JEE Main Probability and Statistics 2026: Previous Year Questions & Weightage
Joint Entrance Exam (JEE) Main 2026 ( JEE Main )
Exam On - 21 Jan '26 - 29 Jan '26
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.
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
- 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.
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
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.
NTA has announced the JEE Mains 2026 session 1 exam date. Paper 1 exam will be held on January 21, 22, 23, 24 and 28, and paper 2 exam will be held on January 29. NTA will conduct the exam in two shifts every exam day in approximately 300 test cities of India and abroad. Candidates can check details about exam dates and other schedules on the JEE Main official website jeemain.nta.nic.in.
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.
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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NTA has announced the JEE Main 2026 exam date for session 2. JEE Main 2026 session 2 exam will be held from April 2, 2026, to April 9, 2026. JEE Main 2026 session 2 registration will start in the last week of January 2026. The JEE Main Application Form 2026 session 2 will be available on the website jeemain.nta.nic.in. The JEE 2026 session 1 exam will be conducted from Jan 21, 2026, to Jan 30, 2026.
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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.
The difficulty level of JEE Main 2025 April 2 shift 1 exam will be available after the exam concludes. Shiksha will provide the difficulty level and JEE Main paper analysis, students reaction based on feedback from students who are appearing in the exam.
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Anything you would want to ask experts?Answered 3 days ago
The BAMU Aurangabad JEE Main Cutoff 2025 was released for all rounds and various categories under the All India quota. For the General AI category students, the BTech CSE last round cutoff ranged from 148310 to 399678, wherein G.S. Mandal's Marathwada Institute of Technology (MIT, Aurangabad) was th
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JEE Main 2026 shift 1 exam reporting time is 7 am. The exam centre gates will close at 8:30 am. No candidate will be allowed after this deadline.
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Yes, NTA has released the JEE Main 2026 admit card for the January 22 exam. Candidates can download the admit card from jeemain.nta.nic.in.
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Yes, NTA has released the JEE Main session 1 admit card for this date. The admit card for the remaining exam dates - January 28 and 29 will be out in due course.
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