Quantitative Operations Associate Interview Questions

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Consider a random walk on a discrete grid of 11 points (0 through 10). Supposed you have equal probabilty of stepping up or down. If you reach either 10 or 0 you must stop. If you start at point 6, what is the probability that you arrive at 10 before you arrive at 0?
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Quantitative Analyst

Interviewed at Goldman Sachs

3.7
Oct 31, 2012

Consider a random walk on a discrete grid of 11 points (0 through 10). Supposed you have equal probabilty of stepping up or down. If you reach either 10 or 0 you must stop. If you start at point 6, what is the probability that you arrive at 10 before you arrive at 0?

2) A. 10 ropes, each one has one red end and one blue end. Each time, take out a red and a blue end, make them together. Repeat 10 times. The expectation of the number of loops. B. 10 ropes, no color. All the other remains the same.
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Quantitative Researcher Summer Intern

Interviewed at Jane Street

4.4
Apr 18, 2011

2) A. 10 ropes, each one has one red end and one blue end. Each time, take out a red and a blue end, make them together. Repeat 10 times. The expectation of the number of loops. B. 10 ropes, no color. All the other remains the same.

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