The probability that John and James pass an examination are 3/4 and 3/5 respectively, find
MATHEMATICS
WAEC 2005
The probability that John and James pass an examination are 3/4 and 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. \(\frac{11}{20}\)
Correct Answer: A. \(\frac{1}{10}\)
Explanation
Prob.(John pass)\(=frac{3}{4}\) prob.(John fail) \(=1-frac{3}{4}=\frac{1}{4}\)
Prob.(James pass) \(=frac{3}{5}\) Prob.(James fail) \(=1-frac{3}{5}=\frac{2}{5}\)
Prob(both boys fail)\(=frac{1}{4}\times \frac{2}{5}=\frac{1}{10}\)
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