Probability Question 326

Question: In a n-sided regular polygon, the probability that the two diagonal chosen at random will intersect inside the polygon is

Options:

A) $ \frac{2{}^{n}C_2}{{}^{({}^{n}C_2-n)}C_2} $

B) $ \frac{^{n(n-1)}C_2}{{}^{({}^{n}C_2-n)}C_2} $

C) $ \frac{^{n}C_4}{{}^{({}^{n}C_2-n)}C_2} $

D) none of these

Show Answer

Answer:

Correct Answer: C

Solution:

When 4 points are selected, we get one intersecting point. So , probability is $ \frac{^{n}C_4}{^{{{(}^{n}}C_2-n)}C_2} $



sathee Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on

Please select your preferred language
कृपया अपनी पसंदीदा भाषा चुनें