Problem bank
Problem 306 of 333HardStochastic ProcessesP306
Calling the last six
A fair die will be rolled 10 times, one roll at a time. Right after any roll that shows a 6 you may call "last". You get one call. You win if no 6 appears on any later roll. If you never call, you lose.
What strategy maximizes your chance of winning, and what is that chance? How does it compare with calling on the first 6 you see?
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