The probabilities that John and James pass an examination are 34 3 4 and 35 3 5 respectively. Find the probability of both boys failing the examination.

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.

Answer Details

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 – $\frac{9}{20}$
= $\frac{11}{20}$