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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
Solution
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
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