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 selected card has a number which is a perfect square.

• A. $\frac{11}{100}$
• B. $\frac{1}{10}$
• C. $\frac{7}{100}$
• D. $\frac{9}{100}$

Answer 1

The correct option is D $\frac{9}{100}$

We are given that Cards numbered 2 to 101 are placed in a box.

So, total no. of cards = 100

Now we are supposed to find the probability that the card selected has a number which is a perfect square.

So, perfect squares between 2 and 101 are {4,9,16,25,36,49,64,81,100}

No. of cards of perfect squares = 9

Total no. of cards = 100

So, probability of getting a number which is a perfect square.= 9/100