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 Medium with Pepperoni on top. Use the step-by-step process of creating a tree diagram and calculate possible probabilities. use a diagram 

Here is the tree diagram that outlines the pizza ordering process. It starts with three choices of pizza sizes: small, medium, and large. From each size, there are four options for toppings: cheese, pepperoni, sausage, and vegetarian.

### Step-by-Step Probability Calculation:

1. **Total number of combinations**: 
   - You have 3 choices for the pizza size and 4 choices for the topping.
   - Therefore, the total number of possible outcomes is \( 3 \times 4 = 12 \).

2. **Favorable outcome**: 
   - You want to choose a medium pizza with pepperoni topping, which is only 1 out of the 12 possible combinations.

3. **Probability**: 
   - The probability \( P(\text{Medium with Pepperoni}) \) is given by:
   \[
   P = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{1}{12}
   \]

The probability of getting a medium pizza with pepperoni is \( \frac{1}{12} \), or approximately 0.0833 (8.33%).

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the probability of getting a large pizza with sausage?
2. What is the probability of getting any pizza with vegetarian topping?
3. If you could add a new topping, how would that change the probability?
4. What is the probability of getting a small pizza, regardless of topping?
5. How would the probability change if one of the sizes was unavailable?

**Tip**: Tree diagrams help visualize all possible outcomes and are a great way to tackle probability problems step-by-step.

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 Medium with Pepperoni on top. Use the step-by-step process of creating a tree diagram and calculate possible probabilities.

Understand how to calculate the probability of ordering a medium pizza with pepperoni using a tree diagram. This problem introduces basic probability concepts, covering different size and topping combinations. Perfect for students in Grades 5-7.

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