HMMT 2024 C6
- Combinatorics
- Answer
In each cell of a grid, one of the two diagonals is drawn uniformly at random. Compute the probability that the resulting 32 triangular regions can be colored red and blue so that any two regions sharing an edge have different colors.
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{1}{512}
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