A campus radio station surveyed 287 students to determine the types of music they like. The survey revealed that 113 like rock only, 145 like country only and 17 like both of these types of music. What is the probability that a randomly selected student likes country but not rock?
a) 0.0592 b) 0.5052 c) 0.5370 d) 0.8050 e) 0.5645 f) None of the above.