Question

The questions on a test consist of 10 multiple choices, 3 essays, and 9 free responses. If the questions are ordered randomly, what is the probability that the first question is a free response?

Answer 1

9/22 or 40.9%

Step-by-step explanation:

Probability describes the likelihood of an event. To find simple probability, like in this question, use division.

To find the probability of the first question being a free response, you first need to find the total number of questions. This can be done by adding together all of the given information. There are 10 multiple choice, 3 essays, and 9 free responses.

• 10 + 3 + 9 = 22

This means that there are 22 total questions. Next, find how many of these questions are free-response. We know that there are 9 free responses and 22 questions in total. So, 9 out of 22 are free responses. This can be rewritten as 9/22.

If you want to find the percentage, simplify the fraction and convert it to a percentage.

• 9/22 = 0.409

Then, move the decimal 2 places to the right. This gives you 40.9%, which is the probability of the first question being a free-response.