A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 198 like rock, 156 like country, and...

A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 198 like rock, 156 like country, and 112 like jazz. Moreover, 24 like rock and country, 20 like rock and jazz, 18 like country and jazz, and 6 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?