Question 25
During the same three-hour interval, two people arrived at a gym at random times. Each spent $1.5$ hours working out there. What is the probability that they met?
Assume independent arrival times, each uniformly distributed across the three-hour interval. Each full 1.5-hour visit may extend beyond the end of that arrival interval.
Assume independent arrival times, each uniformly distributed across the three-hour interval. Each full 1.5-hour visit may extend beyond the end of that arrival interval.