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The probabilities that Kodjo and Adoga pass an examination are \(\frac{3}{4}\) and \(\frac{3}{5}\) respectively. Find...

Mathematics
WAEC 2000

The probabilities that Kodjo and Adoga pass an examination are \(\frac{3}{4}\) and \(\frac{3}{5}\) respectively. Find the probability of both boys failing the examination

  • A. \(\frac{1}{10}\)
  • B. \(\frac{3}{10}\)
  • C. \(\frac{9}{20}\)
  • D. \(\frac{2}{3}\)
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Correct Answer: Option A
Explanation

P(Kodjo passing) = \(\frac{3}{4}\); P(Adoga passing) = \(\frac{3}{5}\)

P(Kodjo failing) = \(\frac{1}{4}\); P(Adoga failing) = \(\frac{2}{5}\)

P(both fail) = \(\frac{1}{4} \times \frac{2}{5}\)

= \(\frac{1}{10}\)


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