Gambler's Ruin with Biased Dice
Two players each start with 12 tokens. They repeatedly roll three dice. 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 $A$. All other sums are ignored, and they keep rolling. The game ends when one player has all 24 tokens.
What is the probability that player $A$ wins?
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