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a store sells three varieties of cheese—cheddar, gouda, and swiss. each…

Question

a store sells three varieties of cheese—cheddar, gouda, and swiss. each variety of cheese is available in two different styles—shredded or sliced. if ryan buys 120 random cheeses for a large work party, about how many of them would you expect to be shredded gouda?
60
40
24
20

Explanation:

Step1: Calculate total cheese - type combinations

$3$ varieties $\times2$ styles $ = 6$ combinations

Step2: Find probability of shredded Gouda

Probability $=\frac{1}{6}$

Step3: Calculate expected number

$120\times\frac{1}{6}=20$

Answer:

20