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Omni-MATH / On a 3×3 chessboard, each square contains a knight with (1)/(2) probability. What is the probability that there are two knights that can attack each other? (In chess, a knight can …

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problem

On a 3×33 \times 3 chessboard, each square contains a knight with 12\frac{1}{2} probability. What is the probability that there are two knights that can attack each other? (In chess, a knight can attack any piece which is two squares away from it in a particular direction and one square away in a perpendicular direction.)
Plain-text mathematical notation (without MathML)
On a 3×3 chessboard, each square contains a knight with (1)/(2) probability. What is the probability that there are two knights that can attack each other? (In chess, a knight can attack any piece which is two squares away from it in a particular direction and one square away in a perpendicular direction.)
Original LaTeX notation
On a $3 \times 3$ chessboard, each square contains a knight with $\frac{1}{2}$ probability. What is the probability that there are two knights that can attack each other? (In chess, a knight can attack any piece which is two squares away from it in a particular direction and one square away in a perpendicular direction.)

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Source and history

task_id
6dd4f382-c97f-5340-8f93-1bb09927a300
task_key
test--6dd4f382-c97f-5340-8f93-1bb09927a300
task_revision_id
1
config / split
/ test

Official source

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