Question

Twenty counters are placed in a bag. Eight of them are red, six are yellow, four are green and the remaining blue. If one counter is picked at random, what is the probability that it is yellow?

Answer 1

Finding the probability that the counter is yellow:

The event is selecting a counter at random.

There are $20$ counters placed in a bag.

So, the total number of outcomes is $20$.

Out of the total counters, $8$ are red, $6$ are yellow, $4$ are green and the remaining are blue.

There are $6$ yellow counters in the bag.

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

The formula for probability is,

$$\begin{gathered} \Rightarrow Probability=\frac{Numberoffavourableoutcomes}{Totalnumberofoutcomes} \\ \Rightarrow P\left(yellow\right)=\frac{6}{20} \\ \therefore P\left(yellow\right)=\frac{3}{10} \end{gathered}$$

Therefore, the probability of yellow counters is $\frac{3}{10}$.