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Omni-MATH / In a k×k chessboard, a set S of 25 cells that are in a 5×5 square is chosen uniformly at random. The probability that there are more black squares than white squares in S is 48%. F…

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problem

In a k×kk \times k chessboard, a set SS of 25 cells that are in a 5×55 \times 5 square is chosen uniformly at random. The probability that there are more black squares than white squares in SS is 48%48 \%. Find kk.
Plain-text mathematical notation (without MathML)
In a k×k chessboard, a set S of 25 cells that are in a 5×5 square is chosen uniformly at random. The probability that there are more black squares than white squares in S is 48%. Find k.
Original LaTeX notation
In a $k \times k$ chessboard, a set $S$ of 25 cells that are in a $5 \times 5$ square is chosen uniformly at random. The probability that there are more black squares than white squares in $S$ is $48 \%$. Find $k$.

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task_id
9f9f66b4-19e1-5d83-8547-5cdc74aaeeb0
task_key
test--9f9f66b4-19e1-5d83-8547-5cdc74aaeeb0
task_revision_id
1
config / split
/ test

Official source

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