Short Answer 
The total possible outcomes when rolling two dice is 36. The probabilities for specific sums are calculated as follows: at least 9 has a probability of 10/36, exactly 7 is 6/36, and less than or equal to 6 is 15/36. Based on these calculations, the correct option aligns with option (c).
Step 1: Understanding Possible Outcomes
When rolling two dice, each die can land on any of its 6 faces, resulting in a total of 36 possible outcomes (6 x 6). This basic knowledge is crucial as it serves as the denominator when calculating probabilities for various sums. Identifying all these outcomes helps establish a foundation for further calculations.
Step 2: Calculating Probabilities for Different Sums
To determine the probabilities for specific sums, analyze the pairs that yield these sums. For example:
- At least 9: The outcomes include pairs like (3,6) and (6,6). There are 10 such outcomes, leading to a probability of 10/36.
- Exactly 7: The pairs include (1,6) and (6,1), totaling 6 outcomes, giving a probability of 6/36 or 1/6.
- Less than or equal to 6: Pairs like (1,1) and (2,3) add up to 15 outcomes, resulting in a probability of 15/36.
Step 3: Final Comparison and Conclusion
After calculating these probabilities, they can be compared to determine the correct option. The results are:
- At least 9: 10/36
- Exactly 7: 6/36
- Less than or equal to 6: 15/36
These values closely match option (c), confirming it as the correct answer based on the calculated probabilities.