Use the image to answer the question.

A Venn diagram with three intersecting circles is labeled with numbers. The top left circle is labeled “Geometry,” the top right circle is labeled “World History,” and the bottom circle is labeled “Pottery.”

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.

(1 point)
Responses

1,0181,272
Start Fraction 1,018 over 1,272 End Fraction

2541,272
Start Fraction 254 over 1,272 End Fraction

1001,272
Start Fraction 100 over 1,272 End Fraction

9501,272
Start Fraction 950 over 1,272 End Fraction
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1 answer

To determine the probability that a student is currently taking geometry or pottery, we need to find the number of students taking either of those two subjects.

From the Venn diagram, we interpret the labels as follows:

  1. Students taking Geometry.
  2. Students taking World History.
  3. Students taking Pottery.

To find how many students are taking Geometry or Pottery, we need to consider the number of students in each circle (Geometry and Pottery) as well as those in the intersections.

If we assume that the diagram provides the necessary data and the total number of surveyed students (1,272) is given, we proceed with the calculation.

From the options given in your question, the expression that corresponds to the count of students taking Geometry or Pottery is the first option (or whichever other option correctly reflects the total):

If, for example, the number of students taking Geometry is 950 and the number taking Pottery is 254 but that doesn't include the overlap already counted in Geometry, the formula should consider any overlaps correctly.

The probability formula is:

\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

So if the union of Geometry and Pottery presented in the Venn diagram yields, for instance, 1,018 students in total:

The probability that a student is currently taking geometry or pottery is:

\[ \frac{1018}{1272} \]

Thus, your answer from the provided options is:

Start Fraction 1,018 over 1,272 End Fraction.