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Last updated date: 25th Jul 2024
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## Statistics and Probability Practice Paper with Solutions and Answer Key For JEE Main

To excel in JEE Main Maths, one must prioritize the Statistics and Probability Practice Paper, as it explains the statistical principles, including probability distributions, hypothesis testing, and data analysis, which are vital in the field of biology and biotechnology, it is one of the important chapters in JEE Main

 Category: JEE Main Practice Paper Content-Type: Text, Images, Videos and PDF Exam: JEE Main Chapter Name: Statistics and Probability Academic Session: 2025 Medium: English Medium Subject: Mathematics Available Material: Chapter-wise Practice paper with PDF

Vedantu takes pride in supporting students on their journey to excel in JEE Main Maths by providing a FREE PDF download of the Statistics and Probability Practice Paper. This invaluable resource is specifically designed for chapter-wise practice, guaranteeing a comprehensive understanding of essential concepts. By acquiring it for FREE, you can elevate your knowledge and enhance your confidence in handling questions effectively. The inclusion of detailed solutions and answer keys aids in resolving doubts and offers a step-wise approach to practicing questions. Engaging with Vedantu’s Statistics and Probability Practice Paper for JEE Main also contributes to improving your question-solving speed.

At least 2 questions related to the Statistics and Probability chapter will be there in the JEE Main Exam. To appreciate its relevance, find the table displaying the Statistics and Probability chapter's weightage in the JEE Main Exam over the last five years.

 Year Weightage of JEE Main Questions From Statistics and Probability 2023 6% 2022 6% 2021 6% 2020 6% 2019 6%

Practice Papers for JEE Main help you to find and practice the questions that might get asked in the next JEE Main exam. Download the PDF of the Statistics and Probability Practice Paper today to excel in your JEE Main exams!

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## Subject-Wise Links for JEE Main Practice Paper

In the JEE Main exam, each of the three subjects— Chemistry,Maths, and Physics—holds a weightage of 33%. Hence along with practicing the Maths Practice Paper for JEE Main, students have to practice Chemistry, as well as Physics Practice Papers. This will lead you to score more than 80% in the JEE Main exam. Here are the links for JEE Main Subject-wise Practice Paper.

 Subject-wise Links For JEE Main Practice Paper JEE Main Chemistry Practice Paper JEE Main Physics Practice Paper

### Links For JEE Main Chapter-wise Practice Paper

Maths Practice Papers need to be worked out after each chapter since the questions from most of the Maths chapters can help you to score well in the Maths section of the JEE Main exam. This will help you to cover most of the JEE Main Maths Syllabus. You can download the Chapter-wise links for the JEE Main Practice Paper.

### Important Topics From Statistics and Probability for JEE Main Practice Paper

It will be easy for you to work out the JEE Main Practice Paper if you have a strong understanding of the Statistics and Probability. You have to focus more on the important topics to answer most of the questions from the JEE Main Practice Paper of Statistics and Probability. Here are some of the important topics of Statistics and Probability.

#### Mean, Median, and Mode:

• These are measures of central tendency. Mean is the average, median is the middle value, and mode is the most frequently occurring value in a set of data.

#### Variance and Standard Deviation:

• These measures tell you how spread out the data is. A high standard deviation means the data is spread out, and a low one means it's close together.

#### Probability Distributions:

• Understand concepts like the normal distribution and binomial distribution. These describe how data is likely to be distributed in certain situations.

#### Sampling and Sampling Methods:

• Know how to take a smaller group (sample) from a larger population and make inferences about the population based on the sample.

#### Basic Probability:

• This involves understanding the concept of probability. Probability is a measure of how likely an event is to happen, ranging from 0 (impossible) to 1 (certain).

#### Probability of Compound Events:

• Learn how to calculate the probability of multiple events happening together. This involves using the AND and OR rules of probability.

#### Conditional Probability:

• This deals with the probability of an event happening given that another event has already occurred. It's like calculating the probability of something happening under certain conditions.

#### Permutations and Combinations:

• Understand how to count the number of ways to arrange or choose items from a set. Permutations involve arranging, and combinations involve choosing without regard to order.

#### Probability Distributions:

• Learn about probability distributions like the binomial distribution and the Poisson distribution. These describe the likelihood of different outcomes in specific situations.

#### Bayes' Theorem:

• This is a formula used to update probability based on new information. It's often used in situations involving conditional probability.

