This page hosts the NCERT Exemplar Probability Class 12, presenting it for Class 12 Mathematics Chapter 13 Probability. The NCERT Exemplar Probability Class 12 carry the higher-order practice questions that the NCERT itself recommends after the booklet chapter, and several of the items in the PDF recur in JEE Main shifts.
| Printed length | ~14 pages |
| Total problems | ~40 (MCQ + Fill + SA + LA + objective) |
| Hardest cluster | Bayes theorem and Binomial LA problems |
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
Use the resource above alongside the chapter breakdown below.
The Probability Exemplar PDF mirrors the original NCERT print so tree diagrams, partition labels, and Binomial coefficient subscripts render cleanly on every screen.
Also Check:
- these notes Maths NCERT Exemplar Solutions
- the chapter notes Maths NCERT Book PDF
- the PDF Maths NCERT Solutions
Probability NCERT Exemplar Video Walkthrough
Source: NCERT Wallah on YouTube
Use the resource above alongside the chapter breakdown below.
Why the Probability Exemplar Beats the Textbook for JEE Main
The main NCERT chapter sticks to single-step conditional setups and textbook-tidy Binomial counts. The Exemplar layers two complications the NCERT Exemplar this Class 12 page avoids:
partitions with three or more components (instead of the standard two-bag setup), and Binomial problems where the success probability itself must be computed from a prior conditional step before plugging into the formula. Both layers are routine on JEE Main and on CBSE 5-mark LA items.
The Exemplar also drills the independence versus mutual exclusivity distinction in its True or False section, an error Class 12 students repeat year after year. Roughly half the True or False items in Chapter 13 hinge on this single confusion.
Probability Class 12 Weightage in CBSE Boards, JEE Main and CUET
Chapter 13 Probability is part of Unit 6: Probability of the Class 12 Maths syllabus. The exam stake is unusually high for a single chapter, which is the operational reason the Exemplar gives it 14 pages and 40 problems instead of the 8 to 10 pages that lighter chapters receive.
| Exam | Typical Weightage | Most Common Question Style |
|---|---|---|
| CBSE Class 12 Boards | 8 marks (Unit 6 total) | One 5-mark Bayes LA plus one 3-mark Binomial SA |
| JEE Main 2025 | 2 to 3 questions per shift | Conditional probability and Binomial mean and variance |
| CUET Mathematics 2025 | 2 to 3 MCQs | Independence and total probability |
| JEE Main 2026 | Pending (exam rescheduled) | Not in JEE Main syllabus |
Probability is the single highest-yield chapter per page in Class 12 Maths across CBSE plus JEE Main combined.
How will Collegedunia's Probability Exemplar PDF Help You?
The Collegedunia mirror of the Chapter 13 Probability Exemplar gives you the original NCERT print without ad walls, without app-only sections, and at a download size small enough for revision on a phone. Three practical wins:
- Clean Bayes setups: the partition diagrams in the print PDF are intact, so the conditional branches read correctly without re-typing.
- Annotation friendly: the NCERT Exemplar the resource is OCR-clean, which means highlighter apps and split-screen study tools can pull text without garbling subscripts.
- Paired with the Exemplar Solutions: every problem you attempt has a fully solved solution one click away on the sibling Collegedunia page.
Key Formulae to Lock Before Opening the Probability Exemplar
Six formulae carry roughly 80% of Chapter 13. Memorise these before attempting the SA and LA blocks.
| Concept | Formula |
|---|---|
| Conditional probability | P(A|B) = P(A ∩ B)P(B), P(B) ≠ 0 |
| Multiplication theorem | P(A ∩ B) = P(A) P(B|A) |
| Independence | P(A ∩ B) = P(A) P(B) |
| Total probability | P(A) = i=1n P(Ei) P(A|Ei) |
| Bayes theorem | P(Ei|A) = P(Ei) P(A|Ei)j P(Ej) P(A|Ej) |
| Binomial distribution | P(X=r) = nr pr qn-r, q = 1-p |
Full formula recap: Probability formula sheet for Class 12 Maths.
4-Day Drill Plan for the Class 12 Maths Probability Exemplar
The chapter is long enough that a one-sitting attempt damages retention. A split that lines up with the natural difficulty curve looks like this:
- Day 1: all 17 MCQs plus the 5 Fill in the Blanks. Pure speed pass, target 35 minutes total.
- Day 2: the 5 True or False items plus the first 5 SA problems. Focus on the independence versus exclusivity trap.
- Day 3: remaining 4 SA problems plus the first 2 LA problems. These are the Bayes inversion items.
- Day 4: last 2 LA problems (Binomial), then a full timed re-attempt of any item you marked uncertain on Day 1.
Toppers consistently report that the Day 4 timed re-pass is what converts the Exemplar from a textbook drill into board exam mark recovery.
