Multiple choice

A bag contains $12$ balls which are numbered from $1$ to $12$. If a ball is selected at random, what is the probability that the number of the ball will be a multiple of $5$ or $6$?

  1. $0.30$
  2. $0.25$
  3. $0.20$
  4. $\dfrac{1}{3}$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Multiples of 5: 5, 10. Multiples of 6: 6, 12. Total favorable outcomes = 4. Probability = 4/12 = 1/3.

AI explanation

According to the addition theorem of probability for mutually exclusive events, we find the probability by dividing the total number of favorable outcomes by the total possible outcomes. The multiples of 5 are 5 and 10, while the multiples of 6 are 6 and 12, giving exactly 4 unique favorable numbers. The probability is therefore 4 favorable outcomes out of 12 total balls, which simplifies to 1/3.

Keep practicing — related questions