https://file.aiquickdraw.com/mathbot/file/17260290526201pll833a.jpg

The problem in the image involves creating a tree diagram to find the probability of ordering a pizza with specific characteristics: three different sizes (small, medium, large) and four different toppings (cheese, pepperoni, sausage, vegetarian). Specifically, you want to find the probability of getting a Medium pizza with Pepperoni on top.

### Step-by-Step Solution:

1. **Identify the options and outcomes**:
   - **Sizes**: Small, Medium, Large (3 options)
   - **Toppings**: Cheese, Pepperoni, Sausage, Vegetarian (4 options)

2. **Create the tree diagram**:
   - **First level**: Branch into three options for the pizza sizes: Small, Medium, and Large.
   - **Second level**: Each size branches into four toppings: Cheese, Pepperoni, Sausage, and Vegetarian.

3. **Calculate the total number of outcomes**:
   - There are 3 choices for size and 4 choices for toppings. 
   - Total outcomes = \( 3 \times 4 = 12 \).

4. **Probability of a specific outcome (Medium with Pepperoni)**:
   - There is only 1 branch that represents Medium with Pepperoni out of the 12 total outcomes.
   - Probability = \( \frac{1}{12} \).

### Conclusion:
The probability of getting a Medium pizza with Pepperoni is \( \frac{1}{12} \).

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Would you like more details or have any questions? Here are some related questions to consider:

1. How would the probability change if another size or topping option was added?
2. Can this tree diagram be used for more complex scenarios involving more options?
3. What would the probability be if the question asked for any pizza with Pepperoni, regardless of size?
4. How can we visualize the tree diagram to better understand the probabilities?
5. What other methods besides tree diagrams can be used to calculate these probabilities?

**Tip**: Tree diagrams are a great way to visually organize and calculate probabilities, especially when dealing with multiple stages or options!

You're ordering pizza from your favorite pizzeria, and they offer three different sizes (small, medium, large) and four different toppings (cheese, pepperoni, sausage, vegetarian). You want to know the probability of getting a Medium with Pepperoni on top. Use the step-by-step process of creating a tree diagram and calculate possible probabilities.

Learn how to calculate the probability of getting a Medium pizza with Pepperoni from a pizzeria offering 3 sizes and 4 toppings. This step-by-step guide uses a tree diagram to explain probability calculations. Suitable for students in Grades 9-10.

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