Question

A bag contains $3$ white and $5$ black balls, One ball is drawn at random. Then, the probability that it is white is,

• A. $\frac{1}{8}$
• B. $\frac{3}{8}$
• C. $\frac{5}{8}$
• D. $\frac{7}{8}$

Answer 1

The correct option is B

$\frac{3}{8}$

Explanation for the correct answer:

Find probability that it is white:

Number of white balls = $3$

Number of black balls = $5$

The sample space is the total number of balls, $$\begin{gathered} n\left(s\right)=3+5 \\ =8 \end{gathered}$$

The event is that drawing a white ball, $n\left(e\right)=3$

The probability that it is white,

$$\begin{gathered} P\left(e\right)=\frac{n\left(e\right)}{n\left(s\right)} \\ =\frac{3}{8} \end{gathered}$$

Hence, option (B) is the correct answer.