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We say that a quadrilateral is a bow-tie if two of the sides cross each other. Seven different points are chosen on a circle. We draw all C(7,2) chords that connect two of these points. Four of these 21 chords are selected at random. What is the probability that the four chords form a bow-tie quadrilateral?

(show working out pls!)

 Feb 2, 2020
 #1
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The probability is 22/27.

 Feb 2, 2020
 #2
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Please stop trying to cheat by posting problems from the Artofproblemsolving.com website. Thank you. By the way, guest's answer is incorrect, so don't input it. The answer is a lot smaller.

 Feb 2, 2020

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