Question

A and B are two events. P(A) = 0.54; P(B) =0.42; p(A or B) = 0.85. Find the probability of A and B.

Answer 1

0.98

Explanation:

Work Shown:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.13 + 0.85 - 0

P(A or B) = 0.98

Note that P(A and B) is 0. This is because we are told A and B are mutually exclusive events. This means both events cannot happen simultaneously. An example would be flipping a coin to have it land on heads and tails at the same time.