A First Course in Probability (10th Edition)
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ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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![7. [2/4 Points]
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A committee is to consist of a chair, four hagglers, and five do-nothings. The committee is formed by choosing randomly from a pool of
12 people and assigning them to the various "jobs."
(a) How many different committees are possible? HINT [See Example 5.]
83160
committees
(b) Norman is eager to be the chair of the committee. What is the probability that he will get his wish? (Round your answer to two
decimal places.)
1/12
(c) Norman's girlfriend Norma is less ambitious and would be happy to hold any position on the committee provided that Norman is
also selected as a committee member. What is the probability that she will get her wish and serve on the committee? (Round your
answer to two decimal places.)
(d) Norma does not get along with Oona (who is also in the pool of prospective members) and would be most unhappy if Oona were
to chair the committee. Find the probability that all Norma's wishes will be fulfilled: She and Norman are on the committee, and it
is not chaired by Oona. (Round your answer to two decimal places.)
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Transcribed Image Text:7. [2/4 Points]
DETAILS
PREVIOUS ANSWERS
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
A committee is to consist of a chair, four hagglers, and five do-nothings. The committee is formed by choosing randomly from a pool of
12 people and assigning them to the various "jobs."
(a) How many different committees are possible? HINT [See Example 5.]
83160
committees
(b) Norman is eager to be the chair of the committee. What is the probability that he will get his wish? (Round your answer to two
decimal places.)
1/12
(c) Norman's girlfriend Norma is less ambitious and would be happy to hold any position on the committee provided that Norman is
also selected as a committee member. What is the probability that she will get her wish and serve on the committee? (Round your
answer to two decimal places.)
(d) Norma does not get along with Oona (who is also in the pool of prospective members) and would be most unhappy if Oona were
to chair the committee. Find the probability that all Norma's wishes will be fulfilled: She and Norman are on the committee, and it
is not chaired by Oona. (Round your answer to two decimal places.)
Need Help?
Read It
Submit Answer
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