The Venn diagram above shows the number of students offering physics and chemistry in a class of 65. What is the probability that a student selected from the class offers physics and chemistry if every students offers at least one subject?
-
\(\frac{2}{13}\)
- \(\frac{5}{13}\)
- \(\frac{2}{5}\)
- \(\frac{3}{13}\)
The correct answer is: A
Explanation
65 = 30 -x + x + 45 - x
65 - 75 = 10 = x ( number of students offering both subjects)
Pr( \(\text{students offering both subjects}\)) = \(\frac{10}{65}\) = \(\frac{2}{13}\)
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