Question

In a box, there are 20 marbles. Each marble is marked with a distinct number from 1 to 20. Find the probability of drawing a marble from the box which is marked with a number that is a perfect square.

• A. $\frac{2}{5}$
• B. $\frac{1}{4}$
• C. $\frac{1}{6}$
• D. $\frac{1}{5}$
  

Answer 1

The correct option is D $\frac{1}{5}$


Given, There are 20 marbles in a box with a distinct number from 1 to 20.
Number of total marbles = 20.
Perfect square from 1 to 20 is 1, 4, 9, and 16.
Number of favourable outcomes = 4
$Probability=\frac{Favourableoutcomes}{Totalnumberofoutcomes}$
$=\frac{4}{20}$ $=\frac{1}{5}$