Two events being "mutually exclusive" means that if one happens the other cannot. If I fliponecoin, coming up "heads" or "tails" is mutually exclusive- if the coin is "heads", it cannot also be "tails". "Independent" means that one happening has no effect on whether the second happens. If I fliptwocoins the fact that one comes up heads says nothing about whether the other is heads or tails- they are independent (which meansnot"dependent". Of course, if two events are mutually exclusive then they must be dependent! If one happens the othercannothappen so one happening certainly affects the other.