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JAMB Mathematics 2018 Paper

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Question : 12

Total: 62

The probabilities that John and James pass an examination are

\frac{3}{4}

\frac{3}{5}

respectively. Find the probability of both boys failing the examination.

$\frac{1}{10}$
$\frac{2}{10}$
$\frac{9}{20}$
$\frac{11}{20}$

Solution:

Concept:

For independent events, multiply the individual probabilities of failure.

Explanation:

Probability that John fails:

P(\text{John fails}) = 1 - \frac{3}{4} = \frac{1}{4}

Probability that James fails:

P(\text{James fails}) = 1 - \frac{3}{5} = \frac{2}{5}

The events are independent, so multiply the probabilities:

P(\text{both fail}) = \frac{1}{4} \times \frac{2}{5} = \frac{2}{20} = \frac{1}{10}

Answer:

\frac{1}{10}

Option A.

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