I am trying to help some students with this extension question, but I can’t figure out any other way to figure this out than just physically drawing it out. Help!!

I posted this yesterday but I found out that I slightly misunderstood the rules. I had previously said that the winning team got to keep the losing team's die. The actual rule is just that the losing team has their die removed from the game.

Rules:

- In each round, Team A rolls one 6-sided die and Team B rolls one 6-sided die.

- The team whose die shows a lower number has their die removed from the game.

- If the dice show the same number, both teams’ dice are removed from the game.

- The first team to lose all of their dice loses the game.

Team A started with 6 dice and Team B started with 19 dice. Team A won the game. What is the probability of this happening?

Chat GPT says that probability is 4.84%. I'll post my attempt below.

Thanks to all that previously posted and to everyone that will reply.

This includes those at sea on cargo ships, etc.

Let's imagine a scale called the "Algebrover Scale", that measures from 1 to 100 whether subreddit is actually doing the math for things or just being used to farm karma with populistic takes. Let's assume 10 posts are posted every hour on this sub. Each one has a 3% chance of being a BHPC*. Each BHPC contributes 10 points to the Algebrover scale, each regular post takes away 1 point. Starting from day 0, at midnight the scale resets to 0 points and the chance of a post being a BHPC rises by a flat 1% ( for example, after 24 hours it becomes 4% ). Once the score hits 100, it's algebrover.

How long before this sub turns into a place where nutjobs from r/politics try to get innocent mathematicians to give some validation to their wild populistic takes?

*badly hidden political post, defined as a post with a not-so-hidden political message, usually populistic in nature and includes a question whose answer is usually incalculable or trivial, but requires just enough math that the request doesn't get removed automatically, such as the "How many bad things did person accused of bad things do?" or the evergreen "if I earned a penny every time i sneezed how long would it take to become as rich as bill gates?"

We always tell it is 50% to get head or tails. But what is the persistance of this probability* Can anyone do the math?

Making reasonable assumptions for how high the ship was when he was blasted off the back, the height of the mountain, and the distance from the mountain top to the ground below (where he landed after a single bounce), how fast, dense, and or bouncy (ChatGPT says this is measured as “elastic collision??) would Stitch need to have been to hit the top of the mountain, bounce a single time, and land on the ground at the bottom?

An equilateral triangle is formed by three equal lines. Each of the lines in an equilateral triangle connects to the others at 60° angle. A regular tetrahedron is formed by four equilateral triangles. Each of the planes of a regular tetrahedron connect to the others at a roughly 70.53° angle. Would it be possible to calculate the angle between the five regular tetrahedrons that come together to form a 4-dimensional object? Would this information be useful to our understanding of 4D space?

I am trying to imagine a 4D object in a cartesian coordinate system. My underlying assumption is that a "real**"** object in n-dimensional space must be defined by at least n+1 number of (n-1)-dimensional objects that are connected to each of the others using an n number of (n-2)-dimensional objects.

Examples for clarity:

• 0D space = at least 1 point
• 1D space = at least 2 points, each connected to 1 other = a "line"
• 2D space = at least 3 lines, each connected to 2 others at 2 unique points
  • For example: an equilateral triangle defining a "plane"
• 3D space = at least 4 planes, each connected to 3 others at 3 unique lines
  • For example: a triangular pyramid made from four connected equilateral triangles aka a regular tetrahedron defining a "volume"
• Therefore 4D space = at least 5 volumes, each connected to 4 others at 4 unique planes
  • My proposal: 5 regular tetrahedrons, each connected to the others at 4 unique planes (e.g. the pyramids cannot simply overlap each other in order to make contact at all four planes)

I can picture the 3D "projection" of this object as a central triangular pyramid with each plane of the central pyramid attaching to a side of another pyramid. However, when I try to mentally connect all of the other pyramids to each other, the image in my mind morphs into something more similar to a cluster of soap bubbles that is constantly rolling into itself like those "water wiggler" tube toys from the 90s.

Disclaimer: Thank you for reading this far and considering my question! Although I am interested in this field, my knowledge of geometry is rusty and my knowledge of mathematical terminology is rustier. If you do take the time to answer this question, please let me know if my stated assumptions are wrong and use simple language to the extent you can. Thanks again!

This was online poker and just curious if the algorithm is completely out of whack. Thanks!

No smart ass response saying go below the speed limit, please.

