Question

Pete's Pizza Parlor sells pizzas with two different types of crust (thin and hand-tossed) in three different flavors (cheese, pepperoni, and sausage). Create a tree diagram that represents the sample space of possible pizza orders.

Answer 1

The top tree correctly represents the sample space

Explanation:

At the "root" of our tree, we can either have three branches for each of the flavors, or two branches for each of the types of crust. Here's how each of those branches continue:

• If we start with the three branches for flavors, each branch will have two more branches for the types of crust. Working down the tree, I could start by choosing the pepperoni branch, and then continue to choose either thin or hand-tossed crust.
• If we start with the two branches for crusts, each branch will have three more branches for the flavors. This option is represented as the first tree in the image, and in this case would be the correct choice.