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430.One Re-Flip Each

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optimal stoppingCh. 6 — Random Variables and Expectation444+ Problems in Probability
You flip 8 fair coins at once, then may re-flip any subset of them, each coin at most once. You receive $1\$1 per head at the end. Playing optimally, what is the fair value of the game?

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One Re-Flip Each | Quant Practice