Question

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?

Answer 1

The flow of question can be seen by drawing a simple diagram.
For event B occurring after event A occurred, the probability (follow the arrows) is 0.16x0.09=0.0144

Answer 2

Events A and B are not independent because P(B|A) ≠ P(B).