a. P(A ∩ B) = P(A) * P(B) = 0.40 * 0.50= 0.20
b. P((A U B)c) = 1 - P(A U B)
Since A and B are independent, P(A U B) = P(A) + P(B) - P(A ∩ B)
= 0.40 + 0.50 - 0.20 = 0.70
Therefore, P((A U B)c) = 1 - 0.70 = 0.30
c. P(A | B) = P(A ∩ B) / P(B)
= 0.20 / 0.50 = 0.40
Let A and B be independent events with P(A) = 0.40 and P(B) = 0.50.
a. Calculate P(A ∩ B). (Round your answer to 2 decimal places.)
b. Calculate P((A U B)c). (Round your answer to 2 decimal places.)
c. Calculate P(A | B). (Round your answer to 2 decimal places.)
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