1.

A pair of diceis thrown. Find the probability of getting the sum 8 or more, if 4 appears onthe first die.

Answer» Here,
`A = `Event that `4` appears on first die.
`A = {(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)}`.
`:. n(A) = 6`
Let `B = `Event that sum of the dice is `8` or more.
Then, `B = {(3,6),(6,3),(2,6),(6,2),(5,3),(3,5),(4,4),(4,5),(4,6)}`
Now, `(AnnB) = {(4,4),(4,5),(4,6)}`
`=>n(AnnB) = 3`
`:.` Required probability , `P(B/A) = (n(AnnB) )/(n(A)) = 3/6= 1/2`


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