Question

Jane wants to order a pizza and she knows what toppings she wants. She cannot decide what type of crust or sauce to choose. Make a sample space of her options if the choices are thin crust and thick crust, and she can choose from marinara sauce, pesto sauce, or alfredo sauce. How many different outcomes does she have to choose from?

A) 3
B) 5
C) 6

D) 12

Answer 1

Jane has 6 different outcomes to choose from for her pizza crust and sauce, by combining each of the 2 crust options with each of the 3 sauce options. Hence, the correct option is C) 6.

Step-by-step explanation:

To determine the number of different outcomes Jane has to choose from for her pizza crust and sauce options, we can create a sample space which shows all possible combinations. She has two crust options: thin crust and thick crust, and three sauce options: marinara sauce, pesto sauce, and alfredo sauce.

By pairing each crust option with each sauce option, we can list out the sample space as follows:

• Thin Crust with Marinara Sauce
• Thin Crust with Pesto Sauce
• Thin Crust with Alfredo Sauce
• Thick Crust with Marinara Sauce
• Thick Crust with Pesto Sauce
• Thick Crust with Alfredo Sauce

So there are 6 different outcomes that Jane can choose from, which corresponds to option C).

Answer 2

Your answer is B) 5.
tc(thin crust) TC(Thick Crust): tc-Marinar, tc-pesto, tc-alfredo, TC-Marinara, TC-pesto, and TC-alfredo.
Hope this helps.