Question

three of the six vertices of a regular hexagon are chosen at random. find the probability that the triangle with three vertices is equilateral.​

Answer 1

We can choose vertices out of 6 in 6C3=20 ways

Chosen vertices can form equilateral △ in just two ways namely A1A3A5 and A2A4A6

Required probability =220

=110

Answer : 110

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Answer 2

Answer:

We can choose vertices out of 6

6C niche 3=20 ways

Chosen vertices form equilateral tri. in just 2 ways that A1, A3, A5

And

A2, A4, A6

Required probability =2/20

1

=1/10