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Out of 70 schools, 42 of them can be attended by boys and 35 can...

Further Mathematics
WAEC 2018

Out of 70 schools, 42 of them can be attended by boys and 35 can be attended by girls. If a pupil is selected at random from these schools, find the probability that he/ she is from a mixed school.

  • A. \(\frac{1}{11}\)
  • B. \(\frac{1}{10}\)
  • C. \(\frac{1}{6}\)
  • D. \(\frac{1}{5}\)
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Correct Answer: Option B
Explanation

Let the number of mixed schools be S

The number of boys only = 42 - S

The number of girls only = 35 - S

(42 - S) + S + (35 - S) = 77 - S = 70

\(\implies\) S = 7

\(Probability = \frac{7}{70} = \frac{1}{10}\)


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