Question

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

Answer 1

Finding the probability of selecting a square number

From $2$ to $101$ the numbers which are square are:

$4,9,16,25,36,49,64,81,100$

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 $9$ and the total number of outcomes as $100$.

$\therefore P\left(squarenumber\right)=\frac{9}{100}$

Hence, the probability of getting a square number from the hat with cards numbered from $2$ to $101$ is $\frac{9}{100}$.