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Quantitative Operations Associate Interview Questions

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2,051 quantitative operations associate interview questions shared by candidates

You have a standard deck of 52 cards. I draw a card and tell you I drew hearts. Now you draw a card from the cards that are remaining. What is the probability that you will also draw a heart? Again, you have a standard deck of 52 cards. I draw 13 cards and tell you I drew exactly 5 hearts. Now you draw 13 cards from the cards that are remaining. What is the expected number of hearts you will draw?
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Quantitative Trader

Interviewed at Jane Street

4.4★
Oct 12, 2016

You have a standard deck of 52 cards. I draw a card and tell you I drew hearts. Now you draw a card from the cards that are remaining. What is the probability that you will also draw a heart? Again, you have a standard deck of 52 cards. I draw 13 cards and tell you I drew exactly 5 hearts. Now you draw 13 cards from the cards that are remaining. What is the expected number of hearts you will draw?

3. There are 30 blue and 30 red balls and two urns. You play a game. Your opponent has the right to arrange the balls in the two urns as he pleases, without telling you what he did. You then must draw a ball from an urn of your choice. You win $10 if you draw a blue ball, otherwise you get $0. How much would you be willing to pay to play this game?
avatar

Quantitative Analyst

Interviewed at Jane Street

4.4★
Feb 1, 2011

3. There are 30 blue and 30 red balls and two urns. You play a game. Your opponent has the right to arrange the balls in the two urns as he pleases, without telling you what he did. You then must draw a ball from an urn of your choice. You win $10 if you draw a blue ball, otherwise you get $0. How much would you be willing to pay to play this game?

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