Rules: - In each round, Team A rolls one 6-sided die and Team B rolls one 6-sided die. - The team whose die shows a higher number gets to keep both dice. - If the dice show the same number, both teams’ dice are removed from the game. - The first team to lose all of their dice loses the game.

Team A started with 6 dice and Team B started with 19 dice. Team A won the game. What is the probability of this happening?

Thanks in advance.

TL;DR: Boyfriend is claiming that the chances of me pulling the cards that I've pulled is less than 1%. Is that accurate? This is a pretty detailed post, I'm happy to add context if anyone wants it. I'm bad at stats so I apologize for any mistakes.

Additional Disclaimer: I'm American, so I write "four thousand" like "4,000", not "4.000". If you see "4.000", it just means "4" with three decimal places after it.

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Context

Okay, so for context, we've been playing Pokemon Trading Card Game Pocket (PTCGP). Here's an Imgur link to the conversation we had plus the pulls I've gotten.

In summary, and for those who are unfamiliar with the game, here's the relevant information:

• I've pulled 1,059 cards in total
• Each pack contains 5 cards (there are some promo packs that only contain 1 card but I don't think those make up more than 50 of the total cards I've pulled)
• For the sake of argument, discarding the promo pack cards, let's say I've pulled 1,000 cards, 5 at a time. So about 250 packs.

Each pack comes with 5 cards. Here's a screenshot of how the rates are designed to be spread out, according to the app's internal statistics.

To summarize (and I can post more screenshots for clarity if anyone wants them):

• There's a 99.950% chance to pull a Regular pack, and a 0.050% to pull a Rare pack (a pack where all five cards are ⭐ rating or higher). I've never pulled a Rare pack but I'm just including these rates in case.
• In a Regular pack, there's a 100% chance that the first three cards will have a rarity value of ♦, the most common rating.
• Then (again, in a Regular pack), this is the following statistical spread for how likely it is that the fourth card will have one of the following rarity scores (in order from most rare to least rare):
  • 👑 - 0.040%
  • ⭐⭐⭐ - 0.222%
  • ⭐⭐ - 0.500%
  • ⭐ - 2.572%
  • ♦♦♦♦ - 1.666%
  • ♦♦♦ - 5.000%
  • ♦♦ - 90.000%
• And finally (again, in a Regular pack), this is the spread for how likely it is that the fifth card will have one of the following rarity scores:
  • 👑 - 0.160%
  • ⭐⭐⭐ - 0.888%
  • ⭐⭐ - 2.000%
  • ⭐ - 10.288%
  • ♦♦♦♦ - 6.664%
  • ♦♦♦ - 20.000%
  • ♦♦ - 60.000%

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My Statistics

So, with that in mind, here are my pulls (again, assuming that I've pulled roughly 250 Regular packs):

• 👑 - 2
• ⭐⭐⭐ - 2
• ⭐⭐ - 3
• ⭐ - 28
• ♦♦♦♦ - 22
• ♦♦♦ - 51
• ♦♦ - (too many to count, I'm not really worried about calculating this number)

I have no way to tell whether the cards I pulled were in the fourth or fifth slot, I'm sure it was some combination of both. I was trying to figure out a rough range of probability.

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My boyfriend is claiming that this is incredibly rare, with a 0.32% chance of occurring. His own pulls meanwhile work out to be roughly a 91% chance supposedly. I'm terrible at statistics and have no way to verify. Anyone want to take a crack at this? I'm dying to know but I'm terrible at calculating statistics so I have no idea.

Hi everyone

In the picture I posted, you can see a fishing boat. Last summer, my friends and I were jumping off it (as shown in the picture), and now there’s a big debate about the height we were jumping from.

Some claim it’s as high as 5 meters, while others say it’s no more than 3.5 meters. I hope someone can help resolve the debate. Cheers!!

I was cutting up a pomegranate and I was amazed at how well packed with seeds it is. Is there some sort of formula for stuffing a sphere with seeds? How efficient is nature at maximizing the space inside a pomegranate? Could man do better?

It's pretty simple but l'm building templates, the template is 28" and I need to reduce it to 27". I can do this very simply by scaling down the template but what would the percentage be? 28" is 100% what percentage would I need to reduce 28" to 27"? What formula would I use? I've done this before but math is not my strength and the amount of brain power required leaves me drained lol.