Question

If A and B are mutually exclusive events, P(A) = 0.35 and P(B) = 0.45, find P(A′ ∩ B′)

Answer 1

Given that P(A) = 0.35 and P(B) = 0.45

Since the events A and B are mutually exclusive then P(A ∩ B) = 0

P(A′ ∩ B′) = 1 – P(A ∪ B)

= 1 – 0.80

= 0.20