Question

A sales representative makes presentations about a product in three homes per day. In each home, there may be a sale (denote by S) or there may be no sale (denote by F).

Determine the sample space for the experiment.

Answer 1

Sample Space = {SSS,SSF,SFF,SFS,FSS,FSF,FFS,FFF}

Explanation:

Given a sale representative makes presentations about a product in three homes per day.

In each home, Sale is denoted by S and No Sale is denoted by F.

Now the cases for required sample space will be :

1. Sale in first home, Sale in second home and Sale in third home.
2. Sale in first home, Sale in second home and No Sale in third home.
3. Sale in first home, No Sale in second home and No Sale in third home.
4. Sale in first home, No Sale in second home and Sale in third home.
5. No Sale in first home, Sale in second home and Sale in third home.
6. No Sale in first home, Sale in second home and No Sale in third home.
7. No Sale in first home, No Sale in second home and Sale in third home.
8. No Sale in first home, No Sale in second home and No Sale in third home.

So our Required sample space for the experiment

= {SSS,SSF,SFF,SFS,FSS,FSF,FFS,FFF}.