A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 207 like rock, 163 like country, and 119 like jazz. Moreover, 31 like rock and country, 27 like rock and jazz, 23 like country and jazz, and 11 like all three types of music. What is the probability that a randomly selected student likes at least two of the three types of music?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 207 like rock, 163 like country, and 119 like jazz. Moreover, 31 like rock and country, 27 like rock and jazz, 23 like country and jazz, and 11 like all three types of music. What is the probability that a randomly selected student likes at least two of the three types of music?
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