1.a) Nine men and two women are semifinalists in a lottery. From this group, seven finalists are to be selected by a drawing. What is the probability that all seven finalists will be men? (Enter your probability as a fraction.)
b) retailer purchases 240 of a new brand of DVD player, of which 4 are defective. The purchase agreement says that if he tests 5 chosen at random and finds 1 or more defective, he receives all the DVD players free of charge. What is the probability that he will not have to pay for the DVD players? (Round your answer to three decimal places.)
c) An ordinary six-sided die is tossed. What is the probability of getting a number divisible by 3 or an odd number? (Enter your probability as a fraction.)
d) A task force studying age discrimination wants to establish a subcommittee. If the subcommittee is to consist of 11 members chosen at random from a group of 24 men and 15 women, find the probability that the subcommittee consists of the following?
i. 4 men and 7 women (Round your answer to two decimal
places.)
ii. all women (Round your answer to seven decimal places.)
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