Check here all important information around the Probability and Statistics chapter of JEE Main 2026. Know how to prepare this chapter, what is the weightage of Probability and Statistics section in the exam, how to solve the questions and also get previous year JEE Main Probability and Statistics questions.
JEE Main Probability and Statistics 2026
Probability and Statistics in JEE Main 2026: As per the analysis of JEE Main 2026 chapter wise weightage of Maths, Probability and Statistics has been carrying decent weightage in the JEE Mains question paper over the years. Candidates who will appear in JEE Main 2026 exam, can expect a weightage of 3.09% for probability questions and 3% weightage to statistics. This means around 9 to 12 questions can come in the exam from probability, and 4 to 5 from statistics.
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JEE Main 2026 syllabus has been released by NTA. From the Maths section, the probability and statistics chapter has around 10 topics that the candidates have to prepare for the JEE Main.
Check all details around JEE Mains Probability and Statistics topics below.
- JEE Main Probability and Statistics 2026 - Weightage in Last 5 Years
- Most Important Sub-Topics for JEE Mains 2026 Probability and Statistics
- Topics Included in JEE Mains Probability and Statistics Syllabus 2026
- How to Prepare Probability and Statistics for JEE Main Exam?
- JEE Mains Previous Year Probability and Statistics Questions
JEE Main Probability and Statistics 2026 - Weightage in Last 5 Years
Probability and statistics are important chapters in JEE Mains, as questions come from this chapter every year. This chapter is known to be easy compared to other chapters of JEE Main Maths syllabus 2026. The questions are less time consuming and scoring.
Based on the JEE Main chapter wise weightage analysis of the last five years, Probability and Statistics have carried the following weightage in JEE Main 2026:
| Chapter |
Weightage |
Number of questions |
|---|---|---|
| Probability |
3.09% |
9 to 12 questions |
| Statistics |
3.00% |
4 to 5 questions |
As per the analysis, probability and statistics are one of the most important chapters in JEE Mains that the candidates must prepare.
Commonly asked questions
NTA conducted the JEE Main 2026 session 2 exam between April 2 and 8.
No. NTA has not allowed calculators of kind - virtual or physical inside the JEE Main exam hall. Candidates must not carry calculators or any other electronic device in the JEE Main examination centre.
NTA has conducted the JEE Main 2026 January session exam for BE/BTech candidates successfully across multiple cities in India and abroad. The exam was held on January 21, 22, 23, 24 and 28 and on each day, there were 2 shifts. A total of 10 shifts were held for Paper 1. As per the official NTA data, across the 10 shifts, 13,00,368 candidates have appeared out of the 13,50,969 candidates scheduled to appear.
Most Important Sub-Topics for JEE Mains 2026 Probability and Statistics
Check below some of the most important sub-topics that are asked from probability and statistics in the JEE Mains exam:
- Probability: Conditional Probability, Bayes' Theorem, Independent Events, Addition and Multiplication Rules, Binomial Probability Distribution (mean, variance).
- Statistics: Measures of Dispersion (Mean Deviation, Variance, Standard Deviation), Mean, Median, and Mode for grouped and ungrouped data.
Topics Included in JEE Mains Probability and Statistics Syllabus 2026
The following topics are included in the probability and statistics chapter in the JEE Main 2026 syllabus:
Topics in JEE Main Probability:
- Probability of an event
- Addition and multiplication theorems of probability
- Baye's theorem
- Probability distribution of a random variable
Topics in JEE Main Statistics:
- Measures of dispersion
- Calculation of mean, median, and mode of grouped and ungrouped data
- Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data
Commonly asked questions
The JoSAA 2026 choice filling window will open with the registration window in June 2026. Candidates will be able to register and then fill the choices of courses and colleges based on their JEE Main/Advanced ranks and category.
JEE Main exam is held for 3 hours continuously without any break. Candidates are allowed to leave exam hall only after 3 hours of the test are over.
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How to Prepare Probability and Statistics for JEE Main Exam?
As per the JEE Main exam pattern 2026, the maths section will have a total of 25 questions of 100 marks. There will be 20 MCQs and 5 numerical answer type questions. All questions will be compulsory to attempt.
To prepare for the chapter on Probability and Statistics, candidates can follow the tips below:
- Prepare the most repeated JEE Main questions asked on Probability and Statistics from the last 5 years.
