If P(A) = 0.4, P(B | A) = 0.35, P(A ∪ B) = 0.69, then P(B) =
A) 0.14.
B) 0.43.
C) 0.75.
D) 0.59.

Name: If P(A) = 0.4, P(B | A) = 0.35, P(A ∪ B) = 0.69, then P(B) = A) 0.14. B) 0.43. C) 0.75. D) 0.59.
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Quizplus · Accepted Answer

P(B) can be found using the formula P(A ∪ B) = P(A) + P(B) - P(A ∩ B). Given P(A ∪ B) = 0.69, P(A) = 0.4, and P(A ∩ B) = P(A)P(B | A) = 0.4 * 0.35 = 0.14, we can solve for P(B) = 0.69 - 0.4 + 0.14 = 0.43.