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WAEC Mathematics 2022 Paper

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Question : 30

Total: 47

Mrs Gabriel is pregnant. The probability that she will give birth to a girl is 1/2 and with blue eyes is 1/4. What is the probability that she will give birth to a girl with blue eyes?

1
$\;\frac{3}{4}$
$\;\frac{1}{8}$
$\;\frac{1}{4}$

Solution:

Concept:

When two events are independent, the probability of both happening together is the product of their individual probabilities.

Explanation:

The probability of giving birth to a girl is

\frac{1}{2}

.

The probability of giving birth to a child with blue eyes is

\frac{1}{4}

.

Since being a girl and having blue eyes are independent events, multiply the probabilities:

\frac{1}{2} \times \frac{1}{4} = \frac{1}{8}

Answer:

The probability is

\frac{1}{8}

.

Correct option: C.

\frac{1}{8}

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