Multiple choice

Answer the following questions based on the statement given below: Two dice are rolled simultaneously. Find the probability of getting the sum of numbers on the two faces divisible by 3 or 4.

  1. 4/9

  2. 2/5

  3. 9/5

  4. 5/9

  5. 5/7
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total outcomes = 36. Sums divisible by 3: 3 (2 ways), 6 (5 ways), 9 (4 ways), 12 (1 way) = 12. Sums divisible by 4: 4 (3 ways), 8 (5 ways), 12 (1 way) = 9. But 12 counted twice. Total favorable = 12 + 9 - 1 = 20. Probability = 20/36 = 5/9. This tests counting outcomes and inclusion-exclusion principle.

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