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suppose you live in middle town, your mom lives in downtown while your girl friend lives in uptown. You take subway to have dinner with either your mom or your girl friend every night. You always the first train that arrives at the station. why do you end up with have dinner with your girl friend 90% of the times? assume the uptown and downtown train run at the same intervals.
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Quant

Interviewed at Jane Street

4.4
Nov 23, 2010

suppose you live in middle town, your mom lives in downtown while your girl friend lives in uptown. You take subway to have dinner with either your mom or your girl friend every night. You always the first train that arrives at the station. why do you end up with have dinner with your girl friend 90% of the times? assume the uptown and downtown train run at the same intervals.

We are playing a game where we start at 0 and flip a coin until someone wins. Every heads that is flipped adds +1 to the number and every tails add -1. If the number reaches -10 I (the interviewer) wins and if it reaches 20 then you win. What is the probability I will win? I am thinking of a 10 digit number. The first digit is the number of 0s in the number, the 2nd is the number of 1s etc...What is the number?
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Trader

Interviewed at Jane Street

4.4
Dec 9, 2012

We are playing a game where we start at 0 and flip a coin until someone wins. Every heads that is flipped adds +1 to the number and every tails add -1. If the number reaches -10 I (the interviewer) wins and if it reaches 20 then you win. What is the probability I will win? I am thinking of a 10 digit number. The first digit is the number of 0s in the number, the 2nd is the number of 1s etc...What is the number?

How long would a tunnel from NYC to San Fran. would be if you dig it through the earth as short as possible? If you traveled directly on the surface? What is you confidence bound (length +/-)? You are waiting for a bus which it takes a round trip of 10 minutes to complete (starts again when it completes one tour). What is your expected waiting time if you arrive at a random time? (uniform from 0 to 10, so 5min). Then, an extension: There is an ice cream shop somewhere on the bus route. The bus driver flips a fair coin every time it passes by it and f "H", spends 10 minutes to eat ice cream and then continue the tour. What is your expected waiting time now? What is the coin is biased?
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Quantitative Trader

Interviewed at Jane Street

4.4
Mar 3, 2013

How long would a tunnel from NYC to San Fran. would be if you dig it through the earth as short as possible? If you traveled directly on the surface? What is you confidence bound (length +/-)? You are waiting for a bus which it takes a round trip of 10 minutes to complete (starts again when it completes one tour). What is your expected waiting time if you arrive at a random time? (uniform from 0 to 10, so 5min). Then, an extension: There is an ice cream shop somewhere on the bus route. The bus driver flips a fair coin every time it passes by it and f "H", spends 10 minutes to eat ice cream and then continue the tour. What is your expected waiting time now? What is the coin is biased?

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