Two dice are thrown together .What is the probability that the sum of the…
2025
Two dice are thrown together .What is the probability that the sum of the number on the two faces is divisible by 4 or 6.
- A.
9/16
- B.
1/2
- C.
11/18
- D.
7/18
Attempted by 277 students.
Show answer & explanation
Correct answer: D
Solution: When two dice are thrown, there are 36 possible outcomes.
We need sums divisible by 4 or 6, i.e. sums 4, 6, 8, and 12.
Sum = 4: (1,3), (2,2), (3,1) → 3 outcomes
Sum = 6: (1,5), (2,4), (3,3), (4,2), (5,1) → 5 outcomes
Sum = 8: (2,6), (3,5), (4,4), (5,3), (6,2) → 5 outcomes
Sum = 12: (6,6) → 1 outcome
Total favorable outcomes = 3 + 5 + 5 + 1 = 14.
Probability = 14/36 = 7/18.