The probability of Samantha scoring an A on a geology test (event A) is 0.46, and the probability of Judith scoring an A on the same test (event B) is 0.54. The probability of both Samantha and Judith scoring an A is 0.2484. Given this information, which statement is true?

A. Events A and B are independent because P (A and B) = P (A) * P (B).

B. Events Events A and B are dependent because P (A and B) = P (A) * P (B).

C. A and B are independent because P (B|A) ≠ P (B).

D. Events A and B are dependent because P (A|B) ≠ P (B).

Question

Matteo Jenkins

Mathematics

17 September, 11:41

The probability of Samantha scoring an A on a geology test (event A) is 0.46, and the probability of Judith scoring an A on the same test (event B) is 0.54. The probability of both Samantha and Judith scoring an A is 0.2484. Given this information, which statement is true?

A. Events A and B are independent because P (A and B) = P (A) * P (B).

B. Events Events A and B are dependent because P (A and B) = P (A) * P (B).

C. A and B are independent because P (B|A) ≠ P (B).

D. Events A and B are dependent because P (A|B) ≠ P (B).

+2

Answers (1)

Know the Answer?

Chaim Roman · Answer 1

It may be observed from the given that the probability of the both Samantha and Judith scoring an A is the product of the individual probabilities of Samantha and Judith. This means that the events are independent. Thus, the answer is letter A.