SOLUTION: Two dice are thrown.given that the sum of the dice is 8,what is the probability that one 5 is cast?

Question 1076928: Two dice are thrown.given that the sum of the dice is 8,what is the probability that one 5 is cast?
Answer by alanc(27) (Show Source): You can put this solution on YOUR website!
Two dice are thrown.given that the sum of the dice is 8,what is the probability that one 5 is cast?
let x and y represent the outcome of each dice roll.
x + y = 8
We need to find the probability that one 5 is casted.
x: 2, 3, 4, 5, 6
y: 6, 5, 4, 3, 2
There are 5 cases here for a sum of 8.
Only 2 sets show a set with one 5.
Therefore 2/5 is the probability of getting at least one five given that the sum of the dice is 8.

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