The Date Problem
You and a friend arrange to meet between 12:00 and 1:00 in the afternoon. After a week neither of you remembers the exact meeting time. As a result, it is possible for you arrive at random between 12:00 and 1:00 and waits exactly 15 minutes for your friend to arrive. After 15 minutes, each of you leaves if the other person has not arrived. What is the probability that the two of you will meet? Click Play and observe what happens.
This applet is the illustration of the problem above. The green points represent that the two friends will meet while the red points represent that they will not meet. Explore! 1.) Click Pause and see the exact time the two friends arrive. 2.) Refresh the browser to delete the point traces. 3.) Click Pause and drag the sliders to customize the time arrival. Created with GeoGebra by Guillermo Bautista