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 will conduct the JEE Main 2027 session 2 exam in April 2027.
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.
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.
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
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.
Candidates can check the allotted JEE Mains 2027 exam date on their JEE admit card and also on the city intimation slip.
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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.
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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 3 days ago
According to the MSU Baroda CSE Cutoff 2026 for the General AI category, the maximum rank accepted was 900019 in the last round (Round 3).
As seen from the table below, admission for the General and ST category was the toughest and the easiest for the CSE course. For more information, check the table
N
Contributor-Level 10
Answered 4 days ago
The JEE Mains 2027 notification can be expected in the last week of September 2026 or in the first week of October 2026.
A
Contributor-Level 8
Answered 4 days ago
The JEE Mains 2027 session 1 application form is expected to be released in the last week of October 2026.
M
Contributor-Level 8
Answered 4 days ago
NTA will release the JEE Main 2027 exam date soon. The expected exam dates are:
- Session 1: Last week of January 2027
- Session 2: First week of April 2027
N
Contributor-Level 8
Answered 4 days ago
Yes, IEM Kolkata offers JEE Main scholarships to BTech students as financial assistance. Students with rank 1-10,000 in JEE Main are eligible to receive full tuition fee waiver for four-years.
G
Contributor-Level 10
Answered 4 days ago
Yes. Galgotias University accepts both JEE Main and CUET scores for B.Tech admissions. The university states that students with JEE Main/JEE Advanced or CUET scores are given preference in the merit list.
Contributor-Level 7
Answered a week ago
No, a JEE Main score alone is not sufficient for direct entry to UG courses at the TUM. For direct entry to UG courses at TU Munich having a qualifying JEE Advanced score is mandatory.
Students with a JEE Main score and a Class 12th completion certificate will need to take the Studienkolleg (prepar
A
Contributor-Level 10
Answered a week ago
Not always. While most reputed colleges prefer JEE Main scores, some private engineering colleges in Indore also offer direct admission based on Class 12th merit, especially under management quota seats. So, if you haven't cleared JEE Main with a strong rank, you may still get into a decent private
T
Contributor-Level 10
Answered a week ago
Yes, JECRC University grants scholarship to BTech students based on JEE Main scores. Check below score-wise scholarship:
- Candidates with JEE Main percentile score of 85 to 89.99 (General Category), shall get 15% scholarship on Tuition Fee.
- Candidates with JEE Main percentile score of more than 90 (Ge
R
Contributor-Level 10
Answered a week ago
No. While there is an overlap, the GUJCET syllabus is more aligned with state-level board books and is less advanced than JEE Main.
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Contributor-Level 8
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