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A coin lands Heads with probability 2/3: on Heads you win $1 from your opponent, on Tails you pay $1. You start with $10 against $20. What is the probability you bankrupt them?

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A biased coin lands Heads with probability 2/3. On Heads your opponent pays you $1, on Tails you pay them $1. You start with $10 and your opponent with $20; you play until one is bankrupt. What is the probability that you win? Candidates report this question with different numbers from one sitting to the next.

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