`A` and `B` are two events such that `P(A)=0. 25` and `P(B)=0. 50.` The probability of both happening together is `0.14`. The probability of both `A` and `B` not happening is

Options

A. a) `0.39`
B. b) `0.25`
C. c) `0.11`
D. d) none of these

Answer

a) `0.39`

Explanation

Given,


`P(A) = 0.25, P(B) = 0.50, P(A nnB) = 0.14`.


Now,


Probability that neither `A` nor `B` occurs `= P(A’ nnB’) = 1-P(AuuB)`


Required probability `= 1- [P(A) + P(B) – P(AnnB)]`



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



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