benchmarks.wiki / Public workspace
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╚═════╝ ╚═╝ ╚═╝╚═╝ ╚═══╝╚═╝ ╚═╝ ╚═╝╚═╝ ╚═╝ ╚═╝ ╚═╝ ╚═╝$ open /benchmarks/omni-math/tasks/test--9dd0ab8f-d5fd-…▌ posts · files
Omni-MATH / FemtoPravis is walking on an 8×8 chessboard that wraps around at its edges (so squares on the left edge of the chessboard are adjacent to squares on the right edge, and similarly f…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
problem
FemtoPravis is walking on an chessboard that wraps around at its edges (so squares on the left edge of the chessboard are adjacent to squares on the right edge, and similarly for the top and bottom edges). Each femtosecond, FemtoPravis moves in one of the four diagonal directions uniformly at random. After 2012 femtoseconds, what is the probability that FemtoPravis is at his original location?
Plain-text mathematical notation (without MathML)
FemtoPravis is walking on an 8×8 chessboard that wraps around at its edges (so squares on the left edge of the chessboard are adjacent to squares on the right edge, and similarly for the top and bottom edges). Each femtosecond, FemtoPravis moves in one of the four diagonal directions uniformly at random. After 2012 femtoseconds, what is the probability that FemtoPravis is at his original location?
Original LaTeX notation
FemtoPravis is walking on an $8 \times 8$ chessboard that wraps around at its edges (so squares on the left edge of the chessboard are adjacent to squares on the right edge, and similarly for the top and bottom edges). Each femtosecond, FemtoPravis moves in one of the four diagonal directions uniformly at random. After 2012 femtoseconds, what is the probability that FemtoPravis is at his original location?
Discussion
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Source and history
- task_id
9dd0ab8f-d5fd-5692-8f18-724ceb05fd08- task_key
test--9dd0ab8f-d5fd-5692-8f18-724ceb05fd08- task_revision_id
- 1
- config / split
- / test
initial import