In a pizza store, you can choose from 3 sizes, 4 sauces, 5 toppings and 3 cheeses. What is the probability that the purchased pizza is large with a choice of a sauce, 3 toppings, and 2 cheeses?

The answer is 0.6667 but how?

Question

In a pizza store, you can choose from 3 sizes, 4 sauces, 5 toppings and 3 cheeses. What is the probability that the purchased pizza is large with a choice of a sauce, 3 toppings, and 2 cheeses?

The answer is 0.6667 but how?

anonymous · Answer

are you sure the answer is O.6667? that seems like you got it from a calculater

anonymous · Answer

It's from a review session I attended but I forgot how the instructor solved it.

anonymous · Answer

oh so is there a recording of it?

anonymous · Answer

or something that you can do? because i dont really know how to solve this :/ sorry

anonymous · Answer

I only have a picture of the slide haha. It's cool, thanks anyway

anonymous · Answer

ok yeah sorry that i cant help you but good luck

kittiwitti1 · Answer

I suck at probability but maybe @Directrix can help you :)

mrnood · Answer

I don't think that answer can be correct.

To start with - there is 1/3 chance that it is LArge

i.e 0.3333 probabilty

when you add OTHER options the probability of any particular combination get LESS, so the answer must be less than 0.3333...

directrix · Answer

Large    Sauce     Toppings     Cheeses
1/3     *   1/4   *    3/5       *    2/3       =    not .667 or 2/3

Check to see if you posted the problem correctly.

As it stands, I agree with @MrNood