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In a class of 50 pupils, 35 like Science and 30 like History. What is…

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?

  • A.
    0.10
  • B.
    0.30
  • C.
    0.60
  • D.
    0.70
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)