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You roll a die and add up the rolls until a 5 or a 6 appears. A 5 pays the sum of the earlier rolls, a 6 pays nothing, and you may cash out at any time. When do you stop?

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Related questions

You roll a die repeatedly and may cash in the running total at any time, but you lose everything if it ever lands on a perfect square. When should you stop?Keep rolling a die and count how many times each face has appeared; stop when any face's count is greater than 100. What is the expected sum of all the rolls?Roll a fair die until a 6 appears. Given that the first 6 came before the first 5, what is the expected number of rolls?

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