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

Mathematics
JAMB 2018

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. \(\frac {11}{20}\)
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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

There is an explanation video available below.


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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
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Explanation Video

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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995