2. Probability

Sections

Navigate through the learning materials and practice exercises.

1. 1

   Introduction

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   This section introduces the basics of probability, including its importance...

2. 2

   Key Concepts & Vocabulary

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   This section introduces foundational probability concepts such as...

3. 2.1

   Experiment / Trial

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   An experiment or trial involves a process with uncertain outcomes, which...

4. 2.2

   Outcome

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   This section discusses outcomes in probability, explaining their...

5. 2.3

   Sample Space (S)

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   The sample space represents the complete set of all possible outcomes for a...

6. 2.4

   Event

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   This section introduces the concept of events in probability, explaining...

7. 2.5

   Probability (P)

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   This section introduces the fundamental concepts of probability, its types,...

8. 3

   Defining Probability

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   This section provides a comprehensive overview of probability, covering...

9. 3.1

   Classical (Theoretical) Probability

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   Classical probability deals with the likelihoods of events occurring in...

10. 3.2

    Empirical (Experimental) Probability

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    Empirical probability is determined through observation and experimentation...

11. 3.3

    Subjective Probability

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    Subjective probability is based on personal judgment and experience rather...

12. 4

    Properties Of Probability

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    This section focuses on the key properties of probability, including...

13. 5

    Venn Diagrams

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    Venn diagrams are visual tools that illustrate relationships between...

14. 6

    Worked Example

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    This section presents a worked example demonstrating how to calculate...

15. 7

    Conditional Probability

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    This section focuses on conditional probability, exploring how the...

16. 8

    Independent Events

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    Independent events are those whose occurrence does not affect each other's...

17. 9

    Mutually Exclusive Vs Independent

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    This section explores the differences between mutually exclusive events and...

18. 10

    Bayes’ Theorem (Introductory)

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    Bayes’ Theorem provides a way to update the probability of an event based on...

19. 11

    Probability Distributions (Discrete)

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    This section covers discrete probability distributions, explaining how...

20. 12

    Binomial Probability (Basic Intro)

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    This section introduces the concept of binomial probability, focusing on...

21. 13

    Common Pitfalls

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    This section highlights common misconceptions and mistakes related to probability.

22. 14

    Exercises (Examples)

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    This section presents exercises related to probability concepts, including...

23. 14.1

    Exercise 1

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    This section introduces basic probability concepts through various exercises...

24. 14.2

    Exercise 2

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    Exercise 2 focuses on practical applications of probability concepts through...

25. 14.3

    Exercise 3

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    This section presents exercises that apply the concepts of probability...

26. 15

    Summary

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    This section covers the essential concepts of probability, highlighting how...