The question asks how many ways there are to roll a total of 9 using two six-sided dice. Let's solve this systematically.

Step-by-step solution:

1. Dice setup: Each die has six faces numbered 1 through 6. The sum of the two dice needs to equal 9.

2. Possible combinations:

   • If the first die rolls 3, the second die must roll 6 (3 + 6 = 9).
   • If the first die rolls 4, the second die must roll 5 (4 + 5 = 9).
   • If the first die rolls 5, the second die must roll 4 (5 + 4 = 9).
   • If the first die rolls 6, the second die must roll 3 (6 + 3 = 9).

3. Systematic listing:

   • (3, 6)
   • (4, 5)
   • (5, 4)
   • (6, 3)

4. Count the combinations: There are 4 combinations that result in a total of 9.

Final Answer:

There are 4 ways to roll a total of 9 on two six-sided dice.

Do you want further details or have any questions?
Here are 5 related questions for practice:

1. How many ways are there to roll a total of 7 using two six-sided dice?
2. How many total outcomes are there when rolling two six-sided dice?
3. What is the probability of rolling a total of 9 with two six-sided dice?
4. How many ways can you roll a total of 11 with two six-sided dice?
5. What are the possible sums when rolling two six-sided dice?

Tip: To solve problems like this, always list combinations systematically to ensure you don’t miss any possibilities.