Jane Street Interview? SOLVE USING RECURRENCE! | Quant Interview Questions #16

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Question:
Toss a fair coin between two people. If it ends with HHT, A wins the game. If it ends with HTT, B wins the game. What's the probability of A winning the game?

Step-by-step walkthrough of a interview question reported to be asked by
Jane Street for a trading internship

This question is suitable as practice for Quant Trading, Quantitative Researcher, Quantitative Developer, Desk Quant and Data Scientist technical interviews

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#quant #interview #janestreet #statistics #probability #brainteasers #quantfinance #interviewquestions #series #geometricseries

[myquantitative]

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[nonam]

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[quczkxu]

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[hck]

I would use a Markov chain with two absorbing states

[quczkxu]

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[aadfg]

Let probability be p. Wait until first H. If there's another H, A wins. If there's TT, B wins. Else TH and we're back to the first H state. Hence p = 1/2 + 1/4*0 + 1/4*p -> p = 2/3.