A survey was conducted of the courses taken by the 1,272 sophomores at a local high school. Determine the probability that a student is currently taking geometry or pottery. State your answer as a fraction. You do not have to reduce the fraction.

Answer 1

To determine the probability that a student is currently taking geometry or pottery, we need the number of sophomores taking geometry, the number taking pottery, and the total number of sophomores surveyed.

Let:

• \( G \) = the number of students taking geometry
• \( P \) = the number of students taking pottery
• \( T \) = the total number of students surveyed = 1,272

The probability \( P(G \cup P) \) of a student taking either geometry or pottery is calculated using the formula:

\[ P(G \cup P) = \frac{G + P}{T} \]

However, without the specific number of students taking geometry and pottery provided, we can't determine \( P(G \cup P) \) exactly.

If you have the values for \( G \) and \( P \) (the number of students taking geometry and pottery respectively), please provide them, and I can help you calculate the probability as a fraction.