# Waiting for Friends Simulation

- Author:
- Steve Phelps

Two friends who have unpredictable lunch hours agree to meet for lunch at their favorite restaurant whenever possible. Neither wishes to eat alone and each dislikes waiting for the other, so they agree that each will arrive at a random time between noon and 1 pm, and each will wait for the other for 15 minutes or until 1:00. How likely is it that the friends will meet for lunch on a given day?
Each dot in the dot plot below represents the number of times out of 100 simulated lunch meetings that the two friends actually met. There are 100 trials represented in the simulation.

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