MISSING VALUE Interview Questions

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You have a chest of 8 drawers. With probability 1/2, you put a letter in one of the drawers. With probability 1/2, you don't put a letter in any drawer. I open the first 7 drawers, all are empty. What is the probability there is a letter in the 8th drawer?
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Quantitative Developer

Interviewed at JPMorganChase

3.9
May 1, 2012

You have a chest of 8 drawers. With probability 1/2, you put a letter in one of the drawers. With probability 1/2, you don't put a letter in any drawer. I open the first 7 drawers, all are empty. What is the probability there is a letter in the 8th drawer?

There are an unknown amount of people on a bus. After the first stop, three-quarters of them get off and 7 get on. This happens again a two more stops. After this process, what is the minimum amount of possible people that could be on the bus?
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Quantitative Trader Intern

Interviewed at Jane Street

4.4
Nov 3, 2016

There are an unknown amount of people on a bus. After the first stop, three-quarters of them get off and 7 get on. This happens again a two more stops. After this process, what is the minimum amount of possible people that could be on the bus?

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