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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 2.7

Bayes’ 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