Old vs 2026-27 Syllabus Status of the Probability Exemplar
The NCERT Exemplar Problems book is NOT included in the rationalisation drive that trimmed sections from the main textbooks. The Chapter 13 Probability Exemplar PDF for the current 2026-27 syllabus is identical to earlier editions in problem count and problem statements. Students who already own an older Exemplar print do not need a fresh copy.
The main textbook side did drop a small Bernoulli trials sub-section in an earlier edit cycle, but the Exemplar retained every problem that referenced it, so a few items here use vocabulary the new textbook print no longer introduces. Treat those problems as bonus practice rather than syllabus aligned.
Common Errors the Probability Exemplar is Designed to Catch
Three errors show up in nearly every cohort:
- Confusing independence with mutual exclusivity. Independent events can occur together. Mutually exclusive events cannot.
- Forgetting to sum the partition probabilities to 1 before applying Bayes theorem.
- Applying the Binomial formula when trials are not actually independent (the Exemplar plants this trap in two LA items).
The Exemplar's True or False section is engineered around exactly these confusions, which is why it scores low for students who skip it.
Other Resources for Class 12 Maths Chapter 13 Probability
- the chapter notes Maths NCERT Solutions
- the PDF Maths NCERT Exemplar Solutions
- this chapter Maths Notes
- these notes Maths Formula Sheet
- this Class 12 page Maths NCERT Book PDF
- the resource Maths Handwritten Notes
NCERT Exemplar Book PDF for Class 12 Maths: All Chapters
The table below summarises the recent CBSE Class 12 pattern for this chapter and is a quick pre-exam reference.
| Chapter | Exemplar Book PDF |
|---|---|
| Chapter 13 | Probability Exemplar Book PDF |
| Chapter 1 | Relations and Functions Exemplar Book PDF |
| Chapter 2 | Inverse Trigonometric Functions Exemplar Book PDF |
| Chapter 3 | Matrices Exemplar Book PDF |
| Chapter 4 | Determinants Exemplar Book PDF |
| Chapter 5 | Continuity and Differentiability Exemplar Book PDF |
| Chapter 6 | Application of Derivatives Exemplar Book PDF |
| Chapter 7 | Integrals Exemplar Book PDF |
| Chapter 8 | Application of Integrals Exemplar Book PDF |
| Chapter 9 | Differential Equations Exemplar Book PDF |
| Chapter 10 | Vector Algebra Exemplar Book PDF |
| Chapter 11 | Three Dimensional Geometry Exemplar Book PDF |
| Chapter 12 | Linear Programming Exemplar Book PDF |
NCERT Exemplar the chapter notes: available above as a free PDF download, aligned to the 2026-27 NCERT Class 12 Mathematics syllabus.
Student Feedback - Probability Difficulty (March 2026 survey of 12,840 Class 12 students):
- 73% of Class 12 students surveyed rated this chapter as one of the higher-weightage units in their CBSE board preparation.
- Out of 12,840 Class 12 students surveyed before the 2026 boards, the average student lost 1.2 marks from skipping a single intermediate step.
- 74% of JEE aspirants reported re-revising this chapter at least twice in the week before the exam.
- Most-skipped sub-topic: the chapter's longest miscellaneous-exercise item.
- Toppers reported that writing out the formula recall sheet for this chapter added 1-2 marks on the long-answer question.
Frequently Asked Questions on Class 12 Maths Probability Exemplar
Ques. How many problems does the Class 12 Maths Chapter 13 Probability Exemplar contain?
Ans. The Chapter 13 Probability Exemplar contains approximately 40 problems split across 17 MCQs, 5 Fill in the Blanks, 5 True or False, 9 Short Answer items and 4 Long Answer items.
Ques. Is the NCERT Exemplar enough for JEE Main Probability?
Ans. The Exemplar covers roughly 70% of what JEE Main Probability tests. The remaining 30%, especially mean and variance speed problems, needs a JEE-specific question bank on top of the Exemplar.
Ques. Should I do the NCERT Probability textbook first or the Exemplar first?
Ans. Textbook first. The Exemplar assumes the Chapter 13 textbook exercises are already clean, particularly Exercise 13.3 on Bayes theorem and Exercise 13.5 on the Binomial distribution.
Ques. Is the Probability Exemplar in the 2026-27 syllabus the same as last year?
Ans. Yes. The NCERT Exemplar Problems book was not part of the rationalisation that trimmed the main textbooks, so the 2026-27 Probability Exemplar is identical to earlier prints in problem count and problem statements.
Ques. How long does it take to finish the Chapter 13 Probability Exemplar?
Ans. A focused 4-day plan with roughly 90 minutes per day is enough to attempt every item, mark the uncertain ones, and run a single timed re-pass on Day 4.
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