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Chapter 4: Probability
Probability ,[object Object],[object Object],[object Object]
[object Object]
Example ,[object Object],[object Object]
Example ,[object Object]
[object Object],[object Object],[object Object]
Example ,[object Object],[object Object]
[object Object],[object Object]
Formula for Classical Probability – ,[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
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]
[object Object],[object Object]
[object Object],[object Object]
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]
Example: ,[object Object]
Example: ,[object Object]
Example: ,[object Object]
Addition Rule 2 ,[object Object],[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: 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]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Multiplication Rule 1 ,[object Object]
Example: ,[object Object]
Example: ,[object Object]
[object Object]
[object Object],[object Object]
Example: ,[object Object]
[object Object]
Conditional Probability ,[object Object]
Multiplication Rule 2 ,[object Object]
Example: ,[object Object],[object Object]
Example: ,[object Object],[object Object]
Example: ,[object Object],[object Object]
Example ,[object Object]
Example ,[object Object]
Example: ,[object Object]
Conditional Probability ,[object Object]
[object Object],[object Object]
Example: ,[object Object]
Example ,[object Object]
Example ,[object Object]
Example ,[object Object]
Example ,[object Object]
[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
[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]
Example: ,[object Object]
Example ,[object Object]
Example ,[object Object]
Example: ,[object Object]
Example: ,[object Object]
Example: ,[object Object]
Example: ,[object Object]
Fundamental Counting Rule ,[object Object]
Example ,[object Object]
Example: ,[object Object]
[object Object],[object Object],[object Object]
Factorial Rule ,[object Object]
Example: ,[object Object]
Example: ,[object Object]
Permutation ,[object Object]
Example ,[object Object]
[object Object]
Combination ,[object Object]
Combination Rule ,[object Object],[object Object]
Example: ,[object Object]
Example: ,[object Object]
Example: ,[object Object]
Example ,[object Object]
Example ,[object Object]
Example: ,[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]
Example: ,[object Object],[object Object]
Example: ,[object Object],[object Object]
Example: ,[object Object],[object Object]

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Chapter 4

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