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P(A) = 0.50, P(B) = 0.40, and P(A and B) = 0.15.What is P(A or B)?A.0.65B.0.75C.0.90D.0.55

Question

P(A) = 0.50, P(B) = 0.40, and P(A and B) = 0.15.What is P(A or B)?A.0.65B.0.75C.0.90D.0.55

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Solution

The probability of either event A or event B occurring, denoted as P(A or B), can be calculated using the formula:

P(A or B) = P(A) + P(B) - P(A and B)

Given that P(A) = 0.50, P(B) = 0.40, and P(A and B) = 0.15, we can substitute these values into the formula:

P(A or B) = 0.50 + 0.40 - 0.15 = 0.75

So, the answer is B. 0.75.

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