Let P(A) = 0.6, P(B) = 0.5, and P((A ∪ B)^c) = 0.1. Calculate P(A | B). A) 0.20 B) 0.33 C) 0.40 D) Not enough information to calculate.

Name: Let P(A) = 0.6, P(B) = 0.5, and P((A ∪ B) c ) = 0.1. Calculate P(A | B). A) 0.20 B) 0.33 C) 0.40 D) Not enough information to calculate.
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P((A ∪ B)^c) = 0.1 implies P(A ∪ B) = 0.9. Using the formula P(A ∪ B) = P(A) + P(B) - P(A ∩ B), we find P(A ∩ B) = 0.2. Then, P(A | B) = P(A ∩ B) / P(B) = 0.2 / 0.5 = 0.4.