Q. Three are six verities of a regular hexagon are chosen at random, then the possibility that the triangle with three vertices is equilateral, is equal to

A) $\frac{1}{2}$
B) $\frac{1}{3}$
C) $\frac{1}{10}$
D) $\frac{1}{20}$
Explanation

(c)
There are two equilateral triangles in a regular hexagon
$\therefore$ Required probability$= \frac{2}{20} = \frac{1}{10}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.