According to the timetable, a lecture begins at 8:15. The arrival time of professor Durrick in the venue is uniformly distributed between 8:13 and 8:20, whereas the arrival time of student Slugish is...

According to the timetable, a lecture begins at 8:15. The arrival time of professor Durrick in the venue is uniformly distributed between 8:13 and 8:20, whereas the arrival time of student Slugish is uniformly distributed between 8:05 to 8:30.

What is the probability that Sluggish arrives after Durrick in the venue?