Question

Let Omega be a sample space. Two events A and B are mutually exclusive if and only if... (choose the correct definition)

A. the intersection of A/B and B/A is empty.
B. the union of A and B is equal to Omega.
C. the intersection of A and B is Omega.
D. the union of its complements is equal to Omega.

Answer 1

The correct option is A: the intersection of A/B and B/A is empty. Two events A and B are mutually exclusive if they cannot occur at the same time, meaning the intersection of A and B is empty.

Step-by-step explanation:

Two events A and B are mutually exclusive if they cannot occur at the same time. This means that A and B do not share any outcomes and P(A AND B) = 0. In other words, the intersection of A and B is empty. The correct definition for mutually exclusive events is A. the intersection of A/B and B/A is empty.