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

FURTHER MATHEMATICS
WAEC 2010

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: B. 0.30

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) = \(\frac{15}{50} = 0.30\)



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