Solved: A fair die is rolled some number of times you can choose, Basic Statistics

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A fair die is rolled some number of times you can choose

Question: A fair die is rolled some number of times. You can choose whether to stop after 1, 2, or 3 rolls, and your decision can be based on the values that have appeared so far. You receive the value shown on the last roll of the die, in dollars. What is your optimal strategy (to maximize your expected winnings)? Find the expected winnings for this strategy.

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Basic Statistics: A fair die is rolled some number of times you can choose

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