Answer:
20
Explanation:
We are told that there are 3 types of cheese and 2 different types (sliced or shredded); therefore, the probablity of picking shredded ( probablity of 1/2) gouda (probablity of 1/3) is
[tex]\frac{1}{3}\cdot\frac{1}{2}=\frac{1}{6}[/tex]Now, if we pick 120 random cheeses, then the number of shredded gouda we expect to have are
[tex]\frac{1}{6}\cdot120[/tex][tex]=20[/tex]Hence, if Ryan buys 120 random cheeses for a large work party, we expect 20 of them to be shredded gouda.