### Home > GC > Chapter 4 > Lesson 4.2.1 > Problem 4-51

When a list is created by following a system (an orderly process), it is called a systematic list. Using a systematic list to answer questions involving probability can help you determine all of the possible outcomes. 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. For the problem below, create a systematic list. Be prepared to share your

**strategy**.

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

List all the possible ways Renae can get home. Use a systematic list to make sure you find all the combinations of a bus and an activity.

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

Bus

MP3 Player

BusLetter

BusBook Use your list 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.