Question

The probabilities of happening of two events A and B are 0.25 and 0.50 respectively. If the probability of happening of A and B together is 0.14, then probability that neither Anor B happens is

Options

•  0.39

•  0.25

•  0.11

•  none of these

   

Answer 1

 0.39
Given:
P(A) = 0.25, P(B) = 0.50 and P(A \[\cap\]B) = 0.14
∴ Required probability = 1 - P(A∪B)
                                    = 1  -  [P(A) + P(B) - P(A \[\cap\]B)]
                                    = 1 -  [0.25 + 0.50  - 0.14]
                                    = 1 - 0.61 = 0.39