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The probabilities that John and James pass an examination are\(\frac {3}{4}\)and ...

The probabilities that John and James pass an examination are \(\frac {3}{4}\)and \(\frac {3}{5}\) respectively. Find the probability of both boys failing the examination.
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  • A \(\frac {1}{10}\)
  • B \(\frac {2}{10}\)
  • C \(\frac {9}{20}\)
  • D \(\frac {11}{20}\)
Correct Answer: Option D
Explanation:
Pr(both John and James passed)
 = \(\frac {3}{4}\) x \(\frac {3}{5}\)
 = \(\frac {9}{20}\)
 Pr(john and james failed)= 1- Pr(john and james passed)
 = 1 – \(\frac {9}{20}\)
 = \(\frac {11}{20}\)
 Answer is D

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