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Rework problem 9 from section 2.4 of your text.Assume that 9

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Rework problem 9 from section 2.4 of your text.Assume that 9 people,including the husband and wife pair,apply for 6 sales positions.People are hired at random.
(1) What is the probability that both the husband and wife are hired?
(2) What is the probability that one is hired and one is not?
这种题目其实就跟“袋子里9个球,2黑7白,摸出6个球问有2个黑球的概率”是一个模子.
(1) 1 - (7/9)×(6/8)×(5/7) = 1 - 5/12 = 7/12
(2) 1 - (2/9)×(7/8)×(6/7) - (7/9)×(2/8)×(6/7) - (7/9)×(6/8)×(2/7) = 1 - (1/2) = 1/2