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You have 100 white balls and your opponent has 100 black balls. You each can put as many balls as you want into a common pot. A third party randomly draws from the common pot, and who ever’s ball was drawn wins the amount of money equal to the number of balls they have left over. Assuming you know your opponent will put in 99 balls, how many should you put in?
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Internship

Interviewed at Jane Street

4.4
Feb 2, 2020

You have 100 white balls and your opponent has 100 black balls. You each can put as many balls as you want into a common pot. A third party randomly draws from the common pot, and who ever’s ball was drawn wins the amount of money equal to the number of balls they have left over. Assuming you know your opponent will put in 99 balls, how many should you put in?

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