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

3-56.

pictureWhen 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: #, #, #, or #. Once she is on a bus, she will randomly select one of the following equally likely activities: listening to her MP3 player, writing a letter, or reading a book.

  1. 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

  2. Use your sample space to find the following probabilities:

    Find the numerator by counting from your systematic list.

    1. P(Renae takes an odd-numbered bus)

    2. P(Renae does not write a letter)

    3. P(Renae catches the # bus and then reads a book)

  3. 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?