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Omni-MATH / Three distinct vertices are chosen at random from the vertices of a given…
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problem
Three distinct vertices are chosen at random from the vertices of a given regular polygon of sides. If all such choices are equally likely, what is the probability that the center of the given polygon lies in the interior of the triangle determined by the three chosen random points?
Plain-text mathematical notation (without MathML)
Three distinct vertices are chosen at random from the vertices of a given regular polygon of (2n+1) sides. If all such choices are equally likely, what is the probability that the center of the given polygon lies in the interior of the triangle determined by the three chosen random points?
Original LaTeX notation
Three distinct vertices are chosen at random from the vertices of a given regular polygon of $(2n+1)$ sides. If all such choices are equally likely, what is the probability that the center of the given polygon lies in the interior of the triangle determined by the three chosen random points?
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