Can two events with nonzero probabilities be both independent and mutually exclusive? Choose the correct answer below. O A. Yes, two events with nonzero probabilities can be both independent and mutually exclusive when their probabilities add up to one. O B. No two events with nonzero probabilities cannot be independent and mutually exclusive because if two events are mutually exclusive, then when one of them occurs, the probability o the other must be ze ° C. Yes, two events with nonzero probabilities can be both independent and mutually exclusive when their probabilities are equal. O D. No, two events with nonzero probabilities cannot be independent and mutually exclusive because independence is the complement of being mutually exclusive.
Answer
Answer. B) No two events with nonzero probabilities cannot be
independent and mutually exclusive because if two events are
mutually exclusive the when one of them occurs the probability of
other must be zero.
- Two events with nonzero probabilities cannot be both mutually
exclusive and independent.
- If one mutually exclusive event is known to occur, the other
cannot occur.; thus, the probability of the other event occurring
is reduced to zero (and they are therefore dependent