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Coin Flip: Stop at Positive Expectation

MediumStatistics & Probability00:00
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Your question is Coin Flip: Stop at Positive Expectation. Take a moment with it on the right.

Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).

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Problem

You are offered a game where you flip a fair coin. Every time it comes up heads, you win $1 and can choose to continue or stop. Every tails loses $1. When would you stop?