Multiple choice

Two die are thrown find the probability of getting the sum of the numbers on their upper faces divisible by 9.

  1. $\displaystyle \frac{1}{9}$
  2. $\displaystyle \frac{2}{9}$
  3. $\displaystyle \frac{1}{3}$
  4. $\displaystyle \frac{4}{9}$
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A Correct answer
Explanation

Total outcomes when throwing two dice is 36. Sums divisible by 9 are 9 (pairs: 3,6; 4,5; 5,4; 6,3) and 18 (none). There are 4 favorable outcomes. Probability = 4/36 = 1/9.

AI explanation

The total sample space for rolling two dice has 36 outcomes. The sums that are divisible by 9 are exactly 9 and 18, which are achieved by the pairs (3,6), (4,5), (5,4), (6,3), and (6,6), yielding 4 favorable outcomes. Using the classical probability formula, the probability is 4 divided by 36, which simplifies to 1/9.

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