2. Suppose we roll two six sided die independently:

Dicel: 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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