Question

Using a Tree Diagram
The Roberts family is shopping for a new vehicle. They are considering a minivan or an SUV. Each vehicle has three models; standard, sport, or luxury. The family has decided that they want a red vehicle. Explain how to make a tree diagram to show their options. How many choices do they have?

Answer 1

Step 1: Start with a single root node labeled Vehicle.

Step 2: From the root draw two branches, one labeled Minivan and one labeled SUV.

Step 3: From each of those two branches draw three branches labeled Standard, Sport, and Luxury.

Step 4 (optional): Since they have already decided on red, you can either omit a color branch or add a final single branch labeled Red from each model to show the color choice applies to every model.

Counting the final leaves (models): 2 vehicle types × 3 models = 6 choices.
Explicitly those choices are:
- Minivan, Standard, Red
- Minivan, Sport, Red
- Minivan, Luxury, Red
- SUV, Standard, Red
- SUV, Sport, Red
- SUV, Luxury, Red