D. \( \frac{1}{6} \) 3. Two number cubes are rolled. What is the probability that their sum is 6 ? A. \( 0 \frac{1}{12} \) B. \( 0 \frac{1}{3} \) C. \( \circ \frac{7}{18} \) D. \( \frac{5}{36} \)

When two number cubes are rolled, there are a total of 36 possible outcomes (6 faces on the first die multiplied by 6 faces on the second die). To find the probability of the sum being 6, we can enumerate the combinations: (1,5), (2,4), (3,3), (4,2), and (5,1). That gives us 5 successful outcomes. With 5 favorable outcomes and a total of 36 outcomes, the probability of rolling a sum of 6 is \( \frac{5}{36} \), which leads us to choice D. To make probabilities even more exciting, consider playing games like Liar's Dice or Craps. These games employ similar rolling mechanics and can deepen your understanding of chance and strategies behind successful bets – plus, they’re a fun way to unleash some friendly competition with friends! Another interesting aspect is how probability can drastically change game strategies. For instance, in board games like Monopoly, knowing the probabilities of sums from dice rolls can help you decide the best properties to buy or what routes to take. It shows that math isn't just about numbers—it's about making smarter decisions!