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A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 206 like rock, 158 like country, and 119 like jazz. Moreover, 26 like rock and country, 27 like rock and jazz, 19 like country and jazz, and 7 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) 0.2920 B) 0.1160 C) 0.0920 D) 0.0140 E) 0.4000

A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 206 like rock, 158 like country, and 119 like jazz. Moreover, 26 like rock and country, 27 like rock and jazz, 19 like country and jazz, and 7 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) 0.2920 B) 0.1160 C) 0.0920 D) 0.0140 E) 0.4000

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 48E
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A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 206 like rock, 158 like country, and 119 like jazz. Moreover, 26 like rock and country, 27 like rock and jazz, 19 like country and jazz, and 7 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) 0.2920 B) 0.1160 C) 0.0920 D) 0.0140 E) 0.4000
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