The Nature of Mathematics, 12th Edition
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Chapter 13
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Section 13.1 Homework Hints

    Problems 1-3
    These problems are reviewing the basic ideas of probability. Make sure you can answer each of these questions (even if the problems are not assigned).
    Problems 4-7
    First, find the proportion of the circle included in each region.
    For example, A is one-third of the circle, F is one-half of the circle,
    black (Problem 7 ) is one-eighth of the circle.
    See Example 4.
    Problems 8-11
    Use the definition of probability, as shown in Example 6.
    Problem 12
    Count the balls in the jar as shown in Example 5
    Problems 13-22
    Use Table 13.1 for s and 2,598,960 for n, and use the definition of probability.
    Problems 23-24
    Divide the number of success by the number of possibilities, as shown in Example 8.
    Problems 25-26
    The word "and" means both and the word "or" means either. For example, can a single card be "both" a six and a two? Of course not! Can a single card be "either" a six or a two? Sure. To formulate the probability, write the number of success by the number of possibilities, as shown in Example 11.
    Problems 27-30
    First list the sample space (see Example 1) and then formulate the probability as shown in Example 2.
    Problems 31-36
    See Figure 13.5 to find the number of success and then divide by the number of possibilities (36) as shown in Example 9.
    Problems 37-39
    Remember the meaning of the words "and" and "or". See Examples 9 and 11.
    Problems 40-47
    List the sample space for the spinners as shown in Example 7. Next, note the success and the total number of possibilities to find the probability by using the definition.

    Note: Homework Hints are given only for the Level 1 and Level 2 problems.

    However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3 problems, check some sources for help on the internet (see the LINKS for that particular section. As a last resort, you can call the author at (707) 829-0606.

    On the other hand, the problems designated "Problem Solving" generally require techniques that do not have textbook examples.

    There are many sources for homework help on the internet.

    Algebra.help
    Here is a site where technology meets mathematics. You can search a particular topic or choose lessons, calculators, worksheets for extra practice or other resources.
    http://www.algebrahelp.com/

    Ask Dr. Math
    Dr. Math is a registered trademark. This is an excellent site at which you can search to see if your question has been previously asked, or you can send your question directly to Dr. Math to receive an answer.
    http://mathforum.org/dr/math/
    Quick Math
    This site provides online graphing calculators. This is especially useful if you do not have your own calculator.
    http://www.quickmath.com/

    The Math Forum @ Drexel
    This site provides an internet mathematics library that can help if you need extra help. For additional homework help at this site, click one of the links in the right-hand column.
    http://mathforum.org/

    Mathematics Home Page
    Access the Clemens and Alcuins Library of CSB/SJU and find one of the world's best collections of mathematical internet sites.
    http://library.csbsju.edu/rqs.phtml?subject_id=32

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