Question

50 Points! Multiple choice algebra question. Photo attached.

A business owner needs to choose among four suppliers for trash removal. All of these suppliers offer the same service at the same price. How can the owner use a random-number app that chooses a random whole number from 1 to 1000, inclusive, to make a fair decision?
Thank you!

Answer 1

(B) 1–250, 251–500, 501–750, 751–1000

Explanation:

You want to know how to use a random number generator to make a fair decision among 4 suppliers.

Fair

The decision will be fair if each choice has the same probability. The probability of a given choice is the ratio of the numbers in its associated range to the total number of numbers (1000). If each choice is to have probability 1/4, then 1/4(1000) = 250 numbers must lie in each range.

The ranges of choice B have 250 numbers in each.

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Additional comment

The ranges also need to be mutually exclusive. Choice C has ranges that overlap. If the random number generator spit out number 218, choice C would have you select both supplier A and supplier B.

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