The probability of happening of an event A is 0.5 and that of B is 0.3. If A and B are mutually exclusive events, then the probability of neither A nor B is…..

Options

A. 0.6
B. 0.5
C. 0.7
D. none of these

Answer

D

Explanation

We have, P(A)=0.5. P(B)=0.3
Required probability `=P(overline(A) cap overline(B))=P(overline(A cup B))`
`=1-P(A cup B)`
`=1-{P(A)+P(B)} " " [because A, B` are mutually exclusive events]
`1-(0.5+0.3)=0.2`