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).

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) =  0.16

Probability of contamination in batch 2 of the drug (event B), P(B) = 0.09

Also,

Probability of contamination in batch 2, given that there was a contamination in batch 1, P(B/A) = 0.12

Since 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).

95.03 is the answer. hope this !