JEE Main Probability and Statistics 2026: Previous Year Questions & Weightage

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 2026.

Check all details around JEE Mains Probability and Statistics topics below.

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 the exam:

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.

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:

• Modern Physics Weightage in JEE Mains: Key Topics & Preparation Strategy
• Coordinate Geometry Weightage in JEE Mains
• JEE Mains PYQ Chapterwise PDF Download
• Most Repeated Questions in JEE Main Math, Chemistry and Physics; PDF Download