In a class of 50 pupils, 35 like Science and 30 like History. What is the probability of selecting a pupil who likes both Science and History?
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Correct Answer: Option B
Explanation:
Let the number of students that like both Science and History = x
Number of Science only = 35 - x
Number of History only = 30 - x
35 - x + 30 - x + x = 50
65 - x = 50
x = 15
P(Science and History) = \(\frac{15}{50} = 0.30\)
Let the number of students that like both Science and History = x
Number of Science only = 35 - x
Number of History only = 30 - x
35 - x + 30 - x + x = 50
65 - x = 50
x = 15
P(Science and History) = \(\frac{15}{50} = 0.30\)