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Finding the expected length of paths that include k (randomly chosen) specific positions on a grid with obstacles. There are n checkpoints on a grid, and all other points are either obstacle or passable positions. A user chooses k of the n checkpoints randomly, what is the expected length of the path he takes?

ML Researcher

Interviewed at IMBUE

5
Mar 19, 2025

Finding the expected length of paths that include k (randomly chosen) specific positions on a grid with obstacles. There are n checkpoints on a grid, and all other points are either obstacle or passable positions. A user chooses k of the n checkpoints randomly, what is the expected length of the path he takes?

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