### Home > CCG > Chapter 3 > Lesson 3.2.1 > Problem 3-56

When you list

*all*of the possible outcomes in a sample space by following an organized system (an orderly process), it is called a

**systematic list**. There are different strategies that may help you make a systematic list, but what is most important is that you methodically follow your system until it is complete. Homework Help ✎

To get home, Renae can take one of four buses: #

Create the sample space of all the possible ways Renae can get home and do one activity by making a systematic list.

Write the possibilities in an organized way so that you don't skip any.

Bus #

MP3 Player

Bus #Letter

Bus #Book Use your sample space to find the following probabilities:

Find the numerator by counting from your systematic list.

P(Renae takes an odd-numbered bus)

P(Renae does not write a letter)

P(Renae catches the #

bus and then reads a book)

Does her activity depend on which bus she takes? Explain why or why not.

Look at your list. Do the possible activities change depending on which bus she takes?