Graduate Interview Questions

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Q: Assume you want to get from city A to city B. There are three roads you can choose uniformly from. However only one road leads actually to city B, which takes 2 hours. The other two roads end up in city A again and both are 1 hour long. Given that you don't know which road you took, If you return to city A (i.e. you have to choose uniformly a road again), what is the expected time to get to city B?
Oct 1, 2015

Q: Assume you want to get from city A to city B. There are three roads you can choose uniformly from. However only one road leads actually to city B, which takes 2 hours. The other two roads end up in city A again and both are 1 hour long. Given that you don't know which road you took, If you return to city A (i.e. you have to choose uniformly a road again), what is the expected time to get to city B?

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