- Focus on solving the most difficult questions asked in the past few years from Probability and Statistics in JEE Mains.
- Take Probability and Statistics mock tests and try to solve various kinds of questions.
- Analyse which topics of the Probability and Statistics chapter are your strengths and weaknesses. Work on those areas accordingly.
- Prepare notes and note down important formulas and concepts for revision.
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JEE Mains Previous Year Probability and Statistics Questions
Check below some important JEE Main questions asked in the past few years from Probability and Statistics:
Q: The number of observations in a group is 40. If the average of the first 10 is 4.5 and that of the remaining 30 is 3.5, then the average of the whole group is _________.
Q: Bag 1 contains 4 white balls and 5 black balls, and Bag 2 contains n white balls and 3 black balls. One ball is drawn randomly from Bag 1 and transferred to Bag 2. A ball is then drawn randomly from Bag 2. If the probability, that the ball drawn is white, is 29/45, then n is equal to:
Q: If an unbiased dice is rolled thrice, then the probability of getting a greater number in the ith roll than the number obtained in the (i–1)th roll, i = 2, 3 is equal to
Q: In a box of 10 electric bulbs, two are defective. Two bulbs are selected at random one after the other from the box. The first bulb after selection is being put back in the box before making the second selection. The probability that both the bulbs are without defect is ______.
Q: The mean of n items is x̄. If the first term is increased by 1, the second by 2 and so on, then what is the new mean?
Q: In an experiment with 15 observations on x, the following results were available
Q: Let N denote the number that turns up when a fair die is rolled. If the probability that the system of
equations
x+y+z = 1
2x+Ny+2z = 2
3x+3y+Nz = 3
has unique solution is k/6, then the sum of value of k and all possible values of N is
Q: The means of five observations is 4 and their variance is 5.2. If three of these observations are 1, 2 and 6, then the other two are
Q: Forty teams play a tournament. Each team plays with every other team just once. Each game results in a win for one team. If each team has a 50% chance of winning each game, the probability that at the end of the tournament, every team has won a different number of games is _______.
Q: Runs scored by a batsman in 10 innings are: 38, 70, 48, 34, 42, 55, 63, 46, 54, 44 the mean deviation is ___________.
Q: Let the mean and the standard deviation of the observation 2 , 3 , 3 , 4 , 5 , 7 , a , b be 4 and 2 respectively. Then the mean deviation about the mode of these observations is:
Q: Let the Mean and Variance of five observations x1 = 1 , x 2 = 3 , x 3 = a , x 4 = 7 and x 5 = b , a > b , be 5 and 10 respectively. Then the Variance of the observations n + x n , n = 1 , 2 , … … … 5 is
Q: The variance of the numbers 8 , 21 , 34 , 47 , … , 320 , is____________.
Q: In a class of 100 students there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class are 72, then what are the average marks of the girls?
As per the JEE Main dates, the exam is held twice in January and April. Candidates who register for the exam are issued JEE Main admit card to appear in the exam. Preparation of the exam is very crucial as JEE Main witnesses high competition with more than 10 lakh candidates appearing for the exam every year.
All the best for your JEE Preparations!
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Student Forum
Anything you would want to ask experts?Answered 2 days ago
| Branch | General Category Closing Rank | OBC/SC/ST Closing Rank | Notes |
|---|---|---|---|
| Computer Science (CSE) | ~12,000–15,000 | Up to ~25,000–30,000 | Most competitive branch |
| Information Technology (IT) | ~15,000 | ~28,000–32,000 | Slightly easier than CSE |
| Electronics & Communication (ECE) | ~18,000–20,000 | ~35,000–40,000 | Balanced demand |
| Electrical Engineering | ~20,000–25,000 | ~40,000–50,000 | Moderate demand |
| Mechanical Engineering | ~25,000–30,000 | ~50,000–60,000 | Higher closing ranks |
| Civil Engineering | ~30,000–35,000 | ~60,000–70,000 | Lower demand |
| Other Core (Textile, Metallurgy, Bio-Tech) | ~35,000–40,000 | ~70,000–80,000 | Easier admission |
S
Contributor-Level 10
Answered 2 days ago
With a JEE Main CRL rank of ~79,364 and an EWS category rank of ~11,884, you have a realistic chance of securing CSE in several mid-tier NITs, newer IIITs, and some GFTIs. Top NITs (Trichy, Surathkal, Warangal, Allahabad) are out of reach, but options like NIT Jalandhar, NIT Hamirpur, IIIT Kota, III
S
Contributor-Level 10
Answered 3 days ago
Yes, the JEE Main 2026 Session 2 (April attempt) result has already been declared by NTA on April 20, 2026. You can download your scorecard from the official portal using your application number and password/date of birth.
