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The Game

Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.


Puzzle ID:#41777
Fun:*** (2.73)
Difficulty:*** (2.22)
Submitted By:fro92*




Mike and James are arguing over who gets the last cookie in the jar, so their dad decides to create a game to settle their dispute. First, Mike flips a coin twice, and each time James calls heads or tails in the air. If James gets both calls right, he gets the last cookie. If not, Mike picks a number between one and six and then rolls a die. If he gets the number right, he gets the last cookie. If not, James picks two numbers between one and five, then spins a spinner with numbers one through five on it. If the spinner lands on one of James' two numbers, he gets the last cookie. If not, Mike does.

Who is more likely to win the last cookie, Mike or James? And what is the probability that person wins it?


Their dad is a very smart person.

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May 03, 2008

Not too hard, and these are always fun. Thanks.

Good explanation of the answer.
May 04, 2008

I thought it was hard, but it was fun...
May 16, 2008

i guessed and i got it right!!!! i feel so smart
Nov 16, 2008

The hint made it easy to guess, but I actually figured out the calculations! Good one!
Jan 04, 2009

A fun diversion from the daily routine. Simple, but gets your brain working a bit.
Jan 10, 2009

My dad likes to waste time too. Next time he needs to make a decision I'll tell him to flip a coin !
Jan 26, 2010

Too easy if you know anything about probability.
Feb 26, 2015

liked this one, this question is a good review to probability. I got the formulation correct somehow and got the answer

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