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Statistics and probability are one of the most important topics, carrying approximately 8-10% weightage in the JEE Main Exam.
The probability section focuses on topics like permutation and combination, baye’s theorem, and conditional probability, while the focus of statistics is on concepts like mean, median, mode, standard deviation, and variance.
The most asked topics in statistics and probability are Mean & Variance, Bayes’ Theorem, and Binomial Probability.
Must Read Articles:
- Download JEE Main Last 10-year PYQ for Free
- Download JEE Main 2025 Shift 1 Question Paper with Detailed Solutions
Below is the list of Statistics and Probability questions with detailed solutions asked in JEE Main.
Question 1:
Question 2:
Question 3:
Question 4:
Question 5:
Question 6:
Question 7:
Question 8:
Question 9:
JEE Main Mathematics Paper Pattern
The NTA has updated the JEE Main Mathematics Exam Pattern for 2025. Earlier, section B allowed candidates to attempt only 5 out of 10 NVQs, but now all 5 are compulsory.
The detailed exam pattern for JEE Main Mathematics is given below:
| Aspect | Details |
|---|---|
| Mode of Exam | Online Computer-Based Test (CBT) |
| Language of Exam | English, Hindi, Assamese, Bengali, Gujarati, Kannada, Malayalam, Marathi, Odia, Punjabi, Tamil, Telugu, and Urdu |
| Types of Questions | Section A: Multiple Choice Questions (MCQs)Section B: Numerical Value-Based Questions (NVQs) |
| Total Number of Questions | 25 QuestionsSection A: 20 MCQsSection B: 5 NVQs (All mandatory) |
| Marking Scheme | Correct Answer: +4 marksIncorrect Answer: -1 mark (applies to both MCQs and NVQs)Unanswered/Marked for Review: No marks deducted |
| Total Marks | 100 Marks |
JEE Main Mathematics Chapter-Wise Weightage
Calculus and algebra are the most important sections in the JEE Main Mathematics section and these topics carry approximately 35 to 40% weightage in the exam.
The detailed chapter-wise weightage for mathematics is given in the table below for classes 11th and 12th.
Class 11 Mathematics High-weightage Topics:
| Chapter | Approximate Weightage |
|---|---|
| Sets, Relations & Functions | 3.3% |
| Complex Numbers & Quadratic Equations | 3.3% |
| Permutations & Combinations | 3.3% |
| Binomial Theorem | 3.3% |
| Sequences & Series | 6.6% |
| Straight Lines | 6.6% |
| Conic Sections (Parabola, Ellipse, Hyperbola) | 9.9% |
| Trigonometric Equations | 3.3% |
Mathematics Chapter-wise Weightage for Class 12 Topics:
| Chapter | Approximate Weightage |
|---|---|
| Matrices & Determinants | 6.6% |
| Limits, Continuity & Differentiability | 3.3% |
| Integral Calculus (Definite & Indefinite Integrals) | 6.6% |
| Differential Equations | 3.3% |
| Vector Algebra | 3.3% |
| Three-Dimensional Geometry | 6.6% |
| Probability & Statistics | 6.6% |
Important Books for Mathematics:
JEE Main Last 5 Year Mathematics Papers Pdf
You can download the JEE Main last 5 years’ Mathematics pdf with solutions from the table given below:
JEE Main 2024 Mathematics Question Paper Session 1
| Exam Date | Question Paper | Solution PDF |
|---|---|---|
| JEE Main 2024 Feb 1 Shift 2 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 Feb 1 Shift 1 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 Jan 31 Shift 2 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 Jan 31 Shift 1 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 Jan 30 Shift 2 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 Jan 30 Shift 1 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 Jan 29 Shift 2 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 Jan 29 Shift 1 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 Jan 27 Shift 2 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 Jan 27 Shift 1 Mathematics Question Paper | Download | Check Solution |
JEE Main 2024 Mathematics Question Paper Session 2
| Exam Date and Shift | Question Paper | Solution PDF |
|---|---|---|
