# Question: When two balanced dice are rolled 36 equally likely outcomes

When two balanced dice are rolled, 36 equally likely outcomes are possible, as depicted in Fig. 5.1 on page 187. Let Y denote the sum of the dice.

a. What are the possible values of the random variable Y?

b. Use random-variable notation to represent the event that the sum of the dice is 7.

c. Find P(Y = 7).

d. Find the probability distribution of Y. Leave your probabilities in fraction form.

e. Construct a probability histogram for Y.

a. What are the possible values of the random variable Y?

b. Use random-variable notation to represent the event that the sum of the dice is 7.

c. Find P(Y = 7).

d. Find the probability distribution of Y. Leave your probabilities in fraction form.

e. Construct a probability histogram for Y.

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