381.Coin-Flip Bankruptcy
★★★random walksCh. 2 — Axiomatic and Conditional Probability444+ Problems in Probability
Vishnu and Jason have and in their accounts. They flip a fair coin repeatedly: heads, Vishnu pays Jason ; tails, Jason pays Vishnu . What is the probability that Jason runs out of money first?
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Fair gambler's ruin: ruin probabilities are proportional to the *opponent's* bankroll.
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