11. The probabilities of the events A and B are 0.20 and 0.30, respectively. The probability that both A and B occur is 0.15. a. What is the probability of either A or B occurring? b. What is the probability of neither A nor B occurring?
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Step 1
We can use the formula for the probability of the union of two events: P(A ∪ B) = P(A) + P(B) - P(A ∩ B) We are given P(A) = 0.20, P(B) = 0.30, and P(A ∩ B) = 0.15. Plugging these values into the formula, we get: P(A ∪ B) = 0.20 + 0.30 - 0.15 Now, we can Show more…
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