Question

What is the probability of getting equilateral triangles from the vertices of a regular hexogen ?​

Answer 1

Answer:

The number of vertices in the regular hexagon = 6 To form a triangle, we need choose 3 vertices out of 6 vertices of a hexagon Number of ways to choose 3 vertices =  6C3  = 20 So, Total number of triangles can be formed by choosing 3 vertices = 20 Number of equilateral triangles   can be formed by choosing 3 vertices = 2 Now, ∴ Probability that the triangle with 3 vertices is equilateral triangle = 2/20 =1/10  

Answer 2

Below Follow Rules of Triangle …..

Total possible cases = 6 C 3

Favourable cases =2

So the probability is = 2/6 C 3 =1/10.

Because there can be 2 2 equilateral triangles possible and total number of triangles possible would be (6/3) the answer is 1/10.

HOpe Helpful…