Q8 of 158 Page 34

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.

3 vertices out of 6 can be chosen in 6C3 = 20 ways


In a hexagon only 2 equilateral triangles are possible.


∴ probability that the triangle with these vertices is equilateral = 2/20 = 1/10


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