Statistics And Probability Question 535
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:
- [c] When 4 points are selected, we get one intersecting point. So , probability is $ \frac{^{n}C_4}{^{{{(}^{n}}C_2-n)}C_2} $