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I have a standard 52 card deck. One by one, I draw cards from the deck and place them face up in front of you (without putting them back). At any point, you may stop me and say a color. If the next two cards I draw both have that color, you win. Otherwise, you lose. What is the optimal strategy?
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Quantitative Research Intern

Interviewed at Jane Street

4.4★
Oct 30, 2018

I have a standard 52 card deck. One by one, I draw cards from the deck and place them face up in front of you (without putting them back). At any point, you may stop me and say a color. If the next two cards I draw both have that color, you win. Otherwise, you lose. What is the optimal strategy?

Q: Suppose you want to calculate how long an escalator is. You have two times: the time it takes you to ascend the escalator while standing still, and the time it takes you to ascend the escalator while walking at a speed of x meters/second. Q: Some easy probability question on bounding the event of rain on a second day if it rained on the first. I'm sure there's someone else on here who gave a more detailed account. A follow-up required knowledge about union-bound if I recall correctly.
avatar

Quantitative Research Intern

Interviewed at Jane Street

4.4★
Nov 7, 2022

Q: Suppose you want to calculate how long an escalator is. You have two times: the time it takes you to ascend the escalator while standing still, and the time it takes you to ascend the escalator while walking at a speed of x meters/second. Q: Some easy probability question on bounding the event of rain on a second day if it rained on the first. I'm sure there's someone else on here who gave a more detailed account. A follow-up required knowledge about union-bound if I recall correctly.

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