282.Mickey and Minnie
★★★geometric probabilitySIG
Mickey and Minnie each arrive at a cafe at an independent uniformly random time between 9:00 and 10:00. Mickey waits 10 minutes for Minnie before leaving; Minnie waits 30 minutes for Mickey before leaving. What is the probability that they meet?
Sign in to submit an answer and track it toward your stats.
Sign inHint
Plot the two arrival times in a square. The meeting region is an asymmetric band around the diagonal, so the two leftover corners are different sizes.
Want timed drills, mental math, and a market-making game too? Try the full practice suite →