Question

Twenty percent of candies in a package are red. The rest are another color.

Simulate randomly checking 20 packages for red candies using these randomly generated digits. Let the digits 1 and 2 represent a red candy.

91027 18200 74536 83514

Approximately how many red candies will be in the packages?

Answer 1

5

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Answer 2

5

Explanation:

Among the 20 digits shown, each digit appears in the list twice except 0 and 1 appear 3 times and 6 and 9 appear once. That means ...

• 1 appears 3 times
• 2 appears 2 times

So, if 1 and 2 represent red candies, there are 3+2 = 5 red candies in the simulated random sample of 20 candies.

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Comment on the question

The simulation makes sense only if it represents taking a single candy from each of 20 packages (of unknown quantity of candies). That is, it seems we cannot answer the question, "how many red candies will be in the packages?" We can only answer the question, "how many of the simulated candies are red?"