ICSE Class 12 Mathematics | 4. Probability by Abraham | Learn Smarter
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4. Probability

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Sections

  • 4

    Probability

    This section covers the fundamental concepts of probability, including random experiments, events, theorems, conditional probability, and their applications.

    Learning Practice

  • 4.1

    Introduction

    This section introduces probability as a mathematical branch dealing with chances of events occurring.

    Learning Practice

  • 4.2

    Key Concepts Covered

    This section covers foundational concepts in probability including random experiments, types of events, and key theorems such as Bayes' theorem.

    Learning Practice

  • 4.2.1

    Random Experiment And Sample Space

    This section introduces the concepts of random experiments and sample spaces, laying the foundation for understanding probability.

    Learning Practice

  • 4.2.2

    Events And Types Of Events

    This section introduces the concept of events in probability, including definitions and classifications like simple, compound, and complementary events.

    Learning Practice

  • 4.2.3

    Classical Definition Of Probability

    The classical definition of probability is based on the ratio of favorable outcomes to the total number of possible outcomes.

    Learning Practice

  • 4.2.4

    Addition And Multiplication Theorems

    This section outlines the Addition and Multiplication Theorems, integral for calculating probabilities in various scenarios.

    Learning Practice

  • 4.2.5

    Conditional Probability

    Conditional probability measures the likelihood of an event occurring given that another event has already occurred.

    Learning Practice

  • 4.2.6

    Bayes’ Theorem

    Bayes' Theorem provides a way to update the probability of an event based on new evidence.

    Learning Practice

  • 4.2.7

    Problems Based On Probability

    This section delves into solving various problems related to probability, utilizing fundamental concepts and theorems.

    Learning Practice

  • 4.3

    Detailed Explanation Of Key Topics

    This section elaborates on the fundamental concepts of probability, including random experiments, sample spaces, and various definitions and theorems related to probability.

    Learning Practice

  • 4.3.1

    Random Experiment And Sample Space

    This section introduces random experiments and their sample spaces, focusing on defining events and various types of events.

    Learning Practice

  • 4.3.2

    Events And Types Of Events

    This section introduces events in probability, detailing different types such as simple, compound, and complementary events.

    Learning Practice

  • 4.3.3

    Classical Definition Of Probability

    The classical definition of probability revolves around calculating the likelihood of an event based on equally likely outcomes.

    Learning Practice

  • 4.3.4

    Addition And Multiplication Theorems

    The Addition and Multiplication Theorems in probability provide essential formulas to calculate the probabilities of combined events.

    Learning Practice

  • 4.3.5

    Conditional Probability

    Conditional probability measures the likelihood of an event occurring given that another event has occurred.

    Learning Practice

  • 4.3.6

    Bayes’ Theorem

    Bayes’ Theorem is a mathematical formula used to determine the probability of an event based on prior knowledge or evidence.

    Learning Practice

  • 4.4

    Chapter Summary

    This chapter introduces the fundamental concepts of probability, including experiments, events, and key theorems.

    Learning Practice

  • 4.5

    Applications Of Probability

    This section highlights the diverse real-life applications of probability across various fields.

    Learning Practice

References

12 maths ch4.pdf

Class Notes

Memorization

Revision Tests