Question

Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E ∩ F) = 0.2, find P (E|F) and P(F|E).

Answer 1

Given P(E) = 0.6, P(F) = 0.3 and P(E ∩ F) = 0.2

`P(E|F) = (P(E ∩ F))/(P(E)) = 0.2/0.3 = 2/3`

and `P(F|E) = (P(E ∩ F))/(P(E)) = 0.2/0.6 = 1/3`