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11,683 trader trainee interview questions shared by candidates

I have a cube made up of 27 smaller cubes. I paint the outside of the cube red! I take a random cube and roll it. What is the probability no red faces are showing? Given that I roll no red, what is the probability that the cube is the center cube, with no red faces? I roll two ten sided die. Which is more likely, that I roll two odd numbers, or two even numbers?
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Assistant Trader

Interviewed at Jane Street

4.4★
Mar 30, 2015

I have a cube made up of 27 smaller cubes. I paint the outside of the cube red! I take a random cube and roll it. What is the probability no red faces are showing? Given that I roll no red, what is the probability that the cube is the center cube, with no red faces? I roll two ten sided die. Which is more likely, that I roll two odd numbers, or two even numbers?

You have a dice and are told when you roll it you will receive the amount rolled, what is the expected value? What if you have the option to roll again, what is the expected value? What if you have the option to roll a third time, what is the expected value.
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Assistant Trader

Interviewed at Jane Street

4.4★
Dec 13, 2013

You have a dice and are told when you roll it you will receive the amount rolled, what is the expected value? What if you have the option to roll again, what is the expected value? What if you have the option to roll a third time, what is the expected value.

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