SOLUTION: Two dice are rolled. Find the probability of getting a sum of 8 if the number on one die is a 5.

Question 475898: Two dice are rolled. Find the probability of getting a sum of 8 if the number on one die is a 5.

Found 2 solutions by stanbon, richard1234:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Two dice are rolled. Find the probability of getting a sum of 8 if the number on one die is a 5.
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Winners: (5,3);(3,5)
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Ans: 2/36 = 1/18
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Cheers,
Stan H.
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Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
You are given that one die is a 5, so we only consider the pairs with at least one 5:

{1,5},{2,5},...{6,5}

{5,1},{5,2},...,{5,6}

There are eleven cases (we have to subtract 1 because {5,5} is counted twice). We get a sum of 8 if we get {5,3} or {3,5} so the probability is 2/11.
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