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jmc

counting and probability junior

Problem

Three fair, standard six-sided dice are rolled. What is the probability that the sum of the numbers on the top faces is 18? Express your answer as a common fraction.
Solution
We quickly note that the only way for three dice to sum to 18 is for the face of each to be a 6. So, if each die is a 6, then the probability of this occurring is .
Final answer
\frac{1}{216}