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 answer is D

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