According to the timetable, a lecture begins at \(8: 15 \mathrm{a} . \mathrm{m}\). The arrival time of Professor Wisdom in the venue is uniformly distributed between 8:13 and 8:20, whereas the arrival time of student Sluggish is uniformly distributed over the time interval from 8:05 to 8:30.

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