When two dice are thrown simultaneously, find the probability of getting both…
2025
When two dice are thrown simultaneously, find the probability of getting both the numbers which are divisible by 3?
- A.
1/9
- B.
1/2
- C.
1/12
- D.
1/6
Attempted by 30 students.
Show answer & explanation
Correct answer: A
Key idea: use independence of dice or count outcomes.
Method 1 (multiplication rule): Each die has two faces divisible by 3 (3 and 6), so the probability for one die is 2/6 = 1/3. Since the dice are independent, the probability both are divisible by 3 is (1/3) × (1/3) = 1/9.
Method 2 (counting outcomes): There are 6 × 6 = 36 equally likely ordered pairs. Favorable pairs are (3,3), (3,6), (6,3), (6,6), so 4 favorable outcomes. Probability = 4/36 = 1/9.
Answer: 1/9