Trainee Trader Interview Questions

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If I have a 4x4x4 cube and i paint the outside of the cube, then i cut it into 64 1x1x1 cubes, 1) How many have at least one side painted? 2) If i pick one of the 64 cubes up and roll it, what is the probability that the top side is painted?
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Assistant Trader

Interviewed at Jane Street

4.4
Sep 28, 2011

If I have a 4x4x4 cube and i paint the outside of the cube, then i cut it into 64 1x1x1 cubes, 1) How many have at least one side painted? 2) If i pick one of the 64 cubes up and roll it, what is the probability that the top side is painted?

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