Suppose that you are organizing the game described at the end of Section 2.3.1. where you charge

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Suppose that you are organizing the game described at the end of Section 2.3.1. where you charge players $2 to roll two dice, and then you pay them the difference in the scores, [f you fix the dice so that each die has a probability of 0.2 of scoring a 3 and equal probabilities of 0.16 of scoring the other live numbers, do your expected winnings increase beyond 6 cents per game? Is this a surprise?
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