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 PB
A), the conditional probability that the second die is a 3 given that the first die is a 5?
Is P(B A) = P(B)? Are the events A and B independent?
Choose all answers that apply: