youre having dinner at a restaurant that serves 5 kinds of pasta (spaghetti, bow ties, fettuccine, ravioli…

youre 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). if you randomly pick your kind of pasta and flavor, what is the probability that youll end up with something other than tomato spaghetti?

youre 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). if you randomly pick your kind of pasta and flavor, what is the probability that youll end up with something other than tomato spaghetti?

Answer

Explanation:

Step1: Calculate total combinations

The total number of pasta - flavor combinations is the product of the number of pasta types and the number of sauce flavors. There are 5 kinds of pasta and 4 flavors of sauce, so the total number of combinations is $5\times4 = 20$.

Step2: Determine number of non - desired outcomes

We want to find the probability of getting something other than tomato spaghetti. There is only 1 combination of tomato spaghetti. So the number of non - tomato spaghetti combinations is $20 - 1=19$.

Step3: Calculate probability

The probability $P$ of an event is the number of favorable outcomes divided by the total number of outcomes. So the probability of getting something other than tomato spaghetti is $\frac{19}{20}$.

Answer:

$\frac{19}{20}$