5. In a survey conducted by the Athletics Department of a certain school, student-respondents were asked: "What is your favorite sport to watch?" Basketball and volleyball ranked number 1 and 2 in terms of preference. Assume that in a group of 10 students, seven prefer basketball and three prefer volleyball. A random sample of three of the students is selected. a. What is the probability that exactly two prefer basketball? b. What is the probability that the majority (either 2 or 3) prefer basketball?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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5.
In a survey conducted by the Athletics Department of a certain school, student-respondents were
asked: "What is your favorite sport to watch?" Basketball and volleyball ranked number 1 and 2
in terms of preference. Assume that in a group of 10 students, seven prefer basketball and three
prefer volleyball. A random sample of three of the students is selected.
a. What is the probability that exactly two prefer basketball?
b. What is the probability that the majority (either 2 or 3) prefer basketball?
Transcribed Image Text:5. In a survey conducted by the Athletics Department of a certain school, student-respondents were asked: "What is your favorite sport to watch?" Basketball and volleyball ranked number 1 and 2 in terms of preference. Assume that in a group of 10 students, seven prefer basketball and three prefer volleyball. A random sample of three of the students is selected. a. What is the probability that exactly two prefer basketball? b. What is the probability that the majority (either 2 or 3) prefer basketball?
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