Question

The probability of the event A occuring is 0.5 and of B occuring is 0.3.If A and B are mutually exclusive events then the probability of neither A nor B occuring is

Answer 1

A and B are mutually exclusive events.
∴P(A∩B)=ϕ=0

P(A∪B)=P(A)+P(B)−P(A∩B)
⇒0.5+0.3 - 0
⇒0.8
P(A∪B)′ = 1−P(A∪B)
⇒1−0.8
⇒0.2