| JEE Main 2024 April 4 Shift 1 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 April 4 Shift 2 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 April 5 Shift 1 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 April 5 Shift 2 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 April 6 Shift 1 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 April 6 Shift 2 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 April 8 Shift 1 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 April 8 Shift 2 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 April 9 Shift 1 Mathematics Question Paper | Download | Check Solution |
| JEE Main 2024 April 9 Shift 2 Mathematics Question Paper | Download | Check Solution |
JEE Main 2023 Mathematics Question Paper
| Exam Date | Mathematics Question Paper PDF |
|---|---|
| Mathematics 6 April Shift 1 Question Paper | Check Here |
| Mathematics 6 April Shift 2 Question Paper | Check Here |
| Mathematics 8 April Shift 1 Question Paper | Check Here |
| Mathematics 8 April Shift 2 Question Paper | Check Here |
| Mathematics 10 April Shift 1 Question Paper | Check Here |
| Mathematics 10 April Shift 2 Question Paper | Check Here |
| Mathematics 11 April Shift 1 Question Paper | Check Here |
| Mathematics 11 April Shift 2 Question Paper | Check Here |
| Mathematics 12 April Shift 1 Question Paper | Check Here |
| Mathematics 13 April Shift 1 Question Paper | Check Here |
| Mathematics 13 April Shift 2 Question Paper | Check Here |
| Mathematics 15 April Shift 1 Question Paper | Check Here |
JEE Main 2023 Mathematics Question Paper Session 1
| Exam Date and Shift | Mathematics Question Paper PDF |
|---|---|
| Mathematics 24 January Shift 1 Question Paper | Check Here |
| Mathematics 24 January Shift 2 Question Paper | Check Here |
| Mathematics 25 January Shift 1 Question Paper | Check Here |
| Mathematics 25 January Shift 2 Question Paper | Check Here |
| Mathematics 29 January Shift 1 Question Paper | Check Here |
| Mathematics 29 January Shift 2 Question Paper | Check Here |
| Mathematics 30 January Shift 1 Question Paper | Check Here |
| Mathematics 30 January Shift 2 Question Paper | Check Here |
| Mathematics 31 January Shift 1 Question Paper | Check Here |
| Mathematics 31 January Shift 2 Question Paper | Check Here |
| Mathematics 1 February Shift 1 Question Paper | Check Here |
| Mathematics 1 February Shift 2 Question Paper | Check Here |
JEE Main 2022 Mathematics Question Paper with Solution PDF
| Exam Date | Shift/ Slot | Question Paper PDF |
|---|---|---|
| July 25 | Shift 1 | Check Here |
| July 25 | Shift 2 | Check Here |
| July 26 | Shift 1 | Check Here |
| July 26 | Shift 2 | Check Here |
| July 27 | Shift 1 | Check Here |
| July 27 | Shift 2 | Check Here |
| July 28 | Shift 1 | Check Here |
| July 28 | Shift 2 | Check Here |
| July 29 | Shift 1 | Check Here |
| July 29 | Shift 2 | Check Here |
JEE Main 2022 Mathematics Question Paper with Solution PDF- Phase 1
| Exam Date | Shift/ Slot | Question Paper PDF |
|---|---|---|
| June 29 | Shift 1 | Check Here |
| June 29 | Shift 2 | Check Here |
| June 28 | Shift 1 | Check Here |
| June 28 | Shift 2 | Check Here |
| June 27 | Shift 1 | Check Here |
| June 27 | Shift 2 | Check Here |
| June 26 | Shift 1 | Check Here |
| June 26 | Shift 2 | Check Here |
| June 25 | Shift 1 | Check Here |
| June 25 | Shift 2 | Check Here |
| June 24 | Shift 1 | Check Here |
| June 24 | Shift 2 | Check Here |
JEE Main 2021 Mathematics Question Paper- Download PDF
JEE Main 2021 Mathematics Question Paper with Solution (Session 4- August)- Download PDF
| Exam Date | Shift/ Slot | Question Paper PDF |
|---|---|---|
| August 26 | Shift 1 | Check Here |
| August 26 | Shift 2 | Check Here |
| August 27 | Shift 1 | Check Here |
| August 27 | Shift 2 | Check Here |
| August 31 | Shift 1 | Check Here |
| August 31 | Shift 2 | Check Here |
| September 1 | Shift 2 | Check Here |
JEE Main 2021 Mathematics Question Paper with Solution (Session3- July)- Download PDF
