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Chapter 4

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This document provides an overview of probability concepts including: - Classical probability which uses equally likely outcomes and sample spaces to calculate probabilities - Empirical probability which is based on observed frequencies - Addition and multiplication rules for calculating probabilities of independent and dependent events - Conditional probability which considers the probability of one event given that another has occurred Examples are provided to demonstrate calculating probabilities of simple and compound events.

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Chapter 4: Probability
Probability ,[object Object],[object Object],[object Object]
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Example ,[object Object],[object Object]
Example ,[object Object]
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Example ,[object Object],[object Object]
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Formula for Classical Probability – ,[object Object],[object Object],[object Object]
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Probability Rules ,[object Object],[object Object],[object Object],[object Object]
Complementary Events ,[object Object]
Example ,[object Object],[object Object],[object Object]
Example ,[object Object],[object Object],[object Object]
Rule for Complementary Events ,[object Object],[object Object],[object Object]
Examples ,[object Object],[object Object]
Classical vs. Empirical Probability ,[object Object]
Formula for Empirical Probability ,[object Object],[object Object],[object Object],[object Object]
Example: ,[object Object]
Example ,[object Object]
Law of Large Numbers ,[object Object]
Subjective Probability ,[object Object]
Example ,[object Object],[object Object],[object Object]
Example ,[object Object],[object Object]
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The Addition Rule for Probability ,[object Object]
Example: Mutual Exclusiveness ,[object Object],[object Object],[object Object]
Example: Mutual Exclusiveness ,[object Object],[object Object]
Addition Rule 1. ,[object Object],[object Object]
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Addition Rule 2 ,[object Object],[object Object],[object Object]
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Example: Titanic ,[object Object],[object Object],2223 45 64 422 1692 Total 1517 18 35 104 1360 Died 706 27 29 318 332 Survived Total Girls Boys Women Men Titanic Mortality
Example: Titanic ,[object Object],2223 45 64 422 1692 Total 1517 18 35 104 1360 Died 706 27 29 318 332 Survived Total Girls Boys Women Men Titanic Mortality
Example: Titanic ,[object Object],2223 45 64 422 1692 Total 1517 18 35 104 1360 Died 706 27 29 318 332 Survived Total Girls Boys Women Men Titanic Mortality
Example: Titanic ,[object Object],2223 45 64 422 1692 Total 1517 18 35 104 1360 Died 706 27 29 318 332 Survived Total Girls Boys Women Men Titanic Mortality
Example: Titanic ,[object Object],[object Object],2223 45 64 422 1692 Total 1517 18 35 104 1360 Died 706 27 29 318 332 Survived Total Girls Boys Women Men Titanic Mortality
Example ,[object Object],[object Object],[object Object],[object Object]
4-4 The Multiplication Rules and Conditional Probability ,[object Object]
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Multiplication Rule 1 ,[object Object]
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Conditional Probability ,[object Object]
Multiplication Rule 2 ,[object Object]
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Conditional Probability ,[object Object]
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Example ,[object Object]
Example ,[object Object]
Example ,[object Object]
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[object Object],[object Object],235 205 186 Others 17 25 16 Australia 15 16 28 China 28 28 32 Russia 33 25 39 United States Bronze Silver Gold
Example: ,[object Object]
Example: ,[object Object]
Example ,[object Object]
At Least One ,[object Object]
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Fundamental Counting Rule ,[object Object]
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Factorial Rule ,[object Object]
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Permutation ,[object Object]
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Combination ,[object Object]
Combination Rule ,[object Object],[object Object]
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Example: ,[object Object],[object Object]
Example: ,[object Object],[object Object]
Example: ,[object Object],[object Object]
Example: ,[object Object],[object Object]
Example: ,[object Object],[object Object]
Example: ,[object Object],[object Object]
Example: ,[object Object],[object Object]
Example: ,[object Object],[object Object]

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