Question
A pizza shop offers a special on a 2-topping pizza from a list of four items. The chart below shows all possi Pizza Topping 1 If a person randomly chooses the items on his pizza, what is the probability he chooses a pizza with sausage (1)/(16) (1)/(8) (1)/(4) (1)/(2)
Solution
4.3
(198 Votes)
Nadia
Master ยท Tutor for 5 years
Answer
###
Explanation
## Step 1: Determine Total Possible Combinations### The table shows all possible combinations of two toppings from a list of four items: Pepperoni, Ham, Sausage, and Olives. Since each topping can pair with itself or any other topping, the total number of combinations is
.## Step 2: Identify Combinations Involving Sausage### We need to count how many of these combinations include Sausage. From the table:- Sausage & Pepperoni: "SP"- Sausage & Ham: "SH"- Sausage & Sausage: "SS"- Sausage & Olives: "SO"- Pepperoni & Sausage: "PS"- Ham & Sausage: "HS"- Olives & Sausage: "OS"### There are 7 combinations involving Sausage.## Step 3: Calculate Probability### The probability of choosing a pizza with Sausage is the number of favorable outcomes (combinations involving Sausage) divided by the total number of possible combinations.