You are to roll R fair dice simultaneously, and you will win $1 for each value
which shows on exactly one die. For example, if R = 4 and
the dice show 5, 3, 1, and 3 then you win $2 (the threes don't count, since the number 3
shows on more than one die).
How should you choose R to maximize your
expected winnings, and how much do you expect to win for this optimal value of R?
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On 5 Jan 2000, 00:16.