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. \(\frac{2}{3}\)
Correct Answer: A. \(\frac{1}{10}\)
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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