Answer:
outcomes for this sample space (under some considerations)
Step-by-step explanation:
Let's define the multiplication principle.
If a first part of an experiment can happen in n1 ways, a second part of an experiment can happen in n2 ways , . . . , a i - part of an experiment can happen in ni ways, then the total outcomes for the all the experiment are
(n1) x (n2) x ... x (ni)
In this exercise n1 = domestic
n1 is the total classes for domestic category
(Let's suppose n1 = 3 because of Chevrolet, Ford and Chrysler)
n2 = 1 (Also supposing we only have ''a Toyota built in Japan'' category for n2)
n3 = 1 (Also supposing we only have ''A Toyota built in Kentucky'' category for n3)
n4 = 4 (Also supposing we only have ''sedan,hatchback, truck or SUV'' category for n4
The possible outcomes for one person in the experiment are
![(Domestic).(ForeignBuiltAbrod).(ForeignBuiltInTheU.S).(Style)](https://tex.z-dn.net/?f=%28Domestic%29.%28ForeignBuiltAbrod%29.%28ForeignBuiltInTheU.S%29.%28Style%29)
Where what it is brackets are the possible categories for that classification.
![n1.n2.n3.n4=3.1.1.4=12](https://tex.z-dn.net/?f=n1.n2.n3.n4%3D3.1.1.4%3D12)
We have 20 different people then
are the possible outcomes sample space
In the sample space there are
outcomes if we consider that we have 3 types of domestic car, 1 type of foreign car built abroad,1 type of foreign car built in the U.S and 4 differents styles for this 20 different people.