Question:
If three of the six vertices of a regular hexagon are chosen at random, then the probability that the triangle formed with these chosen vertices is equilateral is :
Correct Option: , 2
Solution:
Only two equilateral tringles are possible $\mathrm{A}_{1} \mathrm{~A}_{3}$
$\mathrm{A}_{5}$ and $\mathrm{A}_{2} \mathrm{~A}_{5} \mathrm{~A}_{6}$
$\frac{2}{6_{C_{2}}}=\frac{2}{20}=\frac{1}{10}$
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