Question

There are $8$ boys and $10$ girls in a class. A child is selected at random. What is the probability that the child selected is a girl?

Answer 1

Step 1: Find the number of favorable outcomes:

Given that, the total number of boys in the class $=8$

The total number of girls in the class $=10$

Thus, the number of possible outcomes will be $10+8=18$

Also, the number of favorable outcomes of selecting a girl child is $10$

Step 2: Use the formula for probability:

$\text{Probability=}\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$

Thus, the probability will be,

$$\begin{gathered} \text{Probability=}\frac{10}{18} \\ \text{=}\frac{5}{9} \end{gathered}$$

Hence, the probability that the child selected is a girl will be $\frac{5}{9}$.