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# Probability
Probability is chapter 7 in Mathematics Part - II, a CBSE Class 12 book for the subject Mathematics on Edzy.

## Knowledge Snapshot

| Field | Details |
| :--- | :--- |
| Board | CBSE |
| Curriculum | CBSE |
| Class | Class 12 |
| Subject | Mathematics |
| Book | Mathematics Part - II |
| Chapter | Probability |
| Chapter Number In Book | 7 |
| Chapter Slug | probability |
| Pages | 406-438 |
| Page Count | 33 |
| Source PDF | https://edzy-ai.s3.ap-south-1.amazonaws.com/edzy-express-ts/57937de5-79d5-4255-b176-b08eaed406a7.pdf |
| Last Updated | 2026-06-25 |

## Chapter Overview
This chapter discusses important concepts of probability, including conditional probability, Bayes' theorem, multiplication rule, independence of events, random variables, and their probability distributions, concluding with the Binomial distribution.

## Topic Inventory

| No. | Topic ID | Topic |
| :--- | :--- | :--- |
| 1 | 69aa60cea243cecf961fce82 | Introduction |
| 2 | 69aa60cea243cecf961fce88 | Conditional Probability |
| 3 | 69aa60cea243cecf961fce8c | Multiplication Theorem on Probability |
| 4 | 69aa60cea243cecf961fce8f | Independent Events |
| 5 | 69aa60cea243cecf961fce91 | Bayes' Theorem |

## Topic-Wise Extracted Content

### Introduction
In earlier Classes, we have studied probability as a measure of uncertainty of events in a random experiment. We discussed the axiomatic approach formulated by Russian Mathematician, A.N. Kolmogorov, and established the equivalence between the axiomatic theory and the classical theory of probability in the case of equally likely outcomes.

### Conditional Probability
The probability of event E given that event F has occurred, denoted as P(E|F), is defined as P(E|F) = P(E ∩ F) / P(F), provided P(F) ≠ 0. This section explores various properties of conditional probability and includes examples illustrating its application, such as evaluating P(A|B).

### Multiplication Theorem on Probability
Discusses the methods to find the probability of two events occurring together, depending on the conditional probability.

### Independent Events
Explains how the occurrence of one event does not affect the probability of another.

### Bayes' Theorem
Introduces Bayes' theorem, a fundamental tool in statistical inference, allowing for the calculation of conditional probabilities more effectively.

## Chapter Summary
This chapter elaborates on the intricate nature of probability, detailing methods to determine probabilities of complex events, including conditional probabilities, independence, and the usage of random variables and distributions.

## Key Ideas
- Probability measures uncertainty in events.
- Conditional probability is key to understanding interdependencies between events.
- The Binomial distribution is a crucial discrete probability distribution.

## Important Chapter Facts
- The chapter is Probability.
- The chapter number in the book is 7.
- The subject is Mathematics.
- The book is Mathematics Part - II.
- The class is Class 12.
- The source PDF is https://edzy-ai.s3.ap-south-1.amazonaws.com/edzy-express-ts/57937de5-79d5-4255-b176-b08eaed406a7.pdf.
- The chapter covers pages 406-438.
- The chapter page count is 33.

## Related OKF Entities

| Entity Type | Title | URL |
| :--- | :--- | :--- |
| Chapter Canonical Page | Probability | https://www.edzy.ai/cbse-class-12-mathematics-mathematics-part-ii-probability |
| Chapter Markdown | Probability | https://www.edzy.ai/okf/chapter/cbse-class-12-mathematics-mathematics-part-ii-probability.md |
| Source PDF | Probability | https://edzy-ai.s3.ap-south-1.amazonaws.com/edzy-express-ts/57937de5-79d5-4255-b176-b08eaed406a7.pdf |

## Source Attribution

| Field | Value |
| :--- | :--- |
| Source | Edzy |
| Reference Type | examSubjectBookChapter |
| Reference ID | 66dfdfd63f8b4e9e69bf7fd0 |
| Chapter ID | 66dfdfd63f8b4e9e69bf7fd0 |
| Canonical URL | https://www.edzy.ai/cbse-class-12-mathematics-mathematics-part-ii-probability |
| Markdown URL | https://www.edzy.ai/okf/chapter/cbse-class-12-mathematics-mathematics-part-ii-probability.md |
| Source PDF | https://edzy-ai.s3.ap-south-1.amazonaws.com/edzy-express-ts/57937de5-79d5-4255-b176-b08eaed406a7.pdf |
| Last Updated | 2026-06-25 |