Question

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.

Answer 1

Answer: 53/108

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Step-by-step 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.