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Q. 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 :

JEE MainJEE Main 2019Probability

Solution:

Only two equilateral tringles are possible $A_1 A_3 A_5$ and $A_2A_5A_6$
$\frac{2}{6_{C_3}} = \frac{2}{20} = \frac{1}{10}$

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