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Omni-MATH / Consider an 8×8 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 mo…

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problem

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?
Plain-text mathematical notation (without MathML)
Consider an 8×8 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?
Original LaTeX notation
Consider an $8 \times 8$ 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?

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Source and history

task_id
952a37b9-88ba-5590-a122-66e921f7d3ff
task_key
test--952a37b9-88ba-5590-a122-66e921f7d3ff
task_revision_id
1
config / split
/ test

Official source

initial import