Answer
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Work Step by Step
Independent events are events for which the probability of one isn't affected by the other. Mutually exclusive events are ones where one cannot happen if the other does, i.e. for two events A and B, if A happens, B cannot and if B happens, A cannot.
In more detail: Independent events essentially mean that $P(A|B)$, or $P(A)$ given B is equal to $P(A)$, because B has no effect on A.
Mutually exclusive: $P(A|B) = 0$, and $P(B|A) = 0$, so if A happens, B can't happen and vice versa.