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 is A

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)\(\frac{1}{4}\times \frac{2}{5}=\frac{1}{10}\)