Multiple choice

A number is chosen at random from the list of prime numbers less than $50$. The chance that it is less than $24$ is

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

Prime numbers less than 50 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 (15 total). Primes less than 24 are: 2, 3, 5, 7, 11, 13, 17, 19, 23 (9 total). Probability = 9/15 = 3/5.

AI explanation

The prime numbers less than 50 total 15, which constitutes our sample space. The prime numbers less than 24 are 2, 3, 5, 7, 11, 13, 17, 19, and 23, totaling 9 numbers. Therefore, the required probability is 9 divided by 15, which simplifies to 3 divided by 5.

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