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Omni-MATH / An entry in a grid is called a saddle point if it is the largest number in its…

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problem

An entry in a grid is called a saddle point if it is the largest number in its row and the smallest number in its column. Suppose that each cell in a 3×33 \times 3 grid is filled with a real number, each chosen independently and uniformly at random from the interval [0,1][0,1]. Compute the probability that this grid has at least one saddle point.
Plain-text mathematical notation (without MathML)
An entry in a grid is called a saddle point if it is the largest number in its row and the smallest number in its column. Suppose that each cell in a 3×3 grid is filled with a real number, each chosen independently and uniformly at random from the interval [0,1]. Compute the probability that this grid has at least one saddle point.
Original LaTeX notation
An entry in a grid is called a saddle point if it is the largest number in its row and the smallest number in its column. Suppose that each cell in a $3 \times 3$ grid is filled with a real number, each chosen independently and uniformly at random from the interval $[0,1]$. Compute the probability that this grid has at least one saddle point.

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Source and history

task_id
bf46ff46-756a-534e-9946-7fbbf7b76662
task_key
test--bf46ff46-756a-534e-9946-7fbbf7b76662
task_revision_id
1
config / split
/ test

Official source

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