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.

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 – $\frac{9}{20}$
= $\frac{11}{20}$

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Probability

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