The tree diagram in the image outlines the combinations of background and text colors for Lisa's greeting card design. Based on the options provided:

• Background colors: Red, Orange, Green
• Text colors: Black, Brown

For each background color, there are two options for text color, resulting in $3 \times 2 = 6$ combinations.

Sample Space of All Combinations

The combinations are:

1. (Red, Black)
2. (Red, Brown)
3. (Orange, Black)
4. (Orange, Brown)
5. (Green, Black)
6. (Green, Brown)

This matches the first option: $\{(Red, Black), (Red, Brown), (Orange, Black), (Orange, Brown), (Green, Black), (Green, Brown)\}$

Thus, the correct answer is the first option.

Do you want a breakdown of how to interpret tree diagrams? Here are some follow-up questions to deepen understanding:

1. How is the total number of combinations calculated in a tree diagram?
2. How would the sample space change if another text color was added?
3. What happens if we add another background color option to the diagram?
4. How can the tree diagram be used to calculate probabilities for random selection?
5. What is the importance of listing the sample space in probability problems?

Tip: Use tree diagrams to visualize all possible outcomes clearly for problems involving multiple options!