question 6

On the set S = {0, 1, 2, 3, 4, 5, 6, 7, 8,9}, find a probability function such that P( {0, 1, 2}) =- 12 P( {3, 5}) = 12 P({0, 1, 4, 6}) = P(18}) = 0 and the events {0, 1, 4, 6} and {4, 6, 7, 8, 9} are independent. This function is not unique, you just need to find one that satisfies these conditions. P({}) = P({1}) = 1 P({2}) = P(13}) = 1 P(14}) = 1 P({5}) = P({6}) = 1 P((7}) = 1 P(18}) = 1 P(19}) = 1