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Sara and her friends are enjoying a bag of candy-coated chocolates. Just for fun, they remove 80 pieces of candy from the bag to check their color. The outcomes are shown in the table.

Candy Color Number of Candies
brown or orange 25
green or yellow 28
red or blue 27

Which statement is true based on the results in the table?

A.
All of the outcomes are equally likely because their relative frequencies are similar.
B.
All of the outcomes are equally likely because the relative frequency of picking brown or orange candies is greater than that of picking green or yellow.
C.
All of the outcomes are not equally likely because there is a lot of variation in their relative frequencies.
D.
All of the outcomes are not equally likely because the relative frequency of picking green or yellow candies is the highest.
E.
All of the outcomes are not equally likely because the relative frequency of picking red or blue candies is less than that of picking green or yellow.

User Kanta
by
3.5k points

2 Answers

9 votes

Answer:

Option E

Explanation:

If she picked them randomly than the 80 she picked are a pretty good representation of the candies in the bag, we know that there are different amounts of each candy based on Sara's numbers. According to her results, there are more green or yellow candies than brown or orange so the odds are there are more green or yellow candies in the bag. Since there are different numbers of each candy, the odds of her picking a certain color is different than the others, so the outcomes are not equally likely. The answeres can now be C,D, or E. I think it's option E because to me it seems like the most accurate of the three.

User Fada
by
3.7k points
9 votes

Answer:

A

Explanation:

There doesn't appear to be any particular color that has several more than the other choices.

User GoldBishop
by
3.8k points