According to the official M&M website, 24% of the plain milk chocolate M&M's produced by Mars Corporation are blue. Annie buys a large family-size bag of M&M's. Sarah buys a small fun-size bag. Which bag is more likely to have more than 40% blue M&M's?

a. Annie, because there are more M&M's in her bag, so she will have more blue ones.

b. Annie, because there is more variability in the proportion of blues among larger samples.

c. Sarah, because there is more variability in the proportion of blues among smaller samples.

d. Both have the same chance because they are both random samples.

Question

Krystal Hickman

Mathematics

19 October, 11:38

According to the official M&M website, 24% of the plain milk chocolate M&M's produced by Mars Corporation are blue. Annie buys a large family-size bag of M&M's. Sarah buys a small fun-size bag. Which bag is more likely to have more than 40% blue M&M's?

a. Annie, because there are more M&M's in her bag, so she will have more blue ones.

b. Annie, because there is more variability in the proportion of blues among larger samples.

c. Sarah, because there is more variability in the proportion of blues among smaller samples.

d. Both have the same chance because they are both random samples.

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Answers (1)

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Adolfo Campos · Answer 1

d. Both have the same chance because they are both random samples.

Step-by-step explanation:

Regardless of the size of the candy bag, there is no way to elaborate over 40% of blue m&ms when we don't even know how many are inside each bag. the 24% is based on the company production and it does not mean that a bigger or smaller bag will have an increase in blue m&m's.