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? 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).

Answer 1

The correct answer is C

Explanation:

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

Answer 2

Right option is C. Events A and B are not independent because P(B|A) ≠ P(B).

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).