The Venn diagram shows the number of participants in extracurriucular activities for a junior class of 324 students. Determine the probability that a randomly selected student is in drama or music. Express your answer in simplest fraction form.

 53/108

Explanation:

Step 1) add up all the values in the circles "drama" and "music". Those values are 51, 15, 12, 11, 7, 63. So we get 51+15+12+11+7+63 = 159. There are 159 students that are in drama, music, or both. Some take athletics as well, but we aren't concerned with that third class.Step 2) Divide 159 over the total number of juniors, which is 324. We get 159/324. Step 3) Reduce the fraction 159/324 to get the answer 53/108. You would divide both parts of 159/324 by the GCF 3. So we have 159/3 = 53 and 324/3 = 108

If you want the decimal approximation, then use a calculator to get roughly 53/108 = 0.4907, though your teacher wants the exact fraction form.