Question

Three of the six vertices of a regular hexagon are chosen the random. What is the probability that the triangle with these vertices is equilateral.
A. `1//2`
B. `1//5`
C. `1//10`
D. `1//20`

Answer 1

Correct Answer - C
Three vertices out of 6 can be chosen in `""^(6)C_3=20`
Only two equilateral
triangle can be formed
`Delta AEC " and " Delata BFD`
`therefore` Favourable ways =2
So, required probability
`=2/20 =1/10`