Multiple choice

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

  1. $\displaystyle\frac{9}{100}$
  2. $\displaystyle\frac{5}{100}$
  3. $\displaystyle\frac{4}{100}$
  4. $\displaystyle\frac{7}{100}$
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A Correct answer
Explanation

Total cards = 101 - 2 + 1 = 100. Perfect squares between 2 and 101 are 4, 9, 16, 25, 36, 49, 64, 81, 100 (9 total). Probability = 9/100.

AI explanation

The total number of cards from 2 to 101 is 100. The perfect squares in this range are 4, 9, 16, 25, 36, 49, 64, 81 and 100, totaling 9 cards. Using the classical probability formula, the probability is 9/100. The answer is 9/100.

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