MISSING VALUE Interview Questions

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You and a friend are betting on individual games of the World series. For each game, if your team wins, you win a certain (positive) amount of money, and if your team loses, you lose that amount. You and your friend create a betting scheme such that you will win 1000 dollars if your team wins and lose 1000 dollars if your team loses, regardless of the game score (it could be 4-3, 2-4, etc.). How much do you bet on the first game?
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Trader

Interviewed at Jane Street

4.4
Jan 20, 2012

You and a friend are betting on individual games of the World series. For each game, if your team wins, you win a certain (positive) amount of money, and if your team loses, you lose that amount. You and your friend create a betting scheme such that you will win 1000 dollars if your team wins and lose 1000 dollars if your team loses, regardless of the game score (it could be 4-3, 2-4, etc.). How much do you bet on the first game?

Robot wakes up every morning and does one of the following things with equal (1/4) probability: 1) self-destroys; 2) does nothing; 3) clones himself (so you have 2 robots); 4) clones himself two times (so you have 3 robots). If you have one robot at the start of the first day, what is the probability that, eventually, you will have no robots?
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Quantitative Researcher

Interviewed at Jane Street

4.4
Jul 23, 2012

Robot wakes up every morning and does one of the following things with equal (1/4) probability: 1) self-destroys; 2) does nothing; 3) clones himself (so you have 2 robots); 4) clones himself two times (so you have 3 robots). If you have one robot at the start of the first day, what is the probability that, eventually, you will have no robots?

there is a grey cube 3x3x3 was colored into red (all of its edges) . Next it was splitted into 1x1x1 cubes. 1 of these small cubes was chosen uniformly and uniformly thrown on a table. Find the P of "You can't see any red edges on this small cube"
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Intern

Interviewed at Jane Street

4.4
Dec 14, 2016

there is a grey cube 3x3x3 was colored into red (all of its edges) . Next it was splitted into 1x1x1 cubes. 1 of these small cubes was chosen uniformly and uniformly thrown on a table. Find the P of "You can't see any red edges on this small cube"

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