Two fair dice, each numbered 1 to 6, are rolled together. What is the probability that the product of the two numbers obtained is 12?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(\frac{1}{9}\)
Each die has 6 faces, so two dice give \(6\times6=36\) equally likely ordered pairs (first die, second die). Count the pairs whose product is 12; a pair and its reverse are different outcomes.
Pairs with product 12: (2, 6), (3, 4), (4, 3), (6, 2), that is, 4 pairs
Probability \(\displaystyle =\frac{4}{36}=\frac{1}{9}\)