Question

In a group of people, some are in favor of a tax increase on rich people to reduce the federal deficit and others are against it. (Assume that there is no other outcome such as "no opinion" and "do not know.") Three persons are selected at random from this group and their opinions in favor or against raising such taxes are noted. How many total outcomes are possible?

Answer 1

There will be 8 possible outcomes.

Explanation:

(Assume that there is no other outcome such as "no opinion" and "do not know.")

3 persons are selected at random from this group and their opinions in favor or against raising such taxes are noted.

So, the number of possible outcomes are =
`2*2*2=8`

YYY, YYN, YNY, NYY, YNN, NNY, NYN, NNN

Y = Yes and N = No

Therefore, there will be 8 possible outcomes.