Sure! I’ll be happy to share my thoughts about this problem! (Sorry for not doing it initially. 😁)
Here's a pretty concise explanation:
We know that a quadrilateral needs to have four vertices (or points on the circle). There are always two ways to link the cross — horizontally or vertically. Using my limited knowledge of combinations, we know that choosing four points out of seven equals 35. Multiplying the two ways to connect those lines (again, horizontally and vertically) makes 35*2 = 70 "bow-tie quadrilaterals" that can be formed on the circle using four points. There are 5985 ways four chords can be chosen out of twenty-five chords because C(25,4) equals 5985, so the probability is 70/5985... and then we just need to simplify that fraction. 😉
I hope that was an acceptable summary? I just want to thank CalculatorUser his/her guidance and I apologize to Melody for not initially putting my explanation! (I don’t know if that makes sense, so if anybody wants a more detailed summary, just let me know. 🥰)
