Question

If A and B are events such as that P(A) = `1/2`, P(B) = `1/3` and P(A ∩ B) = `1/4`, then find

1) P(A / B)

2) P(B / A)

Answer 1

P(A) = 1/2      P(B) = 1/3    P(A∩B) = 1/4

`P(A "/" B) = (P(A∩B))/P(B) = (1/4)/(1/3) = 3/4`

`P(B "/" A) = (P(A ∩ B))/(P(A)) =  (1/4)/(1/2) = 1/2`