| Exam Date | Shift/ Slot | JEE Main Question Paper PDF |
|---|---|---|
| July 22 | Shift 2 | Check Here |
| July 25 | Shift 1 | Check Here |
| July 25 | Shift 2 | Check Here |
| July 27 | Shift 1 | Check Here |
| August 3 | Shift 1 | Check Here |
| August 3 | Shift 2 | Check Here |
| August 4 | Shift 1 | Check Here |
| August 4 | Shift 2 | Check Here |
JEE Main 2021 Mathematics Question Paper with Solution (Session 2- March)- Download PDF
| Exam Date | Shift/ Slot | Question Paper PDF |
|---|---|---|
| March 16 | Shift 1 | Check Here |
| March 16 | Shift 2 | Check Here |
| March 17 | Shift 1 | Check Here |
| March 17 | Shift 2 | Check Here |
| March 18 | Shift 1 | Check Here |
| March 18 | Shift 2 | Check Here |
JEE Main 2021 Mathematics Question Paper with Solution (Session 1- February)- Download PDF
| Exam Date | Shift/ Slot | Question Paper PDF |
|---|---|---|
| February 24 | Shift 1 | Check Here |
| February 24 | Shift 2 | Check Here |
| February 25 | Shift 1 | Check Here |
| February 25 | Shift 2 | Check Here |
| February 26 | Shift 1 | Check Here |
| February 26 | Shift 2 | Check Here |
JEE Main 2020 Mathematics Question Paper with Solutions- Download PDF
JEE Main 2020 Mathematics Question Paper with Solutions (Session 2- September)- Download PDF
| Exam Date | Shift/ Slot | Question Paper PDF |
|---|---|---|
| September 2 | Shift 1 | Check Here |
| September 2 | Shift 2 | Check Here |
| September 3 | Shift 1 | Check Here |
| September 3 | Shift 2 | Check Here |
| September 4 | Shift 1 | Check Here |
| September 4 | Shift 2 | Check Here |
| September 5 | Shift 1 | Check Here |
| September 5 | Shift 2 | Check Here |
| September 6 | Shift 1 | Check Here |
| September 6 | Shift 2 | Check Here |
JEE Main 2020 Mathematics Question Paper with Solutions (Session 1- January)- Download PDF
| Exam Date | Shift/ Slot | JEE Main Question Paper PDF |
| January 8 | Shift 1 | Check Here |
| January 8 | Shift 2 | Check Here |
| January 9 | Shift 1 | Check Here |
| January 9 | Shift 2 | Check Here |
Frequently Asked Questions
Is statistics a branch of probability?
Statistics and probability are related fields in mathematics but have different applications. Probability involves predicting future events, while statistics is not a branch of probability there are some differences.
Who is the father of probability?
Pierre-Simon Laplace and Blaise Pascal are considered fathers of probability for their contribution to the development of probability theory. Laplace is known for his work on solving gambling problems, laying the groundwork for modern probability theory. Pascal’s triangle system introduced a method for calculating combinations and probabilities.
What are the rules of probability in statistics?
The rules of Probability in statistics are as follows:
- The probability of an event lies between 0 and 1, 0 indicates an impossible vent and 1 indicates a certain event.
- For events that are independent probability that the event would occur is the product of the events
- For exclusive events, the probability that the events may occur is the sum of events.
Who is the father of statistics?
Sir A. Ronald Fisher is considered the father of Statistics. He made contributions to the fields of statistics, experimental designs, statistical testing, and hypothesis testing.
What are the limitations of statistics?
Statistics is useful for analyzing, interpreting, and calculating data, still, there are some limitations of statistics that affect the accuracy of data.
- Statistics deal with groups of data and it cannot provide information related to individual cases.
- Statistical data can be incorrect if the data collection is poor and incorrect methods are applied while calculation.
- Statistics can only analyze quantitative data, abstract qualities like emotions, morals, ethics, and empathy can not be analyzed through statistics.
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