SOLUTION: Events a and b are mutually exclusive. Suppose even a occurs with probability 0.14 and event b occurs with probability 0.56 A. Compute the probability that a does not occur or

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Question 1147917: Events a and b are mutually exclusive. Suppose even a occurs with probability 0.14 and event b occurs with probability 0.56
A. Compute the probability that a does not occur or b does not occur or both
B. Compute the probability that either B occurs without A occurring or a and b both occur
Answer by ikleyn(52864) About Me  (Show Source):
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HINT.   Since the events  "a"  and  "b"  are mutually exclusive,  they can not occur both simultaneously. 


    Therefore,  the answer to  (a)  is    P = 1 - P(A) - P(B) = 1 - 0.14 - 0.56 = 0.3.


    The answer to  (b)  is    P = P(B) = 0.56.