The probability of two events A and B are 0.25 and 0.50 respectively. The probability of their simultaneous occurrences 0.14. Find the probability that neither A nor B occurs.

Explanation

Given that, `P(A) = 0.25, P(B) = 0.50, P(A ∩B) = 0.14`.


The probability that neither` A` nor `B` occurs `P(A’ nn B’) = 1-P(A uu B)`


`= 1- [P(A) + P(B) – P(A ∩B)]`


`= 1- [(0.25)+(0.50) -(0.14)]`


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