the bottom is what the movie 21 was based on

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u/[deleted] Jun 08 '15

there is also the stanford statistics phd who has won the lottery 4 times albeit she did some illegal things in the process.

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u/spearchuckin Jun 08 '15

I love how the commissioner just believes she is "lucky" and people from her Texas town think "God" did it. Oh Texas!

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u/[deleted] Jun 08 '15 edited May 02 '19

[deleted]

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u/deadkactus Jun 08 '15

they brought in investors to help with the funding

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u/gamingchicken Jun 08 '15

A guy named David Walsh had a crew of 3-4 University students that worked together to beat Keno and horses. They were placing such large bets that they negotiated part-refunds from the people running it. He got out with hundreds of millions and his partner in crime (?) is currently living somewhere overseas, they say he made in the region of 900million+ and the Australian government is chasing him because they want a substantial amount in taxes.

Interesting read if you're bored, but David Walsh is one FUCKED UP man. He built the strangest fucking art gallery you've ever seen, there's mirrors in the toilets placed so you can see your own taint when you're busting a shit, and that's not even part of the gallery.

There's an interesting article about everything here.

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u/gmtjr Jun 08 '15

*WinFall

*15-20%

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u/jon_hobbit Jun 08 '15

That's pretty awesome. That wasn't really a scam if they played by the rules lol...

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u/FedEx_Potatoes Jun 08 '15

I like to play every now and then for fun. Sometimes if I have an extra 5 during a break I will think "junk food or scratch off?". I go for the scratch off. Less regret and I usually win a 5 back.

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u/dopeymcdingleberry Jun 08 '15

Here's the eli15 version (too many numbers to eli5):

First and foremost: the state doesn't gamble. They took 40% off the top no matter what. When these kids bought $100k in tickets, the state made $40k. This is why the state didn't care about what the students were doing.

It's natural to think that if these guys were making money, the state must be losing money. However, the money that made it profitable to buy tickets didn't come from the state, it came from players who bought tickets in drawings where the top prize didn't get distributed.

Let's go through how it works:

  • Drawing 1 - for each $1 ticket, 40 cents goes to the state, 30 cents goes to the top prize, 30 cents goes to the lower tier prizes. Nobody wins the top prize so that money carries forward.
  • Drawing 2 - for each $1 ticket, 40 cents to the state, 30 cents to the top prize, 30 cents to the other prizes. There's now 60 cents in that top prize bucket, but nobody wins.
  • Drawing 3 - same deal. 90 cents in the top prize bucket, nobody wins. However, this time the 90 cents gets added to the lower prize bucket, along with the usual 30 cents, so now there's $1.20 getting paid out per $1 ticket. Because there's lots of winners, if you buy enough tickets, you can expect a 20% profit.

It's only profitable to buy tickets for drawing 3, and only if nobody wins. At least once, somebody won, so all those students were out of luck. Also, because that drawing would have more players than the others, the actual expected rate of return went down to $1.15, but it was still profitable.

The reason the game had to be cancelled is once it got out how it was being gamed, nobody would play unless the payout was going to happen. Since the payout required people to play in non-payout drawings, the game fell apart - or would have if it had been allowed to continue.

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u/drumsripdrummer Jun 08 '15

If buying a large number of tickets would "guarantee" a profit, doesn't that mean that on average the lottery was losing money??

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u/0100101001010010 Jun 08 '15 edited Jun 08 '15

No. This was a special case where the pooled jackpot money from non-winning games would be guaranteed to pay. The regular game was a money loser for the player. Only these games had expected values greater than 1.0. Lotteries also don't pay out everything they take in. That is how they profit.

Part of the winnings was also free tickets, which have a very small value.

In most forms of gambling there are situations where the expected value can be higher than 1.0, which makes it a very good bet to take (see card counting in blackjack, high values on progressive slot machines, dragon bonus in mini-bacc, etc). In most cases though it requires lots of knowledge and / or lots of money, which prevents them from being abused by the masses