Question

Two of the vertices of a regular octahedron are to be chosen at random. What is the probability that they will be the endpoints of an edge of the octahedron

Answer 1

Explanation:

First, a regular octahedron has a minimum of six vertices and twelve edges.

What is the probability that 2 vertices (randomly chosen) will be the endpoints of an edge of the octahedron?

NOTE:

The edges are the lines that join the points together, to form the shape.

The points are the vertices; each point being called a vertex.

Hence, the probability that 2 randomly chosen vertices will be the endpoints of an edge (a particular edge) of the octahedron is

6/12 = 1/2 = 0.5