HMMT November 2017 U27
- Guts
- Answer
On a chessboard, each square contains a Chinese knight with probability. What is the probability that there are two Chinese knights that can attack each other? (In Chinese chess, a Chinese knight can attack any piece which is two squares away from it in a particular direction and one square away in a perpendicular direction, under the condition that there is no other piece immediately adjacent to it in the first direction.)
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{79}{256}
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