Answer: Mutually exclusive means the events cannot overlap; exhaustive means together they cover the whole sample space.
- A Mutually exclusive means the events cannot overlap; exhaustive means together they cover the whole sample space
- B The two terms describe identical conditions expressed in different words
- C Mutually exclusive events must always be equally likely as well
- D Exhaustive events must always have equal probabilities in every case
Correct answer: A. Mutually exclusive means the events cannot overlap; exhaustive means together they cover the whole sample space
Explanation: A ∩ B = ∅ concerns overlap, while A ∪ B = S concerns coverage; events can satisfy either condition without the other.
Concept context
Random experiments, sample space, events, and the axiomatic approach to probability