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:

To create the tree diagram, start with two branches representing the styles of vehicle (minivan and SUV). From each of those two branches, draw three branches to representing the models (standard, sport, and luxury). Since the family has already decided on the color red, it does not need to be represented as a separate set of branches. In total, there are 6 possible choices (2 styles multiplied by 3 models).