# A board game requires players79 Board games and diceto roll a pair of balanced dice for each player's turn.Denote the outcomes by (die 1, die 2), such as5 on die 1 and a 3 on die 2.(5, 3) for aa. List the sample space of the 36 possible outcomes forthe two dice.b. Let A be the event that you roll doubles (that is, eachdie has the same outcome). List the outcomes in Aand find its probability.c. Let B be the event that the sum on the pair of dice is7. 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.

Question

Part D and E

Step 1

a. The sample space of the 36 possible outcomes for the two dice is,

Step 2

b. Let A be the event that you roll doubles. The possible outcomes for event A is,

Step 3

The probability of ...

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