If you randomly pick your kind of pasta and flavor, what is the probability that you'll end up with something other than tomato spaghetti?

Question

 

You're having dinner at a restaurant that serves
5 kinds of pasta (spaghetti, bow ties, fettuccine, ravioli, and macaroni) in
4 different flavors (tomato sauce, cheese sauce, meat sauce, and olive oil).

 

need help as fast as I can 

Answer 1

This problem involves the counting principle which allows you to calculate the total outcomes by multiplying the number of outcomes in each choice.  For this problem, you are picking 1 pasta and 1 flavor.

 

The number of favorable outcomes would be calculated by multiplying the number of pastas that are not spaghetti (4) by the number of flavors that are not tomato (3): 4x3=12

 

The total possible outcomes would be calculated by multiplying the pasta choices (5) by the flavor choices (4): 5x4=20

 

Probability is always the number of favorable outcomes over the total outcomes:

 

12/20 = 3/5 or 60%