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I'm flipping three coins. If all three are the same (all heads or all tails) then I will get 10 dollars and I may finish the game. If it is not the case then I might ask to flip any number of the coins again (to flip one of them or two of them again, etc.). What's the expected gain by playing this game?
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Intern

Interviewed at Jane Street

4.4
May 6, 2018

I'm flipping three coins. If all three are the same (all heads or all tails) then I will get 10 dollars and I may finish the game. If it is not the case then I might ask to flip any number of the coins again (to flip one of them or two of them again, etc.). What's the expected gain by playing this game?

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