A committee is to consist of a chair, two hagglers, and three do-nothings. The committee is formed by choosing randomly from a pool of 8 people and assigning them to the various "jobs." (a) How many different committees are possible? HINT [See Example 5.] 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.) (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.)
A committee is to consist of a chair, two hagglers, and three do-nothings. The committee is formed by choosing randomly from a pool of 8 people and assigning them to the various "jobs." (a) How many different committees are possible? HINT [See Example 5.] 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.) (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.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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![A committee is to consist of a chair, two hagglers, and three do-nothings. The committee is formed by choosing randomly
from a pool of 8 people and assigning them to the various "jobs."
(a) How many different committees are possible? HINT [See Example 5.]
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.)
(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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1cb22b42-8fdd-4809-96df-75f61a85b32c%2F0bcea350-5f58-4864-9835-ac3eecc15d60%2Fxj15bms_processed.png&w=3840&q=75)
Transcribed Image Text:A committee is to consist of a chair, two hagglers, and three do-nothings. The committee is formed by choosing randomly
from a pool of 8 people and assigning them to the various "jobs."
(a) How many different committees are possible? HINT [See Example 5.]
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.)
(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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