A pizza place sells five topping pizzas with the following options. Crust: Classic, Crispy Toppings: Extra cheese, pepperoni, sausage, onions, banana peppers, jalapenos, tomatoes, fresh herbs, mushrooms, black olives.
What is the probability that a customer will order a five topping pizza including onions, jalapenos, and tomatoes?
Explain how to do it in word please?
What is the probability that a customer will order a five topping pizza including onions, jalapenos, and tomatoes?
Explain how to do it in word please?
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Olio -
There are 2 types of crust and 10 types of toppings.
What is the probability that a customer will order a five topping pizza including onions, jalapenos, and tomatoes?
Let's look at the Numerator ...
3 topping have already been chosen so there are 7Choose2 = 21 ways to pick the other 2 toppings. Since the crust wasn't mentioned, there are also 2 ways to pick the crust.
In total, there are 21 x 2 = 42 ways to make a five topping pizza including onions, jalapenos, and tomatoes
Now, look at the Denominator ...
The denominator is the entire sample space of five topping pizzas. There are 10C5 = 252 ways to pick 5 toppings from 10. There are also 2 types of crust.
In total, the sample space equals 252 x 2 = 504 ways to make a 5 topping pizza.
P = 42 / 504 = 1/12
Hope that helps
There are 2 types of crust and 10 types of toppings.
What is the probability that a customer will order a five topping pizza including onions, jalapenos, and tomatoes?
Let's look at the Numerator ...
3 topping have already been chosen so there are 7Choose2 = 21 ways to pick the other 2 toppings. Since the crust wasn't mentioned, there are also 2 ways to pick the crust.
In total, there are 21 x 2 = 42 ways to make a five topping pizza including onions, jalapenos, and tomatoes
Now, look at the Denominator ...
The denominator is the entire sample space of five topping pizzas. There are 10C5 = 252 ways to pick 5 toppings from 10. There are also 2 types of crust.
In total, the sample space equals 252 x 2 = 504 ways to make a 5 topping pizza.
P = 42 / 504 = 1/12
Hope that helps