Question

Cards marked with numbers 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from the box. Find the probability that the number on the card is a perfect square.

Answer 1

The possible outcomes are 2, 3, 4, 5................101.
Number of all possible outcomes = 100

Out of these, the numbers that are perfect squares = 4, 9, 16, 25, 36, 49, 64, 81 and 100.
Number of favourable outcomes = 9
∴ P (getting a number that is a perfect square) = $\frac{9}{100}$