425.One Redraw Allowed
★★★optimal stoppingCh. 6 — Random Variables and Expectation444+ Problems in Probability
You draw a uniform random number from . You may keep it, or discard it and draw once more — your payout is the last number drawn. Under the optimal strategy, what is your expected payout?
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Redraw exactly when the first number is below what a fresh draw is worth.
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