Question

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).

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. 

Answer 2

Answer: A.) Events A and B are independent because P(A and B) = P(A) × P(B)

Step-by-step explanation: plato only