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? Events A and B are independent because P(B|A) = P(A). Events A and B are independent because P(A|B) ≠ P(A). Events A and B are not independent because P(B|A) ≠ P(B). Events A and B are not independent because P(A|B) = P(A). NextReset
Accepted Solution
A:
Answer:Right option is C. Events A and B are not independent because P(B|A) ≠ P(B).Step-by-step explanation:We have given,Probability of contamination in batch 1 of a drug (event A) ,P(A) = 0.16Probability of contamination in batch 2 of the drug (event B), P(B) = 0.09Also,Probability of contamination in batch 2, given that there was a contamination in batch 1, P(B/A) = 0.12Since P(B/A) ≠ P(B), Therefore events A and B are not independent events.Right option is C. Events A and B are not independent because P(B|A) ≠ P(B).