Question

Find the sample space for the experiment.

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).

Answer 1

The sample space = {SSS, SSF, SFS, SFF, FSS, FSF, FFS, FFF}

Explanation:

When we say sample space, we mean the list of all possible outcome from an event. For this even of sales representative presenting at homes., only two outcome is possible. Whether:

1. the home(s) buys his product (S)

2. the home(s) did not buy his product (F).

Thus from three (3) homes, that will be:

==>
`2^(3)` = 2*2*2 = 8 possible outcomes.