Multiple choice

A box contains $10$ white, $6$ red and $10$ black balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either white or red?

  1. $\dfrac{7}{13}$
  2. $\dfrac{7}{12}$
  3. $\dfrac{8}{13}$
  4. $\dfrac{9}{15}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total balls = 10 + 6 + 10 = 26. Favorable outcomes (white or red) = 10 + 6 = 16. Probability = 16/26 = 8/13.

AI explanation

The total number of balls in the box is the sum of white, red and black balls, which equals 10 plus 6 plus 10 to give 26 balls. The number of balls that are either white or red is 10 plus 6, which is 16. Using the classical definition of probability, the required probability is 16 divided by 26, which simplifies to 8/13.