If there are 4 players rolling 3 fair, 6-sided dice each, what are the odds of rolling any of the following sums of 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18 with replacement? The player is taking one turn to roll their dice, and will end up with one of the above sums. All players have a fair chance to roll any of these sums. (note: sum 10 is missing on purpose)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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If there are 4 players rolling 3 fair, 6-sided dice each, what are the odds of rolling any of the following sums of 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18 with replacement?

The player is taking one turn to roll their dice, and will end up with one of the above sums. All players have a fair chance to roll any of these sums.

(note: sum 10 is missing on purpose)

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