Problem 8 In a survey of 270 college students, it is found that 64 like Brussels sprouts, 94 like broccoli, 58 like cauliflower, 26 like both Brussels sprouts and broccoli, 28 like both brussels sprouts and cauliflower, 22 like both broccoli and cauliflower, and 14 like all three vegetables. What is the probability that a randomly selected student, out of 270, does not like any of these vegetables?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Problem 8 In a survey of 270 college students, it is found that 64 like Brussels sprouts, 94 like
broccoli, 58 like cauliflower, 26 like both Brussels sprouts and broccoli, 28 like both brussels sprouts
and cauliflower, 22 like both broccoli and cauliflower, and 14 like all three vegetables. What is the
probability that a randomly selected student, out of 270, does not like any of these vegetables?
Transcribed Image Text:Problem 8 In a survey of 270 college students, it is found that 64 like Brussels sprouts, 94 like broccoli, 58 like cauliflower, 26 like both Brussels sprouts and broccoli, 28 like both brussels sprouts and cauliflower, 22 like both broccoli and cauliflower, and 14 like all three vegetables. What is the probability that a randomly selected student, out of 270, does not like any of these vegetables?
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