Jane Street

Interview Question

Trader Interview
Jane Street

Part 1: We are playing a game where we start at 0 and flip a coin until someone wins. Every heads adds +1 to the number and every tails adds -1. If the number reaches -10, the interviewer wins; if it reaches 20, you win. What is the probability that the interviewer will win? Part 2: I am thinking of a 10-digit number. The first digit is the number of 0s in the number, the second is the number of 1s, and so on. What is the number?

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