Multiple choice

When a card is drawn at random from 100 cards numbered 1 to 100, the probability that it is a square, is

  1. 1/10

  2. 3/10

  3. 4/10

  4. 1/5

  5. 3/5
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A Correct answer
Explanation

Perfect squares between 1 and 100 are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100. There are 10 such numbers. Probability = 10/100 = 1/10.

AI explanation

A number is a perfect square if it can be expressed as n^2 for some integer n. From 1 to 100, the perfect squares are 1^2, 2^2, 3^2, ..., up to 10^2, giving 10 perfect squares. The probability is the number of favorable outcomes over the total outcomes, which is 10/100, or 1/10.

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