Based on a survey conducted by students in the Recreational Management degree program, 65% of students at the university own a mountain bike, 25%

own a road bike, and 6% own both a mountain bike and a road bike.

a. What is the probability that a randomly selected student at this university has a mountain bike but not a road bike?

b. What is the probability that a randomly selected student at this university has a road bike but not a mountain bike?

c. What is the probability that a randomly selected student at this university has neither a road bike nor a mountain bike?

d. Given that a randomly selected student at this university has a road bike, what is the probability he or she also has a mountain bike?