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.
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.
National Testing Agency generally conducts the JEE Main exam two times in a year. The first attempt is conducted in January and the second attempt in April. JEE Main 2026 exam dates have been announced by the NTA for both sessions. The first attempt of JEE Main 2026 will be conducted from January 21 to 30 while the second attempt will be conducted from April 2 to 9. Only in the year 2022, NTA conducted JEE Mains in four sessions due to COVID-19. The number of sessions and date for any year is announced by the NTA at the time of release of application form.
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
JEE Main exam is conducted in online mode as a computer based test. This is conducted in 3 different courses. The exam for B.Tech and B. Plan is completely online while the exam for B.Arch is partially online and drawing part is conducted offline.
Yes, you must carry your original PwD certificate (or UDID card) to the JEE Main exam centre to avail of relaxation or scribe services.
National Testing Agency conducts JEE Main exam in a total of 13 languages. The languages in which paper is conducted are Assamese, Bengali, Kannada, Malayalam, Marathi, Odia, Punjabi, Tamil, Telugu, Urdu in addition to Hindi English and Gujarati. Students can select the language of their choice from the available options while filling the application form. The language of JEE Main question paper during the exam will be available in 3 languages- English Hindi and the language selected by the candidates. The language of paper can be switched among these 3 languages during the exam.
Students are not allowed to carry calculators inside the exam centre in JEE Main exam. Students can use the virtual calculator available on the screen during the exam. Virtual calculators will be available on the computer screen of students during the JEE Main exam.
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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 Yesterday
Yes, students can get direct admission, without JEE Main at SR Group of Institutions. The final selection is based on merit/ CUET/ JEE Main exam. Students can also get admission on the basis of academic scores.
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Contributor-Level 10
Answered 2 days ago
Yes, admissions are possible to the BTech course at DY Patil University, Navi Mumbai without the JEE Main rank through MHT CET. Securing good scores in the MHT CET is very important. Hence, the students must work hard and secure good marks for successful admission to the BTech course.
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Contributor-Level 10
Answered 2 days ago
Yes, JEE Main is compulsory to take admission in BTech at IIIT Lucknow. Candidates must fulfil the eligibility and apply for JEE Main on the official website of NTA. Applicants must clear the JEE Main cutoff for IIIT Lucknow. They have to particpate in JoSAA/CSAB cousnelling for seat allocation.
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Contributor-Level 10
Answered 2 days ago
With 77 percentile, getting a seat is possible, but it will depend on the branch and the admission cycle. For highly demanded branches like CSE, the chances are usually quite low at that percentile. But for some core or less competitive branches, there may still be opportunities.
One of my juniors go
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Beginner-Level 3
Answered 4 days ago
No, candidates cannot take admission in BTech at NIT Uttarakhand without JEE Main. It is the mandatory national-level entrance test for admission through JoSAA/CSAB counselling. Admission is based entirely on your JEE Main Rank and counseling round.
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Contributor-Level 10
Answered 4 days ago
Yes, JEE Main is enough for Krupanidhi Institute of Technology admission. But it is not the only exam accepted for B.E. The institute also accepts CET and COMEDK score. Hence, even if JEE score is not available, students can still apply for admissions at the institute.
A
Contributor-Level 10
Answered a week ago
The JEE Mains 2026 is not out till now. The data for 2025 is available for BIT Mesra.
As per the recent BIT Mesra JEE Main cutoff 2025, the round 6 results have been released. Based on the final cutoff for the General AI category, BTech in Computer Science and Engineering closed off at the rank of 18
S
Contributor-Level 10
Answered a week ago
If you are OBC candidate then you can
1) Fill JoSSA — try for NIT Manipur/Nagaland/Mizoram in Civil or Mechanical
2) Participate in CSAB — extra chance
3) Don't skip state counselling — OBC quota there can be very beneficial
4) Apply to NSUT/YMCA — placements rival many NITs
A lower branch NIT vs NSUT/YM
S
Beginner-Level 1
Answered a week ago
No, interview round for BSc admission at BIT Mesra is part of BITCHEM which is not required for candidates who are open to pusuing BSc at Birla Institute of Technology, Mesra. Candidates who apply through JEE Main will not be required to appear in BITCHEM.
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Contributor-Level 10
Answered a week ago
Candidates wishing to take admission in BTech at IIIT Bhagalpur have to appear in JEE Main. Along with that, candidates also have to participate in JOSAA/ CSAB counselling process. Seat allocation is done when candidates clear cutoff ranks released on the official JoSAA website.
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