Multiple choice

A bag contains 6 red, 4 blue and 2 yellow balls. If three balls are drawn one by one with replacement, what is the probability of getting exactly one red ball?

  1. 1/8

  2. 1/4

  3. 3/8

  4. 1/2

  5. 1/7

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total balls = 12. P(Red) = 6/12 = 1/2. P(Not Red) = 1/2. Drawing 3 balls with replacement, the probability of exactly one red is 3C1 * (1/2)^1 * (1/2)^2 = 3 * 1/2 * 1/4 = 3/8.

AI explanation

The total number of balls is 12, so the probability of drawing a red ball is 1/2 and the probability of drawing a non-red ball is 1/2. Using the binomial probability formula for exactly one red ball in three draws, we calculate 3 multiplied by (1/2) multiplied by (1/2) squared, which equals 3/8.