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sum of outcomes of three dice (Posted on 2009-11-20) Difficulty: 2 of 5
What is the probability that the sum of outcomes of three dice thrown together is 9?

See The Solution Submitted by Vishal Gupta    
Rating: 3.0000 (1 votes)

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Solution solution | Comment 4 of 5 |
The total number of permutations of 3 dice are 63 = 216.

There are 25 total permutations of 3 dice summing to 9:

6 permutations of {1,2,6}, 6 permutations of {1,3,5},
3 permutations of {1,4,4}, 3 permutations of {2,2,5}, and
1 permutation  of {3,3,3}.

The probability of the sum of 9 for 3 dice is 25/216 ~= 0.115741.
  Posted by Dej Mar on 2009-11-20 16:08:34
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