Cards with numbers 2 to 101 are placed in a box.

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 $=\frac{9}{100}$

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