You and a friend have arranged to meet at a popular downtown mall between 3 p.m. and 4 p.m. one afternoon. However, you neglected to specify a time within that one-hour window. Therefore, each of you will be arriving at randomly selected times between 3 p.m. and 4 p.m. Once each of you arrives at the mall, you will be there for exactly 15 minutes. When the 15 minutes are up, you leave.
During the hour, there may or may not be an overlap between your and your friend’s visits. At some point, how many of you are present will reach a maximum number for the hour. This