Two events A and B are said to mutually exclusive if P(A) = P(B).

Question

Quizplus · Accepted Answer

Two events are said to be mutually exclusive if they cannot occur at the same time, i.e. their intersection is empty. Therefore, the probability of their intersection is 0, which means P(A AND B) = 0. This, in turn, implies that P(A) + P(B) = P(A OR B). If P(A) = P(B), then we have P(A OR B) = 2P(A), which contradicts the fact that probabilities cannot be greater than 1. Hence, the statement is false.

Two Events a and B Are Said to Mutually Exclusive