Events A and B are mutually exclusive. Suppose event A occurs with probability 0.58 and event B occurs with probability 0.23. Compute the following. (If necessary, consult a list of formulas.) (a) Compute the probability that B occurs or A does not occur (or both). (b) Compute the probability that either A occurs without B occurring or A and B both occur.
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Since A and B are mutually exclusive, they cannot both occur at the same time. So, we can find the probability of B occurring and the probability of A not occurring, and then add them together. The probability of A not occurring is 1 - P(A) = 1 - 0.58 = 0.42. Show more…
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