The probabilities that John and James pass an examination are $ \frac{3}{4} $ and $ \frac{3}{5} $ respectively. Find the probability of both boys failin...

Assessment: JAMB UTME - Mathematics - 2018 Subject: General Mathematics

Question 1 Report

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.

\frac{1}{10}

\frac{2}{10}

\frac{9}{20}

\frac{11}{20}

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 – $\frac{9}{20}$
= $\frac{11}{20}$