Question

Cards with number $2$ to $101$ are placed in a hat. Find the probability of selecting a number less than $14$.

Answer 1

Finding the probability of selecting number less than $14$

The numbers which are less than $14$ from $2$ to $101$ are:

$2,3,4,5,6,7,8,9,10,11,12,13$

The formula for the probability is expressed as,

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

Substitute the number of favorable outcomes as $12$ and the total number of outcomes as $100$.

$$\begin{gathered} \Rightarrow P\left(lessthan14\right)=\frac{12}{100} \\ \therefore P\left(lessthan14\right)=\frac{3}{25} \end{gathered}$$

Hence, the probability of getting a number less than $14$ from the hat with cards numbered from $2$ to $101$ is $\frac{3}{25}$.