Three of six vertices of a regular hexagon are chosen at random. The probability that the triangle with these three vertices is equilateral, equals

Step-by-step solution

The number of triangles that can be drawn using 6 vertices is given by n ( S )= ^6 C ₃=20 A : Event of selecting equilateral triangle. The equilateral triangle can be drawn if selected three vertices are alternate. aligned & n ( A )=2 & P ( A )= 2 20 = 1 10 aligned