Suppose that S and T are mutually exclusive events. Which of the following statements is true?
A)S and T must also be independent.
B)S and T cannot possibly be independent.
C)S and T may or may not be independent.

Question

Suppose that S and T are mutually exclusive events. Which of the following statements is true? 
A)S and T must also be independent.
B)S and T cannot possibly be independent.
C)S and T may or may not be independent.

Quizplus · Accepted Answer

Mutually exclusive events cannot occur at the same time, and if one event occurs, it completely rules out the occurrence of the other. This dependency between the events means they cannot be independent. Independence implies that the occurrence of one event does not affect the probability of the other event occurring, which contradicts the definition of mutually exclusive events.

Suppose That S and T Are Mutually Exclusive Events