
Concept explainers
Exercises 97-101 can be done as homework problems or in-class activities
a. Roll a single die twelve times, and compute the relative frequency with which you rolled a number below a 3.
b. Repeat the experiment described in part (a) seven more times. Each time, compute the relative frequency with which you rolled a number below a 3. After finishing parts (a) and (b), you will have rolled a die ninety-six times, and you will have computed eight different relative frequencies.
c. Discuss how your eight relative frequencies compare with each other and with the theoretical probability rolling a number below a 3. In your discussion, use the ideas discussed under the heading “Relative Frequency versus Probability” in this section. Do not plagiarize; use your own words.
d. Combine the results of parts (a) and (b), and find the relative frequency of rolling a number below a 3 for all ninety-six die rolls. Discuss how this relative frequency compares with those found in parts (a) and (b) and with the theoretic probability of rolling a number less than a 3. Be certain to incorporate the Law of large Numbers into your discussion.

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Chapter 3 Solutions
Mathematics: A Practical Odyssey
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