2. Suppose we roll two six sided die independently: Dice1: Fair dice. Dice2: Unfair, with probability 0.2 for landing 1, 0.4 for landing 5, and 0.1 for the rest of the 4 numbers. (a) What is the probability that at least one is a 5. (b) What is the probability that at least one is a 5 and that the two numbers that show are different. (c) What is the probability that at least one is a 5 and the sum of the two numbers is strictly greater 8.

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