# probability watch

1. what is the probability of waiting longer than 15 mins when you arrive randomly at a bus stop at which the bus arrives promptly on the hour and on the half hour
2. Think of the different scenarios, starting from 14:00 all the way to 15:00. So what happens at 14:01, 14:02, 14:03....
3. (Original post by megu1234)
what is the probability of waiting longer than 15 mins when you arrive randomly at a bus stop at which the bus arrives promptly on the hour and on the half hour
If the inter arrival time is a constant 30 minute, the expected waiting time for a uniformly randomly arriving passenger is 15 minutes. Therefore the chance of waiting longer than 15 minutes is 50%.

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Updated: February 14, 2018
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