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If three, standard, 6-faced dice are rolled, what is the probability that the sum of the face up integers is \(10\)?

 May 1, 2022
 #1
avatar+23183 
+1

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

 May 1, 2022
 #2
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+1

geno3141's answer is correct, but it can be simplified to 1/8.

Guest May 2, 2022

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