Question

A bag contains $7$ black, $5$ red and $3$ white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is red.

Answer 1

Finding the probability that the ball drawn is red:

The total number of balls present in the bag are $7+5+3=15$.

The total number of red balls present in the bag are $5$.

So, the number of favorable outcomes is $5$ and the total number of outcomes is $15$.

The formula for probability is given by

$Probability=\frac{Numberoffavorableoutcomes}{Totalnumberofoutcomes}$

$$\begin{gathered} \Rightarrow P\left(red\right)=\frac{5}{15} \\ \therefore P\left(red\right)=\frac{1}{3} \end{gathered}$$

Therefore, the probability that the ball drawn is red is $\frac{1}{3}$.