easy   Probability

Three Die Sum

A release-checked easy problem for training Combinations and Permutations, Dice, Multinomial Coefficient, Combinatorics.

Question

Find the probability that sum of the upfaces is $10$ when three standard fair 6-sided dice are rolled.

Practice focus

This Probability problem is tagged Combinations and Permutations, Dice, Multinomial Coefficient, Combinatorics. State the random variables and conditioning information explicitly, then check the result against boundary cases before opening hints or a solution.

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