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 less than $14$.

  1. $\displaystyle\frac{3}{27}$
  2. $\displaystyle\frac{3}{29}$
  3. $\displaystyle\frac{3}{25}$
  4. $\displaystyle\frac{3}{22}$
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C Correct answer
Explanation

Numbers from 2 to 101 inclusive. Total count = 101 - 2 + 1 = 100. Numbers less than 14 are {2, 3, ..., 13}. Count = 13 - 2 + 1 = 12. Probability = 12/100 = 3/25.

AI explanation

The total number of cards from 2 to 101 is 100. The numbers less than 14 are 2 through 13, giving 12 favorable outcomes. The probability is 12 divided by 100, which simplifies to 3/25.

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