Posted by Honey on Thursday, May 24, 2012 at 12:03pm.
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 with a classic crust and extra cheese?
Give answer as %.

Algebra 2:)  MathMate, Thursday, May 24, 2012 at 12:29pm
NOTE: read through the interpretations of the question before deciding if the answer is applicable to you.
A classic crust is one choice out of three in the first step of the experiment. The probability for step 1 is therefore 1/3.
"Extra cheese, pepperoni, sausage, onions, banana peppers, jalapenos, tomatoes, fresh herbs, mushrooms, black olives "
gives a count of 10 toppings, assuming "banana peppers" is a single topping for the lack of comma.
Given that the customer chooses extra cheese, he has a choice of 4 more toppings out of the remaining 9 (assuming no repeated toppings allowed).
Number of choices of the remaining toppings is therefore
C(9,4)=9!/(5!4!)=126
Total number of choices of toppings is 2^10 (by choosing any combination, including nothing to everything).
So probability of choosing 5 toppings including extra cheese is 126/1024
Overall probability is the product of probabilities of the two steps, namely
P(classic,extra cheese+4 others)
=(1/3)(126/1024)
=21/512

Algebra 2  MathMate, Thursday, May 24, 2012 at 5:49pm
Sorry I have not noticed that the pizza place sells 5topping pizzas. The answer (in probability terms) will therefore be different.
See other post for details:
http://www.jiskha.com/display.cgi?id=1337879558

Algebra 2:)  AcellusSucks, Monday, September 9, 2013 at 7:20am
Answer => .25
Answer This Question
Related Questions
 Algebra  A pizza place sells five topping pizzas with the following options. ...
 Language  are the nouns in the following sentence, toppings, pepperoni, Italian...
 stats  A pizza can be made with any of the following toppings: cheese, ...
 math  Erica started her own pizza restaurant. She offers one type of crust, one...
 Statistics  Pine Pizza Palace sells pizza plain or with one or more of the ...
 math  Erica started her own pizza restaurant. She offers one type of crust, one...
 math  pepi's pizza has a choice of thin crust or thick crust. The available ...
 probability  A pizza shop offers nine toppings. No topping is used more than ...
 math  One weekend, there were 95 pizzas ordered for the sophomore dorm. That ...
 probability  A pizza shop offers nin toppings. No topping is used more than ...
More Related Questions