Multiple choice

Cards marked with numbers $1, 2, 3...25$ are placed in a box and mixed thoroughly and one card is drawn at random from the box. What is the probability that the number on the card is:

  1. a prime number

  2. a multiple of $3$ and $5$
  3. an odd number

  4. neither divisible by $5$ nor by $10$
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A Correct answer
AI explanation

The total number of possible outcomes is 25. The prime numbers between 1 and 25 are 2, 3, 5, 7, 11, 13, 17, 19, and 23, providing 9 favorable outcomes. Using the classical probability formula, the probability is the number of favorable outcomes divided by the total outcomes, resulting in 9/25.