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?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section6.7: Probability And Odds
Problem 2C
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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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