Find the probability that the sum of the numbers showing on two dice is 8, given that at least one die does not show five.

Explanation

Let A = represents at leastone 1 dice doesn’t show `5`

Let B = represents sum of the numbers on two dice is` 8 `.


`A={(1,1),(1,2)(1,3),(1,4),(1,6),(2,1),(2,2)(2,3),(2,4),(2,6),(3,1),(3,2),(3,3)(3,4),(3,6),(4,1),(4,2),(4,3),(4,4),(4,6),(6,1), `


`(6,2),(6,3),(6,4),(6,6)} `


`B={(2,6),(3,5),(4,4),(5,3),(6,2)}`



Then ,

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