The problem asks to determine the number of ways to roll a total of 5 using two six-sided dice. Let's break this down systematically.

Step-by-step solution:

Each die has six sides with numbers: 1, 2, 3, 4, 5, and 6. We will systematically list all combinations where the sum of the two dice equals 5.

Dice Combinations:

• If the red die shows 1, the green die must show 4. → Combination: (1, 4)
• If the red die shows 2, the green die must show 3. → Combination: (2, 3)
• If the red die shows 3, the green die must show 2. → Combination: (3, 2)
• If the red die shows 4, the green die must show 1. → Combination: (4, 1)

Total:

There are 4 ways to roll a total of 5 on two dice.

Would you like further explanation or examples? Let me know! 😊

Related Questions:

1. How would the solution change if three dice were rolled instead of two?
2. What is the probability of rolling a total of 5 with two dice?
3. How many ways are there to roll a total of 7 with two dice?
4. Can this problem be generalized to an $n$-sided die?
5. What is the total number of outcomes when rolling two six-sided dice?

Tip:

When solving dice problems, start by listing possible outcomes and ensure no duplicates or omissions in your combinations!