Experimental Probability Quick Check

Question

5 of 55 of 5 Items
Question
Use the table to answer the question.

Type of Pizza Number of Patrons
Cheese 9
Pepperoni 5
Sausage 6
Veggie 7
A local marching band is having a pizza fundraiser. To predict what types of pizza to order, they surveyed patrons on their favorite toppings. If the marching band were to sell 1,299 slices of pizza, predict the number of cheese slices sold.

(1 point)
Responses

325 students
325 students

241 patrons
241 patrons

650 patrons
650 patrons

433 patrons

Answer 1

To predict the number of cheese slices sold, we will use the experimental probability based on the number of patrons who preferred cheese pizza compared to the total number of patrons surveyed.

First, let's calculate the total number of patrons surveyed:

Total patrons = Cheese + Pepperoni + Sausage + Veggie Total patrons = 9 + 5 + 6 + 7 = 27

Now, we calculate the probability of a patron preferring cheese pizza:

Probability of cheese = Number of cheese patrons / Total patrons Probability of cheese = 9 / 27 = 1/3

Now, to predict how many cheese slices will be sold out of 1,299 slices:

Predicted cheese slices = Total slices × Probability of cheese Predicted cheese slices = 1,299 × (1/3) = 1,299 / 3 = 433

So, the predicted number of cheese slices sold is 433 patrons.