Single correct option
Two fair dice are thrown together. What is the probability that the product of the numbers obtained is divisible by 3?
- A. 1/3
- B. 4/9
- C. 1/2
- D. 5/9
Show answer and solution
Answer: (D) 5/9
Total outcomes = 36. The product a×b is divisible by 3 unless neither a nor b is a multiple of 3. Numbers on a die that are NOT multiples of 3: {1,2,4,5}, i.e., 4 values, giving 4×4=16 outcomes where the product is not divisible by 3. So favourable outcomes = 36−16 = 20, and probability = 20/36 = 5/9.
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