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Walk in the Park

Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.

 

Puzzle ID:#21639
Fun:*** (2.47)
Difficulty:*** (2.7)
Category:Probability
Submitted By:Dedrik**
Corrected By:MarcM1098

 

 

 



Alice and Bob agree to meet in the park. They agree to each show up some random time between 12:00 PM and 1:00 PM. Wait 20 minutes for the other person, or until one o'clock, whichever comes first.

Assuming they stick to their word, what is the probability that they will meet?


Hint

They are equally likely to show up at any time.
However their probability of meeting will change depending on the time.
Try looking at it through only one person's perspective.

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