three buses, bus A, B, and C come to a bus stop every hour. The time at which each bus arrives at the stop is distributed as a uniform random variable, i.e., TA,TB,TC ∼ Unif[0,1] hours. The arrival times are independent, and the time or order at which they arrive is not known to you. You arrive at the bus stop at 12am. What is the expected time you have to wait until the first bus arrives? Hint: calculate the probability that no bus has arrived at time t
I dont know how to get started. Can someone give me another hint?