Question

A bag contains $4$ white balls, $6$ red balls, $7$ black balls and $3$ blue balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is white.

Answer 1

Step 1: Finding the probability that the ball drawn is white.

There are $4$ white balls, $6$ red balls, $7$ black balls and $3$ blue balls.

So, the total outcomes are $20$.

As there are $4$ white balls, so, the favorable outcomes will be $4$.

The formula to compute the probability is expressed as,

$Probability=\frac{Nooffavorableoutcomes}{Totaloutcomes}$

Substitute the number of favorable outcomes as $4$ and the total number of outcomes as $20$ in the formula.

$$\begin{gathered} \Rightarrow P\left(awhiteball\right)=\frac{4}{20} \\ \therefore P\left(awhiteball\right)=\frac{1}{5} \end{gathered}$$

Therefore, the probability that the ball drawn is white is $\frac{1}{5}$.