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?
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