All Questions

Next Question

Token Tussle

00:00:00

Parts

Part 1

Two players each start with 12 tokens. They roll three dice until the sum is either 11 or 14. If the sum is 14, player $A$ gives a token to player $B$; if the sum is 11, player $B$ gives a token to player $A$. They repeat this process until one player, the winner, has all the tokens. What is the probability that player $A$ wins?