Question

A bag contains $6$ red balls and $4$ green balls. Find the probability of selecting at random a red ball?

Answer 1

Finding the probability of selecting a red ball:

The event is selecting a ball at random.

The total number of balls is:

$$\begin{gathered} Totalnumberofballs=redballs+greenballs \\ Totalnumberofballs=6+4 \\ Totalnumberofballs=10 \end{gathered}$$

So, there are $10$ balls placed in a bag.

The total number of outcomes is $10$.

There are $6$ red balls in the bag.

So, the number of favourable outcomes is $6$.

The formula for probability is,

$$\begin{gathered} \Rightarrow Probability=\frac{Numberoffavourableoutcomes}{Totalnumberofoutcomes} \\ \Rightarrow P\left(red\right)=\frac{6}{10} \\ \therefore P\left(red\right)=\frac{3}{5} \end{gathered}$$

Therefore, the probability of selecting a red ball from the bag is $\frac{3}{5}$.