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We define a bow-tie quadrilateral as a quadrilateral where two sides cross each other.

 

Seven distinct points are chosen on a circle. We draw all 7C2=21 chords that connect two of these points. Four of these 21 chords are selected at random. What is the probability that these four chosen chords form a bow-tie quadrilateral?

 Nov 23, 2024
 #1
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The probability is 7/120.

 Nov 23, 2024

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