Question 1076928
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.