Suppose that Eitan rolls a fair six-sided die and a fair four-sided die simultaneously. Let A be the event that the sum of the dice is 8 and B be the event that Eitan rolls doubles. Using the sample space of possible outcomes below, answer each of the following questions. What is P(A)P(A)P, left parenthesis, A, right parenthesis, the probability that the sum of the dice is 8? What is P(B)P(B)P, left parenthesis, B, right parenthesis, the probability that Eitan rolls doubles? What is P(A)P(A)P, left parenthesis, A, right parenthesis, the probability that the sum of the dice is 8?
What is P(B)P(B)P, left parenthesis, B, right parenthesis, the probability that Eitan rolls doubles?
What is P(A\text{ and }B)P(A and B)P, left parenthesis, A, start text, space, a, n, d, space, end text, B, right parenthesis, the probability that the sum of the dice is 888 and Eitan rolls doubles?
Are events A and B independent?