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Suppose there are n lily pads located on a unit circle, and a frog initially is sitting on one of them at time = 0. Every minute this frog will make a jump to the lily pad that is next to it, either to the left or to the right with probability = 1/2. Find the expected time in minutes for this frog to visit every lily pad on the unit circle.
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Quantitative Researcher

Interviewed at D. E. Shaw & Co. - Investment Firm

3.9
Nov 6, 2023

Suppose there are n lily pads located on a unit circle, and a frog initially is sitting on one of them at time = 0. Every minute this frog will make a jump to the lily pad that is next to it, either to the left or to the right with probability = 1/2. Find the expected time in minutes for this frog to visit every lily pad on the unit circle.

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