If P(A) = 0.70 and P(B) = 0.20, then A and B are independent events if _____.A.P(A or B) = 0.14B.P(A and B) = 0C.P(A and B) = 0.14D.P(A or B) = 0.90SUBMITarrow_backPREVIOUS
Question
If P(A) = 0.70 and P(B) = 0.20, then A and B are independent events if _____.A.P(A or B) = 0.14B.P(A and B) = 0C.P(A and B) = 0.14D.P(A or B) = 0.90SUBMITarrow_backPREVIOUS
Solution
Two events A and B are independent if the probability of their intersection, P(A and B), is equal to the product of their individual probabilities, P(A)P(B).
Given that P(A) = 0.70 and P(B) = 0.20, if A and B are independent, then P(A and B) should be 0.70 * 0.20 = 0.14.
So, the correct answer is C. P(A and B) = 0.14.
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