Draw three cards, discard the lowest and draw a replacement. What is the expected sum of the final three?
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From a 52-card deck with A=1 ... K=13 you draw three cards. You then discard the lowest of the three and draw one replacement card at random. What is the expected sum of the final three cards if (a) the discarded card is returned to the deck before the replacement draw, and (b) it is not returned?
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