# Question: A board game requires players to roll a pair of

A board game requires players to roll a pair of balanced dice for each playerâ€™s turn. Denote the outcomes by (die 1, die 2), such as (5, 3) for a 5 on die 1 and a 3 on die 2.

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 (iii) B given A.

e. Are events A and B independent, disjoint, or neither? Explain.

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 (iii) B given A.

e. Are events A and B independent, disjoint, or neither? Explain.

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