A campus radio station surveyed 500 students to determine the types of music they like. the survey revealed that 207 like rock, 172 like country, and 126 like jazz. moreover, 33 like rock and country, 27 like rock and jazz, 32 like country and jazz, and 13 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?
