Each vertex of a 14 -sided polygon is labeled with one of the 14 letters A through N , with

Question

Each vertex of a 14 -sided polygon is labeled with one of the 14 letters A through N , with a different letter at each vertex. If one vertex is selected at random, what is the probability that the letter D will be at the selected vertex? (Express your answer as a decimal or fraction, not as a percent.)

Accepted Answer

The correct answer is 1 14 . If one vertex of the polygon is selected at random, the probability that the letter D will be at the selected vertex is equal to the number of vertices labeled with the letter D divided by the total number of vertices. It's given that each vertex is labeled with one of the 14 letters A through N , with a different letter at each vertex. It follows that there is 1 vertex labeled with the letter D . It's also given that the polygon is 14 -sided. It follows that there are a total of 14 vertices. Thus, the probability that the letter D will be at the selected vertex is 1 14 . Note that 1/14, .0714, and 0.071 are examples of ways to enter a correct answer.

Question b38bd5