A pizza restaurant sells two different crusts (regular and thin-crust) and three different toppings (pepperoni, sausage, and bell peppers). Draw an area model to represent the situation. Then use your area model to find the probability a random customer in the pizza restaurant would order a thin-crust pizza with pepperoni or sausage.
A pizza restaurant sells two different crusts (regular and thin-crust) and three different toppings (pepperoni, sausage, and bell peppers). Draw an area model to represent the situation. Then use your area model to find the probability a random customer in the pizza restaurant would order a thin-crust pizza with pepperoni or sausage.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:**Problem Description:**
A pizza restaurant sells two different crusts (regular and thin-crust) and three different toppings (pepperoni, sausage, and bell peppers). Draw an area model to represent the situation. Then use your area model to find the probability a random customer in the pizza restaurant would order a thin-crust pizza with pepperoni or sausage.
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**Solution Steps:**
1. **Create an Area Model:**
- Draw a grid with two rows and three columns.
- Label the rows with the two crust options: "Regular" and "Thin-crust."
- Label the columns with the three topping options: "Pepperoni," "Sausage," and "Bell Peppers."
2. **Calculate the Total Options:**
- There are a total of 2 crusts x 3 toppings = 6 combinations.
3. **Identify the Favorable Outcomes:**
- Identify the thin-crust pizzas with pepperoni.
- Identify the thin-crust pizzas with sausage.
- There are 2 favorable outcomes (thin-crust with pepperoni, thin-crust with sausage).
4. **Calculate the Probability:**
- Probability of selecting a thin-crust pizza with pepperoni or sausage = favorable outcomes / total outcomes = 2/6 = 1/3.
The probability that a random customer would order a thin-crust pizza with pepperoni or sausage is 1/3.
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