olymmath

HMMT November 2015 H8

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Consider an 8×88 \times 8 grid of squares. A rook is placed in the lower left corner, and every minute it moves to a square in the same row or column with equal probability (the rook must move; i.e. it cannot stay in the same square). What is the expected number of minutes until the rook reaches the upper right corner?

Dataset text NuminaMath olympiads. Quoted with source.

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70

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