Three Dice
Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.
Roll three fair cubic dice and get the sum 5. What's the probability of it?
Answer
The sum 5 has two combinations: 3+1+1 or 2+2+1. Each combination has 3 different possible orders, which total 6 different permutations.
Three dice have a total of 6^3=216 outcomes, and so the probability is 6/216=1/36.
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