Three of the six vertices of a regular hexagon are chosen the random. What is the probability that the triangle with these vertices is equilateral.

Explanation

To solve the problem of finding the probability that a triangle formed by randomly selecting three vertices from a regular hexagon is equilateral, we can follow these steps:

### Step 1: Understand the Structure of the Hexagon
A regular hexagon has 6 vertices. We can label them as A, B, C, D, E, and F.

### Step 2: Calculate the Total Ways to Choose 3 Vertices
We need to find the total number of ways to choose 3 vertices from 6. This can be calculated using the combination formula:

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