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The probabilities that John and James pass an e... - JAMB Mathematics 2018 Question

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.

 

A
\(\frac {1}{10}\)
B
\(\frac {2}{10}\)
C
\(\frac {9}{20}\)
D
\(\frac {11}{20}\)
correct option: d

Probability (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 – \(\frac {9}{20}\)

  = \(\frac {11}{20}\)

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