Suppose trains heading for destination A arrive at the station every 15 minutes, starting at 7 A.M., while trains heading for destination B arrive at the station every 15 minutes, starting at 7:05 A.M.

Suppose also that a passenger arrives at the station at a time uniformly distributed between 7 and 8 A.M., and then adventurously hops on the first train to arrive.

a. What is the probability this passenger ends up at destination B? Do NOT round your answer. (4th decimal place of answer = 3)