Thursday, October 19, 2017

probability - Expected value of game involving 100-sided die

The following question is from a Jane Street interview.


You are given a 100-sided die. After you roll once, you can choose to either get paid the dollar amount of that roll OR pay one dollar for one more roll. What is the expected value of the game? (There is no limit on the number of rolls.)


P.S. I think the question assumes that we are rational.

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