Multiple choice

A box contains $6$ red marbles numbers from $1$ through $6$ and $4$ white marbles $12$ through $15$. Find the probability that a marble drawn 'at random' is white and odd numbered

  1. $5$
  2. $\dfrac {1}{5}$
  3. $6$
  4. $\dfrac {1}{6}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total marbles = 6 + 4 = 10. White marbles are numbered 12, 13, 14, 15. Odd numbered white marbles are 13 and 15 (2 marbles). Probability = 2 / 10 = 1/5.

AI explanation

The box contains a total of 10 marbles (6 red and 4 white). To find a marble that is both white and odd-numbered, we look at the white marbles numbered 12 through 15, which are 12, 13, 14, and 15. Only the numbers 13 and 15 are odd, giving 2 favorable outcomes. Using the basic probability formula, the probability is 2/10, which simplifies to 1/5.