To solve this problem, I need to find all possible combinations of pizza crust and toppings using a tree diagram.
Step 1: Identify the categories and options
*
Crust: thick, thin (2 options)
*
Toppings: cheese, sausage, mushroom, pepperoni (4 options)
Step 2: Build the tree diagram
The first level of branches represents the crust choices. The second level of branches represents the topping choices for each crust.
*
Branch 1 (Thick Crust):
* Thick + Cheese
* Thick + Sausage
* Thick + Mushroom (already shown in image)
* Thick + Pepperoni
*
Branch 2 (Thin Crust):
* Thin + Cheese
* Thin + Sausage
* Thin + Mushroom
* Thin + Pepperoni (already shown in image)
Step 3: Count the total combinations
Since there are 2 crusts and 4 toppings for each crust, I multiply:
2 × 4 = 8 total combinations.
Let me verify by listing them all:
1. Thick + Cheese
2. Thick + Sausage
3. Thick + Mushroom
4. Thick + Pepperoni
5. Thin + Cheese
6. Thin + Sausage
7. Thin + Mushroom
8. Thin + Pepperoni
Total = 8 combinations. This matches my calculation.
Final Answer:
Total possible combinations: 8
Parent Tip: Review the logic above to help your child master the concept of probability tree worksheet.
