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 red?

Answer 1

Finding the probability that the counter is red:

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 $8$ red counters in the bag.

So, the number of favourable outcomes is $8$.

The formula for probability is,

$$\begin{gathered} \Rightarrow Probability=\frac{Numberoffavourableoutcomes}{Totalnumberofoutcomes} \\ \Rightarrow P\left(red\right)=\frac{8}{20} \\ \therefore P\left(red\right)=\frac{2}{5} \end{gathered}$$

Therefore, the probability of red counters is $\frac{2}{5}$.