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JEE Main - Statistics and Probability Notes (Free PDF Download)

Last updated date: 14th Jul 2024
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Study Smart With JEE Main - Statistics and Probability Notes and Important Topics

Get ready for your JEE Main exam by getting hold of important Statistics and Probability Notes. Our expert teachers create these notes to make tough concepts easy, highlight important stuff, and cover important topics. You can get them for FREE from our website. These notes give you all the important info you need in a simpler way, helping you study better. You'll understand the subjects well and be well-prepared for the exam after reviewing these notes. Use these helpful resources to do great in JEE Main.


JEE Main Revision Notes


Text, Images, Videos and PDF


JEE Main

Chapter Name:

Statistics and Probability

Academic Session:



English Medium



Available Material:

Chapter-wise Notes with PDF

The Statistics and Probability chapter covers the mathematical study of data analysis, probability theory, and statistical methods. This is a crucial chapter for JEE Main Exams, and you can expect at least two questions from it. Check out how many questions were asked from the Statistics and Probability chapter in the last five years of JEE Main exams.

Year Wise Weightage of Questions: JEE Main Statistics and Probability

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Average No. Of Questions Asked

Marks per Question

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The master teachers of Vedantu worked hard to ensure the Statistics and Probability notes perfectly matched the JEE Main syllabus. So, gear up to succeed – grab your Statistics and Probability Notes now and shine in JEE Main 2025!

Competitive Exams after 12th Science

Top Concepts to Study in Statistics and Probability for JEE Main 2025

Here, you will look at the main topics you should review in Statistics and Probability. these crucial topics can truly improve your preparation. Good at them will give you a big advantage in the upcoming test. So, let's discuss the essential topics you need to consider for success in JEE Main 2025.

  • Descriptive Statistics

  • Probability Basics

  • Probability Distributions

  • Conditional Probability

  • Random Variables

  • Probability Functions

  • Correlation and Regression

  • Sampling and Estimation

  • Hypothesis Testing

  • Counting and Permutations

  • Probability Applications

  • Expected Values and Variance

IIT JEE Probability - Important Formulas

To determine the combined probability of events occurring with replacement, we simply multiply the probabilities of the events directly. The formula for such cases is as follows: P(A and B) = P(A) $\times$ P(B)

  1. Conditional probability pertains to the likelihood of one event occurring after another has already taken place. The formula for conditional probability is expressed as: P(A and B) = P(A) $\times$ P(B|A)

  2. Rules of Addition When considering two events, A and B, with their respective probabilities denoted as P(A) and P(B), the rules of addition can be summarized as follows:

Rule 1 (Mutually Exclusive Events): The probability of either event A or event B occurring is the sum of their individual probabilities: P(A or B) = P(A) + P(B)

These formulas and rules are fundamental for probability calculations in various scenarios.

JEE Main Maths Notes: Chapter-wise links 2025

Download for Free and Learn JEE Main Maths Chapter-wise Notes. GetThe links from the table below:

Why Notes of Statistics and Probability Important for JEE Main 2025?

As you tread the path toward JEE Main 2025, the significance of "Statistics and Probability" notes becomes increasingly evident. This chapter, poised at the intersection of mathematics and real-world applications, offers a unique toolkit that not only elevates your exam performance but also nurtures your analytical reasoning and decision-making skills. Let’s check out few features of the chapter.

Practical Insight:

Statistics and Probability notes usher you into the realm of data analysis, enabling you to make informed decisions and predictions based on empirical evidence.

Real-world Relevance:

This chapter bridges mathematics with real-life scenarios, as probability and statistics are woven into various fields such as economics, science, and social sciences.

Statistical Analysis:

Notes encompass data collection, organization, representation, and interpretation, vital skills in scientific research and decision-making processes.

Probability Fundamentals:

Understanding the principles of probability grants you the ability to quantify uncertainty, essential for predicting outcomes in various scenarios.

Data Interpretation:

Proficiency in statistics empowers you to analyze and interpret data sets, a skill tested not only in exams but also in various professions.

Probability Models:

Notes introduce you to probability distributions, helping you model and analyze random events and their outcomes.

Risk Assessment:

With probability concepts, you gain the competence to assess risks, a crucial skill in fields such as finance and engineering.

Combinatorics and Permutations:

Unraveling the intricacies of permutations and combinations equips you to solve diverse counting problems.

Decision-making Skills:

By delving into statistics, you cultivate the art of making decisions based on evidence, a trait indispensable in academic and professional spheres.

Critical Analysis:

This chapter encourages critical analysis of data, fostering a discerning mind that evaluates information with depth and precision.

