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A spinner has 4 equally sized sectors that are numbered 1, 3, 8 and 8. The spinner is spun twice and the product of the outcomes is found.

A fair decision is to be made about which one of 4 side dishes will be prepared.

The side dish options are creamed corn, scalloped potatoes, rice pilaf and coleslaw.

Which description accurately explains how a fair decision can be made in this situation?

 

a. If the product is 64, creamed corn will be prepared. If the product is 9, scalloped potatoes will be prepared. If the product is 8, coleslaw will be prepared. If the product is 1, 3 or 24, rice pilaf will be prepared.

b. If the product is 64, creamed corn will be prepared. If the product is 24, scalloped potatoes will be prepared. If the product is 8, coleslaw will be prepared. If the product is 1, 3 or 9, rice pilaf will be prepared.

c. If the product is 64, creamed corn will be prepared. If the product is 24, scalloped potatoes will be prepared. If the product is 9, coleslaw will be prepared. If the product is 1, 3 or 8, rice pilaf will be prepared.

d. If the product is 3, creamed corn will be prepared. If the product is 24, scalloped potatoes will be prepared. If the product is 8, coleslaw will be prepared. If the product is 1, 9 or 64, rice pilaf will be prepared.

 May 14, 2021
 #1
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There are 4 ways to get a product of 64:  either of the two eights on the first spinner and either of the two eights on the second spinner.

 

There are 4 ways to get a product of 24: a three on the first spinner and either of the two eights on the second spinner or either of the two eights on the first spinner and a three on the second spinner.

 

There are 4 ways to get a product of 8: a one on the first spinner and either of the two eights on the second spinner or either of the two eights on the first spinner and a one on the second spinner.

 

There are 2 ways to get a product of 3: a one on the first spinner and a three on the second spinner or a three on the first spinner and a one on the econd spinner.

 

There is 1 way to get a product of 9: a three on the first spinner and a three on the second spinner.

 

There is 1 way to get a prodeuct of 1: a one on the first spinner and a one on the second spinner.

 

Therefore, the answer is b.

 May 14, 2021

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