Question Number 175409 by henderson last updated on 29/Aug/22
$$\mathrm{exercise} \\ $$Consider a polygon with an odd number 𝗻 of vertices. We connect any 3 vertices of this polygon to form a triangle.
What is the probability that this triangle contains the center of the circle circumscribing the polygon?
Commented by nikif99 last updated on 01/Sep/22
$${I}\:{think}\:{there}\:{is}\:{no}\:{solution}\:{for}\:{non} \\ $$$${regular}\:{polygons}. \\ $$
Commented by greg_ed last updated on 31/Aug/22
$$\boldsymbol{\mathrm{no}}\:\boldsymbol{\mathrm{idea}}\:! \\ $$
Commented by mr W last updated on 04/Sep/22
$${then}\:{consider}\:{it}\:{as}\:{regular}\:{polygon} \\ $$$${and}\:{try}\:{to}\:{solve}\:{it}. \\ $$