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Conditional Probability

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Conditional Probability

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    1. Conditional Probability 3-1

    2. Conditional Probability 3-2 3.1 Conditional Probability Definition If P(B) > 0, the conditional probability of A given B, defined by P(A|B), is

    3. Conditional Probability 3-3 Example 3.1

    4. Conditional Probability 3-4 Example 3.2

    5. Conditional Probability 3-5 Example 3.3

    6. Conditional Probability 3-6 Example 3.4

    7. Conditional Probability 3-7 Example 3.5

    8. Conditional Probability 3-8 Theorem 3.1

    9. Conditional Probability 3-9 Reduction of Sample Space

    10. Conditional Probability 3-10 Example 3.6

    11. Conditional Probability 3-11 Example 3.7

    12. Conditional Probability 3-12 Example 3.8

    13. Conditional Probability 3-13 Properties Summary

    14. Conditional Probability 3-14 3.2 Law of Multiplication

    15. Conditional Probability 3-15 Example 3.9

    16. Conditional Probability 3-16 Theorem 3.2

    17. Conditional Probability 3-17 Example 3.10

    18. Conditional Probability 3-18 Example 3.11

    19. Conditional Probability 3-19 3.3 Law of Total Probability

    20. Conditional Probability 3-20 Example 3.12

    21. Conditional Probability 3-21 Example 3.13

    22. Conditional Probability 3-22 Example 3.14 (Gamblers Ruin Problem)

    23. Conditional Probability 3-23 Example 3.14 (Gamblers Ruin Problem)

    24. Conditional Probability 3-24 Definition of Partition

    25. Conditional Probability 3-25 Theorem 3.4:Law of Total Prob.

    26. Conditional Probability 3-26 Example 3.15

    27. Conditional Probability 3-27 Example 3.16

    28. Conditional Probability 3-28 Example 3.17

    29. Conditional Probability 3-29 3.4 Bayes Formula

    30. Conditional Probability 3-30 Example 3.18

    31. Conditional Probability 3-31 Example 3.19

    32. Conditional Probability 3-32 Example 3.20

    33. Conditional Probability 3-33 Example 3.21

    34. Conditional Probability 3-34 3.5 Independence

    35. Conditional Probability 3-35 Independence of Three Events

    36. Conditional Probability 3-36 Independence of n Events

    37. Conditional Probability 3-37 Example 3.22

    38. Conditional Probability 3-38 Example 3.23

    39. Conditional Probability 3-39 Example 3.24

    40. Conditional Probability 3-40 Example 3.25

    41. Conditional Probability 3-41 Example 3.26

    42. Conditional Probability 3-42 Theorem 3.6

    43. Conditional Probability 3-43 Example 3.27

    44. Conditional Probability 3-44 Example 3.28 (Jailers Paradox)

    45. Conditional Probability 3-45 Example 3.29

    46. Conditional Probability 3-46 Example 3.30

    47. Conditional Probability 3-47 Example 3.31

    48. Conditional Probability 3-48 Example 3.32

    49. Conditional Probability 3-49 Example 3.33

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