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Sunny has a green balanced six-sided die and a red balanced six-sided die. (a) If she rolls both dice once, find the probability distribution of

Sunny has a green balanced six-sided die and a red balanced six-sided die.

(a) If she rolls both dice once, find the probability distribution of the sum of the two dice.

(b) What is the expected value for the sum of the two dice? Explain your answer.

(c) Suppose she rolls the pair of dice ten times. What is the probability that Sunny rolls a sum of four at most two times?

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