Who has the advantage? Dice game puzzle

Reply #4

db101 — Wed, 01 Feb 2023 04:13:21 GMT

That's all completely irrelevant to this puzzle because we're not talking about your standard numbered dice here. But speaking of regular dice, I got another really good probability puzzle courtesy of my whiz kid. I'll try to remember to post it tomorrow.

PS- Old Sausage Fingers is the last person you should be quoting in regard to anything mathematical. A person can know a lot about games and gambling without knowing a lick of math. That dude's in the remedial class when it comes to math. S... [ More ]

Reply #3

eddessaknight — Wed, 01 Feb 2023 02:58:54 GMT

This informative Dice odds contribution credit by, our professional gaming LV member

COIN TOSS:

For a real good lesson in odds consider how the odds of a pair of dice (each die with six pips on it) rollings 2, 3, 4, 5, 6, 7, 8, 9, 10,11, 12 come into being.

There's one and only one way to roll a 2, a one and a one. Two ways to roll a 3, a one and a two or a two and a one. Go from there. I'll help you out, 4, 5, ,and 6 are the same as 8,l9,and 10 for odds purposes.Six ways to roll... [ More ]

Reply #2

db101 — Sat, 14 Jan 2023 22:13:26 GMT

Thats a good solution. The textbook solution was summing a geometric series that converges to 1/2.

Reply #1

cottoneyedjoe — Fri, 13 Jan 2023 03:50:35 GMT

I've heard it before, but I won't stop you. They both have a 50% chance of winning, so it's a fair game.

One way of solving it is like this: Brad makes the first roll and has a 1/3 chance of winning. That means there's a 2/3 chance that the turn passes to Alice for the second roll. Her chance of winning is therefore (2/3) x (1/2) = 1/3, same as Brad. And the remaining 1/3 of the time nobody wins. If nobody wins, the game resumes as if the first two rolls never happened. Neither player has a... [ More ]

Who has the advantage? Dice game puzzle

db101 — Thu, 12 Jan 2023 02:15:41 GMT

This was a puzzle from my kid's advanced math class. Stop me if you've heard this one before.

There's two people, Alice and Brad, who each have a six sided die. Alice's has 3 red faces and 3 white faces. Brad's has 2 red faces and 4 white faces. Alice proposes a game where they take turns rolling and whoever gets red first wins. Brad says it's not fair because Alice's die has more red faces. So Alice says Brad can go first to make up for it. Which one is more likely to win the game... [ More ]