A board game requires players 79 Board games and dice to roll a pair of balanced dice for each player's turn. Denote the outcomes by (die 1, die 2), such as 5 on die 1 and a 3 on die 2. (5, 3) for a a. List the sample space of the 36 possible outcomes for the two dice. b. Let A be the event that you roll doubles (that is, each die has the same outcome). List the outcomes in A and find its probability. c. Let B be the event that the sum on the pair of dice is 7. Find P(B). d. Find the probability of (i) A and B, (ii) A or B, and (ii) B given A. e. Are events A and B independent, disjoint, or neither? Explain.

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