option c is correct that if the two events are mutually exclusive than they cannot be independent.
As, we know that "mutually exclusive events are those events that do not occur at the same time".
Mutually exclusive events do not share any sample points with each other, so they cannot occur at same time. Thus, if event A and event B are mutually exclusive, they are actually inextricably dependent on each other because A's existence reduces event B's probability to zero and vice-versa.
Therefore, 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 of the other must be zero.
Hence, option c is correct that if the two events are mutually exclusive than they cannot be independent.
Find out more information about mutually exclusive events here:
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