4.33. A die is weighted to yield the following probability distribution: 4.34. Number 1 2 3...

 

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4.33. A die is weighted to yield the following probability distribution: 4.34. Number 1 2 3 4 5 6 Probability 0.2 0.1 0.1 0.3 0.1 0.2 Let A {1,2,3}, B = {2,3,5}, C= {2,4,6}. Find: (a) P(A), P(B), P(C) (b) P(A), P(B), P(C) (c) P(A|B), P(B|A) (d) P(A|C), P(C|A) (e) P(BC), P(C|B) In a country club, 65 percent of the members play tennis, 40 percent play golf, and 20 percent play both tennis and golf. A member is chosen at random. (a) Find the probability that he plays neither tennis nor golf. (b) If he plays tennis, find the probability that he plays golf. (c) If he plays golf, find the probability that he plays tennis. 4.33. A die is weighted to yield the following probability distribution: 4.34. Number 1 2 3 4 5 6 Probability 0.2 0.1 0.1 0.3 0.1 0.2 Let A {1,2,3}, B = {2,3,5}, C= {2,4,6}. Find: (a) P(A), P(B), P(C) (b) P(A), P(B), P(C) (c) P(A|B), P(B|A) (d) P(A|C), P(C|A) (e) P(BC), P(C|B) In a country club, 65 percent of the members play tennis, 40 percent play golf, and 20 percent play both tennis and golf. A member is chosen at random. (a) Find the probability that he plays neither tennis nor golf. (b) If he plays tennis, find the probability that he plays golf. (c) If he plays golf, find the probability that he plays tennis.