You wish to conduct a small survey to determine how fans feel about an upcoming ticket price increase to support an addition to the city's pro football stadium.Each person surveyed can make one of three responses: favor, oppose, or neutral.You survey three people independently.How many possible combined outcomes are there from this survey?
A) 6
B) 9
C) An infinite number of possibilities
D) 27

Question

Quizplus · Accepted Answer

Since each of the three surveyed people can respond in one of three ways (favor, oppose, or neutral), and these choices are independent of each other, the total number of possible combined outcomes can be calculated using the rule of product. For each person, there are 3 choices, so for 3 people, the total number of combinations is $3^3 = 27$.

You Wish to Conduct a Small Survey to Determine How