You roll a pair of fair six-sided dice. The sample space of 36 possible outcomes is shown below. Based on this information, answer the following questions.

What is P(A), the probability that the first die is a 5?

What is P(B), the probability that the second die is a 3?

What is P(A and B), the probability that the first die is a 5 and the second die is a 3?

What is P(BA), the conditional probability that the second die is a 3 given that the first die is a 5?

Is P(BA) = P(B)? Are the events A and B independent?

Choose all answers that apply:

A. Yes, P(B/A) = P(B).

B. No, P(B / A ≠ P(B)

C. Yes, events A and B are independent events

D. No, events A and B are not independent events