Question

Two fair six-sided dice are thrown. The probability of getting \(12\) as the product of the numbers on the dice (rounded off to two decimal places) is __________________.

Hint:

- For product questions, list factor pairs within \(1\)–\(6\) and count ordered pairs.
- Always divide by \(36\) for two fair dice (ordered outcomes).

Answer 1

Correct Answer: 0.1

Step 1: Total outcomes \(=6\times6=36\).
Step 2: Favorable ordered pairs for product \(12\): \((2,6),(6,2),(3,4),(4,3)\Rightarrow 4\) outcomes.
Step 3: Probability \(=\dfrac{4}{36}=\dfrac{1}{9}\approx 0.111\Rightarrow 0.11\) (to two decimals).