Chapter 2 Probability Copyright 2010 Pearson AddisonWesley All

Chapter 2 Probability Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Definition 2. 1 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 -2

Figure 2. 1 Tree diagram for Example 2. 2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 -3

Figure 2. 2 Tree Diagram for Example 2. 3 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 -4

Definition 2. 2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 -5

Definition 2. 3 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 -6

Definition 2. 4 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 -7

Definition 2. 5 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 -8

Definition 2. 6 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 -9

Figure 2. 3 Events represented by various regions Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 10

Figure 2. 4 Events of the sample space S Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 11

Figure 2. 5 Venn diagram for Exercises 2. 19 and 2. 20 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 12

Section 2. 3 Counting Sample Points Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Rule 2. 1 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 14

Figure 2. 6 Tree diagram for Example 2. 14 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 15

Rule 2. 2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 16

Definition 2. 7 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 17

Definition 2. 8 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 18

Theorem 2. 1 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 19

Theorem 2. 2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 20

Theorem 2. 3 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 21

Theorem 2. 4 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 22

Theorem 2. 5 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 23

Theorem 2. 6 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 24

Section 2. 4 Probability of an Event Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Definition 2. 9 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 26

Rule 2. 3 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 27

Section 2. 5 Additive Rules Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Theorem 2. 7 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 29

Figure 2. 7 Additive rule of probability Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 30

Corollary 2. 1 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 31

Corollary 2. 2 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 32

Corollary 2. 3 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 33

Theorem 2. 8 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 34

Theorem 2. 9 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 35

Section 2. 6 Conditional Probability, Independence, and the Product Rule Copyright © 2010 Pearson Addison-Wesley. All rights reserved.

Definition 2. 10 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 37

Table 2. 1 Categorization of the Adults in a Small Town Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 38

Definition 2. 11 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 39

Theorem 2. 10 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 40

Figure 2. 8 Tree diagram for Example 2. 37 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 41

Theorem 2. 11 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 42

Figure 2. 9 An electrical system for Example 2. 39 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 43

Theorem 2. 12 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 44

Definition 2. 12 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 45

Figure 2. 10 Diagram for Exercise 2. 92 Copyright © 2010 Pearson Addison-Wesley. All rights reserved. 2 - 46