Jane Street–styleTraderJunior TraderQuestion #637

Imagine an infinite chessboard. If a knight starts from a particular square, in how many different squares can it possibly end up after 10 moves? You do not need to calculate an exact number, but instead provide a 95% confidence interval for the number of possible ending squares. Pen and paper allowed.

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State the assumptions, try a simple case, then work toward a general solution. Check the result and explain how it changes if an assumption changes.

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