Get complete details on the Probability and Statistics chapter for JEE Main 2027. Discover effective study strategies, review the exact weightage assigned to these topics, and master problem-solving techniques. Additionally, access a curated collection of previous years' exam questions to strengthen your preparation.
JEE Main Probability and Statistics 2027
Probability and Statistics in JEE Main 2027: Recent JEE exam trends highlight that Probability and Statistics consistently hold a solid share of the marks in the JEE Main mathematics section. For the upcoming exams, candidates should anticipate that probability will account for roughly 3.09% of the test, translating to about 9 to 12 questions. Meanwhile, statistics is expected to carry a 3% weightage, which generally yields around 4 to 5 questions.
JEE Main 2027 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 2027 - Weightage in Last 5 Years
- Most Important Sub-Topics for JEE Mains 2027 Probability and Statistics
- Topics Included in JEE Mains Probability and Statistics Syllabus 2027
- How to Prepare Probability and Statistics for JEE Main Exam?
- JEE Mains Previous Year Probability and Statistics Questions
JEE Main Probability and Statistics 2027 - 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 2027. 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 2027:
| 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 2027 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 2027
The following topics are included in the probability and statistics chapter in the JEE Main 2027 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.
JEE Main exam is in two shifts each day. First shift is from 9 am to 12 noon and second shift is from 3 pm to 5 pm. Exam is conducted over a period of 5-6 days. In total JEE Main has 10-12 shifts per session. Each session has different question paper set. The exam is for 3 hours.
Explore colleges based on JEE Main
Want better recommendations?
There is a 90% more chance of getting best college recommendations by sharing preferences.
- Chat with our counselor
- Get your personalised list of colleges & exams matching your preferences
How to Prepare Probability and Statistics for JEE Main Exam?
As per the JEE Main exam pattern 2027, 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 Probability and Statistics, candidates can follow the belo tips:
- 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.
Explore more B.Tech exams with upcoming dates
22 Jul '26
BITSAT
16 Jul '26 - 21 Jul '26
17 Jul '26 - 21 Jul '26
21 Jul '26
WBJEE
20 Jul '26 - 22 Jul '26
20 Jul '26 - 24 Jul '26
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!
Read More:
News & Updates
Explore Other Exams
Jun '26 | JoSAA 2026 starts |
1 Jun '26 | JEE Advanced 2026 Result Date |
22 Jul '26 | BITSAT 2026 Iteration-IV Annou... |
25 Jul '26 | BITSAT 2026 Iteration-IV fee p... |
9 Jul '26 | SRMJEEE Phase 3 Result 2026 |
4 Jul '26 - 5 Jul '26 | SRMJEEE 2026 Exam (Phase 3) |
14 Jul '26 - 24 Jul '26 | COMEDK 2026 Counselling: Round... |
28 Jul '26 | COMEDK 2026 Counselling: Round... |
24 Jul '26 - 26 Jul '26 | WBJEE 2026 counselling registr... |
28 Jul '26 | WBJEE 2026 seat allotment - Ro... |
Oct '26 | VITEEE 2027 Registration Start... |
Apr '27 | VITEEE 2027 Mock Test Release ... |
Student Forum
Anything you would want to ask experts?Answered 22 hours ago
A JEE Main rank of 2000 will get you admission at this institute in the first round if you belong to the General AI category. For this category, the highest round 1 closing rank was 163769. So, admission with a rank of 2000 is possible. Check the table below to know the branch-wise cutoff 2026 for r
N
Contributor-Level 10
Answered 2 days ago
Yes, students can get admission at Shivalik University with JEE Main scores. To get admission in engineering courses at Shivalik University, students must have 65% in Class 12 with valid subjects. The final selection is base don JEE Main/ UKSEE. To get admission, students must fulfil the eligibility
G
Contributor-Level 10
Answered 4 days ago
No, JEE Main is not compulsory to get admission in BTech at Chanakya University. The university considers valid score of entrance exams such as: JEE, KCET, COMEDK or any other state entrance exam.
R
Contributor-Level 10
Answered 4 days ago
Yes, candidates can apply for BTech admission at Manav Rachna University, Faridabad without appearing in JEE Main. Aside from this entrance exam, MRU also accepts scores of SAT, MRNAT, MRSAT and CUET-UG for BTech admissions.
S
Contributor-Level 10
Answered 5 days ago
Yes, the university opens distinct institutional counseling phases based on individual exam score availability for BTech admissions at KIET University. JEE Main high-rankers generally get priority seating selections during the initial registration weeks of the academic cycle. CUET applicants and mer
R
Contributor-Level 9
Answered 5 days ago
You can access official, free mock tests directly on the National Testing Agency (NTA) Mock Test Portal.
N
Contributor-Level 8
Answered 5 days ago
Yes, JEE Main is required for admission to IIT Bombay's BTech programmes. It is an eligibility requirement for JEE Advanced. Students cannot get admission to IIT Bombay using only the JEE Main score. Aspirants must appear for JEE Advanced and participate in JoSAA counselling for final seat allotment
G
Contributor-Level 10
Answered 5 days ago
HBTU JEE Main cutoff 2026 ranged from 51696 to 98963 for the OBC AI category in the third round. As per this range, BTech in Computer Science and Engineering was the most competitive branch for admission, with a cutoff of 51696.
On the other hand, the least competitive branch was Chemical Technolog
N
Contributor-Level 10
Answered 5 days ago
Yes, Bhopal has plenty of flexible options for students without a JEE score. Most private colleges in Bhopal accept MP DTE counselling scores or offer direct admission based on Class 12 marks and personal interviews. Colleges like VIT Bhopal accept VITEEE scores, while many other private institution
T
Contributor-Level 10
Answered 6 days ago
You can apply to the state counselling by Veer Madho Singh Bhandari Uttarakhand Technical University, formerly Uttarakhand Technical University (UTU), via JEE scores.
A
Contributor-Level 8
Currently - Deputy 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. With
Read Full Bio