+0

# Probability

0
121
2
+16

We define a bow-tie quadrilateral as a quadrilateral where two sides cross each other. An example of a bow-tie quadrilateral is shown below

Seven distinct points are chosen on a circle. We draw all \(\dbinom{7}{2} = 21\) 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?

Jul 18, 2020

#1
0

The probability is 3*C(7,3)/C(21,4) = 1/57.

Jul 18, 2020
#2
+111998
-1

"is shown below"  Where it the pic?

Jul 18, 2020