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Two events, A and B, are mutually exclusive if whenever A occurs it is impossible for B to occur and, similarly, whenever B occurs it is impossible for A to occur. For example, when rolling a six sided number cube, if A is the event roll a even number and B is the event roll an odd number, A and B are mutually exclusive events. The occurrence of one event completely prevents the occurrence of the other. Here is a Venn Diagram for mutually exclusive events A and B. The two sets do not overlap. Events A and B are mutually exclusive if and only if P(A n B) = 0. Therefore, in general P(A U B) = P(A) + P(B) 6) Determine whether the events A and B are mutually exclusive. The experiment is rolling a six sided number cube one time. Let A be the event "roll a four" and let B be the event "roll an even number". 7) Determine whether the events A and B are mutually exclusive. The experiment is rolling a six sided number cube one time. Let A be the event "roll a square number" and let B be the event "roll an odd number". 8) Two events N and M are such that P(N) = = and P(M) = To and P(N U M) = 70- Are N amd M mutually exclusive events? 9) Suppose P(A) = = and P(B) = , find P(A U B) assuming A and B are mutually exclusive. 10) Suppose P(A) = = and P(B) = , find P(A n B) assuming A and B are independent. Extra Credit. Suppose P(A) = = and P(B) = = , find P(A U B) assuming A and B are independent