sat suite question viewer
Each vertex of a -sided polygon is labeled with one of the letters through , with a different letter at each vertex. If one vertex is selected at random, what is the probability that the letter will be at the selected vertex? (Express your answer as a decimal or fraction, not as a percent.)
Explanation
The correct answer is . If one vertex of the polygon is selected at random, the probability that the letter will be at the selected vertex is equal to the number of vertices labeled with the letter divided by the total number of vertices. It's given that each vertex is labeled with one of the letters through , with a different letter at each vertex. It follows that there is vertex labeled with the letter . It's also given that the polygon is -sided. It follows that there are a total of vertices. Thus, the probability that the letter will be at the selected vertex is . Note that 1/14, .0714, and 0.071 are examples of ways to enter a correct answer.