The probability of contamination in batch 1 of a drug (event A) is 0.16, and the probability of contamination in batch 2 of the drug (event B) is 0.09. The probability of contamination in batch 2, given that there was a contamination in batch 1, is 0.12. Given this information, which statement is true?
A.Events A and B are independent because P(B|A) = P(A).
B.Events A and B are independent because P(A|B) ≠ P(A).
C.Events A and B are not independent because P(B|A) ≠ P(B).
D.Events A and B are not independent because P(A|B) = P(A).
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There are at least three ways to define independence:
If one of the following conditions is true, A and B are independent.
Also, the contrapositive is equivalent, i.e.
if one of the above conditions is not true, then A and B are not independent.
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