Question:
Cards with numbers 2 to 101 are placed in a box. A card is selected at random from the box. Find the probability that the card which is selected has a number which is a perfect square.
Solution:
It is given that cards with numbers 2 to 101 are placed in a box. A card is picked at random.
We have to find the probability that the card selected has a number which is a perfect square.
Perfect squares between 2 and 101 are 4, 9, 16, 25, 36, 48, 64, 81, 100
Total number of perfect squares
Total number of cards
Probability (perfect square) $=\frac{9}{100}$
Hence probability for the selected card number to be a perfect square $=\frac{9}{100}$