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Chapter 2
Probability
Page 2
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Section 2.1
Sample Space
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Definition 2.1
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Figure 2.1 Tree diagram for Example 2.2
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Figure 2.2 Tree Diagram for Example 2.3
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Section 2.2
Events
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Definition 2.2
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Definition 2.3
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Definition 2.4
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Definition 2.5
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Definition 2.6
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Figure 2.3 Events represented by various regions
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Figure 2.4 Events of the sample space S
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Figure 2.5 Venn diagram for Exercises 2.19 and 2.20
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Section 2.3
Counting Sample Points
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Rule 2.1
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Figure 2.6 Tree diagram for Example 2.14
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Rule 2.2
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Definition 2.7
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Definition 2.8
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Theorem 2.1
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Theorem 2.2
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Theorem 2.3
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Theorem 2.4
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Theorem 2.5
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Theorem 2.6
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Section 2.4
Probability of an Event
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Definition 2.9
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Rule 2.3
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Section 2.5
Additive Rules
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Theorem 2.7
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Figure 2.7 Additive rule of probability
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Corollary 2.1
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Corollary 2.2
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Corollary 2.3
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Theorem 2.8
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Theorem 2.9
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Section 2.6
Conditional Probability, Independence, and the Product Rule
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Definition 2.10
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Table 2.1 Categorization of the Adults in a Small Town
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Definition 2.11
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Theorem 2.10
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Figure 2.8 Tree diagram for Example 2.37
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Theorem 2.11
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Figure 2.9 An electrical system for Example 2.39
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Theorem 2.12
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Definition 2.12
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Figure 2.10 Diagram for Exercise 2.92
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Figure 2.11 Diagram for Exercise 2.93
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Section 2.7Bayes’ Rule
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Figure 2.12 Venn diagram for the events A, E and E´
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Figure 2.13 Tree diagram for the data on page 63, using additional information on page 72
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Theorem 2.13
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Figure 2.14 Partitioning the sample space S
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Figure 2.15 Tree diagram for Example 2.41
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Theorem 2.14
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Section 2.8Potential Misconceptions and Hazards; Relationship to Material in Other Chapters