Question
A pizza shop offers a special on a 2-topping pizza from a list of four items. The chart below shows all possible pizza combinat If a person randomly chooses the items on his pizza, what is the probability he chooses a pizza with sausage and pepperoni? (1)/(16) (1)/(8) (1)/(4) (1)/(2)
Solution
3.4
(322 Votes)
Kiera
Master ยท Tutor for 5 years
Answer
###
Explanation
## Step 1: Identify the Total Number of Combinations### The table shows all possible combinations of two toppings from a list of four items (Pepperoni, Ham, Sausage, Olives). Each combination is represented by a unique code. There are 4 rows and 4 columns of combinations, making a total of
possible combinations.## Step 2: Identify the Desired Combination### We need to find the probability of choosing a pizza with both sausage and pepperoni. From the table, the code for this combination is "SP" (Sausage + Pepperoni).## Step 3: Count the Occurrences of the Desired Combination### In the table, there is only one cell that contains the code "SP". Therefore, there is only one occurrence of the desired combination.## Step 4: Calculate the Probability### The probability of randomly choosing a pizza with sausage and pepperoni is the number of favorable outcomes divided by the total number of possible outcomes. This can be calculated as follows: