Multiple choice

A die marked with numbers $1,2,2,3,3,3$ is rolled three times. Find the probability of occurrence of $1,2$ and $3$ respectively

  1. $1/12$
  2. $1/6$
  3. $1/36$
  4. $1/24$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Die faces: 1, 2, 2, 3, 3, 3. Probabilities: P(1)=1/6, P(2)=2/6=1/3, P(3)=3/6=1/2. Probability of (1, 2, 3) in that order = (1/6) * (1/3) * (1/2) = 1/36.

AI explanation

Using the multiplication rule for independent events, the probability is (1/6) times (2/6) times (3/6). Multiplying these fractions gives 6/216, which simplifies to 1/36.

Keep practicing — related questions