Solved: The circumference of a circle is colored with red and blue, Basic Statistics

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The circumference of a circle is colored with red and blue

Question: The circumference of a circle is colored with red and blue ink such that 2/3 of the circumference is red and 1/3 is blue. Prove that no matter how complicated the coloring scheme is, there is a way to inscribe a square in the circle such that at least three of the four corners of the square touch red ink.

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Basic Statistics: The circumference of a circle is colored with red and blue

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