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Exercise 2.7.22. Let (1, F1, P1) be Lebesgue measure on 0, 1). Con- sider a second probability triple, (12, F2, P2), defined as follows: 12 = {1, 2}, F2 consists of all subsets of $2, and P2 is defined by P2 {1 } = 3, P2{2} = 2, and additivety. Let (0, F, P) be the product measure of (31, F1, P1) and (12, F2, P2). (a) Express each of , F, and P as explicitly as possible. (b) Find a set A E F such that P(A) =