Question

Cards with number $2$ to $101$ are placed in a hat. Find the probability of selecting an even number.

Answer 1

Finding the probability of selecting an even number

The even numbers are the numbers that are divisible by $2$.

From $2$ to $101$ there are $50$ even numbers.

From $2$ to $101$ there are $100$ total numbers.

The formula for the probability is expressed as,

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

Substitute the number of favorable outcomes as $50$ and the total number of outcomes as $100$.

$$\begin{gathered} \Rightarrow P\left(evennumber\right)=\frac{50}{100} \\ \therefore P\left(evennumber\right)=\frac{1}{2} \end{gathered}$$

Hence, the probability of getting an even number from the hat with cards numbered from $2$ to $101$ is $\frac{1}{2}$.