A and B are two events such that `P(A)=0. 25\ a n d\ P(B)=0. 50.` The probability of both happening together is 0.14. The probability of both A and B not happening is a. 0.39 b. 0.25 c. 0.11 d. none of these

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’ ∩B’) = 1-P(AUB)`


Hence, the required
probability `= 1- [P(A) + P(B) – P(A ∩B)]`


...