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We define a bow-tie quadrilateral as a quadrilateral where two sides cross each other.  An example of a bow-tie quadrilatera is shown below.  distinct points are chosen on a circle. We draw all  chords that connect two of these points. Four of these chords are selected at random. What is the probability that these four chosen chords form a bow-tie quadrilateral?

 Jan 21, 2023

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