Three of the six vertices of a regular hexagon are chosen at random. What is the probability that the triangle with these vertices is equilateral.
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Answer..
3 vertices out of 6 can be chosen in
6C3 = 20 ways
In a hexagon only 2 equilateral triangle are possible.
∴ probability that the triangle with these vertices is equilateral
= 2/20
= 1/10
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