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?
Attached Figure / Diagram
A
\(\frac{2}{13}\)
B
\(\frac{5}{13}\)
C
\(\frac{2}{5}\)
D
\(\frac{3}{13}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
65 = 30 -x + x + 45 - x
65 - 75 = 10 = x ( number of students offering both subjects)
Pr( \(\text{students offering both subjects}\)) = \(\frac{10}{65}\) = \(\frac{2}{13}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #70200)