The computers of six faculty members in a certain department are to be replaced. Two of the faculty members have selected laptop machines and the other four have chosen desktop machines. Suppose that only two of the setups can be done on a particular day, and the two computers to be set up are randomly selected from the six (implying 15 equally likely outcomes; if the computers are numbered 1, 2, ..., 6, then one outcome consists of computers 1 and 2, another consists of computers 1 and 3, and so on). (a) What is the probability that both selected setups are for laptop computers? (Round your answer to three decimal places.) (b) What is the probability that both selected setups are desktop machines? (c) What is the probability that at least one selected setup is for a desktop computer? (Round your answer to three decimal places.) (d) What is the probability that at least one computer of each type is chosen for setup? (Round your answer to three decimal places.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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The computers of six faculty members in a certain department are to be replaced. Two of the faculty members have selected
laptop machines and the other four have chosen desktop machines. Suppose that only two of the setups can be done on a
particular day, and the two computers to be set up are randomly selected from the six (implying 15 equally likely outcomes; if the
computers are numbered 1, 2, ..., 6, then one outcome consists of computers 1 and 2, another consists of computers 1 and 3,
and so on).
(a) What is the probability that both selected setups are for laptop computers? (Round your answer to three decimal places.)
(b) What is the probability that both selected setups are desktop machines?
(c) What is the probability that at least one selected setup is for a desktop computer? (Round your answer to three decimal
places.)
(d) What is the probability that at least one computer of each type is chosen for setup? (Round your answer to three decimal
places.)
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Submit Answer
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Transcribed Image Text:The computers of six faculty members in a certain department are to be replaced. Two of the faculty members have selected laptop machines and the other four have chosen desktop machines. Suppose that only two of the setups can be done on a particular day, and the two computers to be set up are randomly selected from the six (implying 15 equally likely outcomes; if the computers are numbered 1, 2, ..., 6, then one outcome consists of computers 1 and 2, another consists of computers 1 and 3, and so on). (a) What is the probability that both selected setups are for laptop computers? (Round your answer to three decimal places.) (b) What is the probability that both selected setups are desktop machines? (c) What is the probability that at least one selected setup is for a desktop computer? (Round your answer to three decimal places.) (d) What is the probability that at least one computer of each type is chosen for setup? (Round your answer to three decimal places.) Need Help? Submit Answer Read It
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