Question

Define in words mutually exclusive events. Choose the correct answer below. A. Events A and B are mutually exclusive if A contains all sample points not contained in B and vice versa. B. Events A and B are mutually exclusive if A and B have no sample points in common. C. Events A and B are mutually exclusive if A and B contain exactly the same sample points. D. Events A and B are mutually exclusive if all of the sample points in A are also in B or vice versa.

Answer 1

B. Events A and B are mutually exclusive if A and B have no sample points in common.

Explanation:

When two events( call them A and B) are mutually exclusive , it is impossible for them to happen together.

P(A and B) = 0

"The probability of A and B together equals 0 (impossible)"

Hence, the correct answer is B.

B. Events A and B are mutually exclusive if A and B have no sample points in common.