Engineering and Science Applications:

Statistics and Probability are integral in engineering, physics, and medical research, enhancing their real-world application.

Foundation for Further Studies:

Proficiency in this chapter forms a cornerstone for advanced studies in statistics, data science, and related fields.

Holistic Growth:

While preparing for JEE Main, Statistics and Probability notes nurture logical thinking, data literacy, and intellectual maturity.

Problem-solving Aptitude:

Beyond exams, the skills gained empower you to approach challenges methodically, utilizing statistical tools to unravel complexities.

In your pursuit of success in JEE Main 2025, Statistics and Probability notes offer more than just exam preparation. They shape you into a thinker equipped with the ability to decipher data-driven puzzles, make calculated decisions, and appreciate the vital role mathematics plays in shaping our world. As you engage with this chapter, you're not only preparing for an exam but fostering skills that will reverberate throughout your academic journey and future endeavors.

Strategic Approach: Maximizing Learning with Formulas and Revision Notes

When you want to learn effectively, you can use a smart strategy by combining formulas and revision notes. These two things work together nicely. Formulas are like short explanations of important ideas. Using them with detailed revision notes gives you a complete way to learn. Revision notes give you a strong base, and formulas help you understand better and solve problems.This mix makes hard things easier and helps you remember better. By using this strategy, you can improve how well you understand and do well in your studies.

Download the JEE Main Maths Formulas by Vedantu for FREE. Combine it with JEE Main Notes, and you can see the good changes in your scores.

Explore Further: Supplementary Resources for JEE Main 2025 Statistics and Probability

Looking to enhance your JEE Main 2025 Statistics and Probability preparation? Explore these Important materials:

  • Practice Papers: Enhance your abilities through focused practice.

  • MockTests: Replicate exam scenarios for increased confidence.

  • Sample Papers: Get acquainted with question formats.

  • Previous Year Question Papers (PYQPs): Understand exam patterns.

Use these tools to improve comprehension and test-taking skills, boosting your JEE Main 2025 performance!

Access the supplementary resources for JEE Main 2025 here:

Enhance your Results with Vedantu’s JEE Main Notes

As you work hard to do well in JEE Main 2025, think of Statistics and Probability Notes as your helpful friend. They simplify hard things, show what's important, and let you practice, which improves your study. Vedantu's JEE Main notes help you, and you'll understand things, solve problems without fear, and do well in the exam. Get the Statistics and Probability Revision Notes for FREE to get better and succeed in JEE Main 2025.

FAQs on JEE Main - Statistics and Probability Notes (Free PDF Download)

1. What are the most important topics included in Statistics and Probability Notes for JEE Main 2025?

Important topics in JEE Main 2025 Statistics and Probability Notes include:

  • Measures of central tendency and dispersion.

  • Probability concepts and laws.

  • Probability distributions (binomial, normal).

  • Permutations and combinations.

  • Random variables and their distributions.

  • Sampling and sampling distributions.

2. What is the weightage of Statistics and Probability Notes for JEE Main 2025?

The weightage of Statistics and Probability Notes in JEE Main 2025 is typically around 10-12% of the overall mathematics section, making it a significant part of the exam.

3. Which is the easiest topic of JEE Main 2025 Statistics and Probability Notes?

The easiest topic can vary based on individual understanding, but many students find measures of central tendency (mean, median, mode) relatively straightforward.

4. What are the Statistics and Probability in the context of JEE Main 2025?

In the context of JEE Main 2025, Statistics and Probability refer to the mathematical study of data analysis, uncertainty quantification, and predicting outcomes based on probability principles.

5. How can I apply the Statistics and Probability to solve JEE Main problems?

To Apply statistics and Probability to solve JEE Main problems:

  • Understand the problem context and data given.

  • Apply relevant probability concepts and laws.

  • Perform calculations for measures of central tendency or probability distributions.

  • Interpret results in the context of the problem.

6. Are there any common mistakes students make in Statistics and Probability problems?

Common mistakes students make in Statistics and Probability problems include misinterpreting data, misunderstanding probability laws, and miscalculating probabilities or statistics.

7. What are the expected difficulty level of JEE Main Statistics and Probability questions?

The difficulty level of Statistics and Probability questions in JEE Main can vary from moderate to challenging. They may involve intricate calculations or require a deep understanding of probability concepts.

8. How To learn using JEE Main 2025 Statistics and Probability Notes?

  • Understand the fundamental concepts, definitions, and laws.

  • Practice solving a variety of problems to grasp different scenarios.

  • Focus on application-based questions to connect theory with practical situations.

  • Create a summary sheet with key formulas and concepts.

  • Analyze your mistakes and learn from them.