Result Date: April 20, 2026 (Session 2).
Official Websites to Check:
jeemain.
S
Contributor-Level 10
Answered 3 days ago
With 90 percentile in JEE Main (OBC-NCL, Female, Home State MP), your chances for B.Tech CSE are quite realistic in MBM Engineering College, Jodhpur (Rajasthan) and other state/NIT options. Let’s break it down:
MBM Engineering College (Jodhpur)
- Admission Route: Rajasthan REAP counseling (based on JEE
S
Contributor-Level 10
Answered 3 days ago
| NIT | CSE Closing Rank Range | Chance at 98.15 Percentile (~Rank 18,000–22,000) |
|---|---|---|
| NIT Trichy | ~2,000–3,500 | ❌ Not possible |
| NIT Warangal | ~2,500–4,000 | ❌ Not possible |
| NIT Surathkal | ~3,000–5,000 | ❌ Not possible |
| NIT Calicut | ~3,500–5,500 | ❌ Not possible |
| MNIT Jaipur | ~4,000–7,000 | ❌ Not possible (but check Home State quota) |
| VNIT Nagpur | ~5,000–8,000 | ❌ Not possible |
| NIT Rourkela | ~4,500–7,500 | ❌ Not possible |
| MNNIT Allahabad | ~5,500–9,000 | ❌ Not possible |
| NIT Kurukshetra | ~7,000–12,000 | ⚠️ Borderline |
| NIT Jalandhar | ~9,000–15,000 | ✅ Possible |
| NIT Silchar | ~12,000–20,000 | ✅ Strong chance |
| NIT Agartala / Mizoram / Sikkim / Manipur / Srinagar | ~18,000–30,000 | ✅ Very strong chance |
S
Contributor-Level 10
Answered 3 days ago
LPU JEE Main cutoff for BTech typically sits around 80 percentile for general category, based on recent trends for high-demand branches like CSE. This opens doors to innovative curriculum with strong industry ties, hands-on projects, and solid placement outcomes the highest packages crossing 50 LPA
S
Beginner-Level 1
Answered 4 days ago
Students who are applying for BTech admissions at Jain University Bangalore must give the JEE Main exam and meet the required cutoff.
Candidates who have received their session 2 result can follow the steps below:
- Check recent Jain Bangalore cutoffs to compare one's score.
- Apply through the university
C
Contributor-Level 8
Answered 5 days ago
With 93.95 percentile in JEE Main (EWS category), your rank is around 65,000–70,000, which gives you realistic chances in newer NITs, some IIITs, and state government colleges.
🎓 Government Colleges You Can Target
- Newer NITs: NIT Agartala, NIT Arunachal Pradesh, NIT Mizoram, NIT Nagaland, NIT Manipur
S
Contributor-Level 10
Answered 5 days ago
With a JEE Main 2026 percentile of 81.40 and SC category rank of 2,91,970, admission to top NITs like Surathkal, Trichy, Warangal, Allahabad, Jaipur, Calicut is not possible. Their SC cutoffs for even lower branches usually close around 20,000–40,000 rank.
NIT Admission Chances (SC Category)
- Top NITs
S
Contributor-Level 10
Answered 5 days ago
With a 70 percentile in JEE Main (General category) and being from Andhra Pradesh (AP), here's a clear picture of your admission chances:
What 70 Percentile Means
- Approximate rank: 3,00,000 – 4,50,000.
- NITs/IIITs via JoSAA: Not possible, since even the lowest cutoffs for Civil/Mechanical in newer NITs
S
Contributor-Level 10
Currently - Assistant Manager, Content
Role - News and Feature Writer, Content Editor
Expertise - Engineering Education and Counselling
Mamona Majumder specialises in news and feature writing, and content editing. W
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