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Omni-MATH / In each cell of a 4×4 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 t…

Problem

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problem

In each cell of a 4×44 \times 4 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.
Plain-text mathematical notation (without MathML)
In each cell of a 4×4 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.
Original LaTeX notation
In each cell of a $4 \times 4$ 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.

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Source and history

task_id
e3a2e887-54f5-5205-b497-35dbdff5e208
task_key
test--e3a2e887-54f5-5205-b497-35dbdff5e208
task_revision_id
1
config / split
/ test

Official source

initial import