Class 11 Applied Mathematics Chapter 9 Probability NCERT Book PDF gives students the official chapter text for random experiments, events, conditional probability, total probability and Bayes theorem. The PDF follows the 2026-27 NCERT chapter and helps students connect counting methods with real-life chance problems.
- Official source: download the original NCERT chapter PDF with examples, activities and practice questions.
- Exam value: Probability supports data handling, insurance, polls, medical testing and risk questions.
- Best for practice: read this PDF before solving conditional probability and Bayes theorem questions.
This chapter PDF is the reference text students should keep open while revising sample spaces, event operations and Bayes theorem.
Student Feedback: In a Collegedunia poll of more than 10,000 students before the 2026 boards, most students said Probability became easier when they wrote the sample space first. The most common mistake was mixing conditional probability with simple event probability.
Probability NCERT Book PDF for Class 11 Applied Mathematics
The NCERT Book PDF is the base text for this Probability chapter. It explains how uncertain outcomes are listed, counted and used in practical questions.
| Chapter part | What students read in the PDF | Why it matters |
|---|---|---|
| Random experiment | Outcome, trial and sample space | Builds the base for every probability question |
| Events | Simple, compound, sure and impossible events | Helps students write event sets correctly |
| Conditional probability | Probability when one event is already known | Prepares students for real-life data questions |
| Bayes theorem | Reverse probability using prior information | Useful in risk, diagnosis and decision problems |
Random Experiment and Sample Space in Probability
A random experiment has more than one possible outcome. Students cannot predict the final outcome before the experiment happens.
- Outcome: one result of a random experiment.
- Sample space: the set of all possible outcomes.
- Trial: one performance of the experiment.
- Event: a selected part of the sample space.
Most probability errors start when the sample space is incomplete or counted twice.
Experimental and Theoretical Probability in Class 11
Probability questions use either observed data or a fair counting model. The NCERT Book PDF helps students see the difference before they apply formulas.
| Probability type | Meaning | Where students use it |
|---|---|---|
| Experimental probability | Based on repeated trials and observed results | Surveys, simulations and data-based activities |
| Theoretical probability | Based on expected outcomes in a fair experiment | Coins, dice, cards and equally likely cases |
| Conditional probability | Chance of an event after another event is known | Medical tests, insurance and risk examples |
| Total probability | Combines cases from separate partitions | Questions split across groups or categories |
Probability Laws and Bayes Theorem Video Revision
The video below supports a quick revision of probability laws from the Class 11 Applied Mathematics chapter.
Source: Magnet Brains on YouTube
How to Use the Class 11 Applied Mathematics Probability PDF
The PDF works best when students read examples before solving questions. Probability needs clean notation, so each answer should start with the sample space or the event definition.
| Study pass | What to do | Target |
|---|---|---|
| Pass 1 | Read random experiment, sample space and event definitions | Build the vocabulary |
| Pass 2 | Copy key formulas with one example each | Separate simple and conditional probability |
| Pass 3 | Solve NCERT examples before exercise questions | Improve steps and notation |
| Pass 4 | Check every final answer is between 0 and 1 | Catch counting mistakes early |
Related Class 11 Applied Mathematics Resources for Probability
Also Check: use the original book PDF with the matching notes, solutions and handwritten notes for the same chapter.
| Resource | Best used for | Link |
|---|---|---|
| NCERT Notes | Fast recall of probability formulas and event types | Probability Class 11 Notes |
| NCERT Solutions | Step-by-step answers to textbook questions | Probability Class 11 NCERT Solutions |
| Handwritten Notes | Quick visual recall before practice | Probability Class 11 Handwritten Notes |
Class 11 Applied Mathematics NCERT Book PDFs for All Chapters
Related Links: download neighbouring NCERT Book PDFs in the same Applied Mathematics format.
| Chapter | Class 11 Applied Mathematics NCERT Book PDF |
|---|---|
| Chapter 6 | Permutations and Combinations Class 11 NCERT Book PDF |
| Chapter 7 | Mathematical and Logical Reasoning Class 11 NCERT Book PDF |
| Chapter 8 | Calculus Class 11 NCERT Book PDF |
| Chapter 10 | Descriptive Statistics Class 11 NCERT Book PDF |
Probability Class 11 Applied Mathematics NCERT Book PDF FAQs
Ques. What does the Probability NCERT Book PDF contain?
Ans. It contains the official NCERT chapter text, examples and exercises on random experiments, events, conditional probability, total probability and Bayes theorem.
Ques. Is this Class 11 Applied Mathematics Chapter 9 PDF useful for 2026-27 exams?
Ans. Yes. The PDF supports the 2026-27 Applied Mathematics syllabus and helps students practise probability questions from the official chapter.
Ques. What is a sample space in Probability?
Ans. A sample space is the set of all possible outcomes of a random experiment. Students use it before counting favourable cases.
Ques. How should students use this NCERT Book PDF?
Ans. Read the definitions first, list sample spaces carefully, then solve NCERT examples before attempting exercise questions.
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