If three, standard, 6-faced dice are rolled, what is the probability that the sum of the face up integers is \(10\)?
+23252 There are 6 x 6 x 6 = 216 ways for the dice to fall.
The ways to get a sum of 10:
6,3,1 5,4,1 4,5,1 3,6,1 2,6,2 1,6,3
6,2,2 5,3,2 4,4,2 3,5,2 2,5,3 1,5,4
6,1,3 5,2,3 4,3,3 3,4,3 2,4,4 1,4,5
5,1,4 4,2,4 3,3,4 2,3,5 1,3,6
4,1,5 3,2,5 2,2,6
3,1,6
The probability is 27/216
