SOLUTION: A fair die is rolled three times; Y is the sum of the three numbers obtained. Find the probability that Y=6.

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Question 1026959: A fair die is rolled three times; Y is the sum of the three numbers obtained. Find the probability that Y=6.
Found 2 solutions by stanbon, robertb:
Answer by stanbon(75887) About Me  (Show Source):
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A fair die is rolled three times; Y is the sum of the three numbers obtained. Find the probability that Y=6.
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Winning Combinations:: 1,1,4 (3 ways) ; 1,2,3 (6 ways) ; Total of 9 ways
P(Y = 6) = 9/(6^3) = 0.04167
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Cheers,
Stan H.
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Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
6 permutations of {1,2,3},
3 permutations of {1,1,4}, and
the outcome 2+2+2=6.
==> probability is 10%2F6%5E3+=+5%2F108