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College Algebra & Trigonometry, 2018a

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340 CHAPTER 7. COMBINATORICS<br />

34) A barrel of 60 apples contains 4 rotten apples. If 3 apples are selected at<br />

random, what is the probability that 1 or more of the apples is rotten?<br />

35) A shelf at the home improvement store contains 80 light bulbs of which 6<br />

are defective. If a customer chooses 2 light bulbs at random, what is the probability<br />

that:<br />

a) both are defective?<br />

b) at least one is defective?<br />

36) Some computer components are shipped in boxes of 24. Before they are<br />

shipped, the quality control inspector randomly chooses 8 components from each<br />

box. If any of the 8 components selected are defective, the box is not shipped.<br />

What is the probability that a lot containing exactly 2 defective components would<br />

be shipped anyway?<br />

37) A business is preparing to choose 12 people to go on a business trip from<br />

a group of 100 employees, 60 of whom are women and 40 of whom are men.<br />

Suppose that Ed and Mary are both employees and that the 12 people for the trip<br />

will be chosen randomly.<br />

a) What is the probability that Ed will be chosen?<br />

b) What is the probability that Ed and Mary will both be chosen?<br />

c) If an equal number of men and women are to go on the trip, what is<br />

the probability that Ed will be chosen?<br />

d) If an equal number of men and women are to go on the trip, what is<br />

the probability that Ed and Mary will both be chosen?

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