If P(A) = 0.60 and P(B) = 0.20, then A and B are independent events if _____.A.P(A and B) = 0.12B.P(A or B) = 0.12C.P(A and B) = 0D.P(A or B) = 0.80
Question
If P(A) = 0.60 and P(B) = 0.20, then A and B are independent events if _____.A.P(A and B) = 0.12B.P(A or B) = 0.12C.P(A and B) = 0D.P(A or B) = 0.80
Solution
Two events A and B are independent if the probability of both events occurring is the product of the probabilities of each event occurring. In mathematical terms, this is expressed as P(A and B) = P(A) * P(B).
Given that P(A) = 0.60 and P(B) = 0.20, if A and B are independent events, then P(A and B) should be 0.60 * 0.20 = 0.12.
Therefore, A and B are independent events if P(A and B) = 0.12. So, the correct answer is A. P(A and B) = 0.12.
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