Three of six vertices of a regular hexagon are chosen at random.The probability that the triangle with these vertices is equilateral is..
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There 6 vertices in regular hexagon. Out of 6 vertices 3 vertices can be selected as,
= 6C3 ways.
There will be two equilateral triangle can be formed with regular hexagon. So,
required probability = 2/6C3 = 2/20 = 1/10.
Answer = 1/10