#### Random Variables:

• A random variable is a variable that can take on different values with certain probabilities. Understand the concept of discrete and continuous random variables.

#### Expectation and Variance of Random Variables:

• These concepts involve finding the average and spread of random variables. Expectation is like the average value, and variance measures how spread out the values are.

#### Law of Large Numbers and Central Limit Theorem:

• These are important statistical laws that describe how, as you collect more data, your results become more predictable and follow a normal distribution.

### Equations To Score More in Practice Paper of JEE Main Statistics and Probability

Equations are the base to solve the JEE Main Practice Paper. You have to know which equation or formula to use while solving the Practice Paper for JEE Main. Find the important equations you need to learn while working out Practice Paper of JEE Main Statistics and Probability.

#### Probability of an Event:

• $P(A) = \frac{n(A)}{n(S)}$

#### Permutations:

• ${}_n P_r = \frac{n!}{(n-r)!}$

#### Combinations:

• ${}_n C_r = \frac{n!}{r!(n-r)!}$

#### Mean (Average) of a Data Set:

• $\mu = \frac{1}{n} \sum_{i=1}^{n} x_i$

#### Variance:

• $\sigma^2 = \frac{1}{n} \sum_{i=1}^{n} (x_i - \mu)^2$

#### Standard Deviation:

• $\sigma = \sqrt{\sigma^2}$

For more formulas and equations you can refer Vedantu’s JEE Main Formula page.

### What Makes Vedantu’s Practice Paper PDF of JEE Main Statistics and Probability Different?

The major function of Practice Paper for JEE Main is to facilitate student preparation by offering questions designed in the same pattern as the JEE Main exam. Vedantu’s JEE Main Practice Papers stands as the immediate resource following the completion of each Maths chapter. Now, let’s discover the salient features of Vedantu’s Statistics and Probability Practice Paper for JEE Main.

• Quality Content: Vedantu's Practice Paper for Statistics and Probability is curated by experienced educators and subject matter experts, ensuring that the questions are relevant, accurate, and aligned with the latest JEE Main syllabus.

• Variety of Questions: They provide a diverse range of questions, covering different difficulty levels and concepts from Statistics and Probability, allowing students to thoroughly practice and master each topic.

• Detailed Solutions: Vedantu offers detailed step-by-step solutions and answer keys for Statistics and Probability JEE Main Practice Paper, ensuring that students understand not just the final answer but also the underlying concepts and problem-solving techniques.

• User-Friendly Interface: Their platform is designed to be user-friendly, making it easy for students to navigate through Practice Paper and access the content they need efficiently.

• Accessibility: Vedantu's Practice Paper are often easily accessible online and can be downloaded for FREE, allowing students to practice from the comfort of their homes.

### How To Prepare For JEE Main With Statistics and Probability Practice Paper?

Vedantu’s Statistics and Probability JEE Main Practice Paper is composed of MCQs and Subjective type questions. At the end of the FREE PDF you can get the answer keys and detailed solutions for the questions. If you follow the below instructions while working out the Daily Practice Paper you can easily succeed in the JEE Main exam.

1. Download the Daily Practice Paper of JEE Main Statistics and Probability.

2. You can set a timer of 1 hour.

3. Solve the easy questions first and give time for tough questions.

5. Each question carries 4 marks and give a negative mark of -1 for each questions.

6. Now calculate the score and analyse yourself.

7. You can take the help of detailed solutions given in the PDF for the better clarity of questions and answers.

8. Learn how to do the incorrect answers and prcatice the questions again.

9. Make a note of the time you taking for each question to practice.

### When to Start Preparing With JEE Main Practice Paper of Statistics and Probability?

Starting your JEE Main Practice Paper of Statistics and Probability preparation early in your academic journey is a strategic choice, allowing ample time for comprehensive subject mastery and thorough revision, pivotal for achieving exam success. Follow this timeline to make the most of your JEE Main preparation using Daily Practice Paper.

• Foundation Building (1-2 Years Prior): Start with foundational studies and building a strong understanding of the core concepts in Statistics and Probability.

• Concept Mastery (6-12 Months Prior): About a year before the exam, begin incorporating Practice Paper of JEE Main Statistics and Probability into your routine.

• Intensive Revision (3-6 Months Prior): As the exam date approaches, intensify your Practice Paper usage. Take full-length Practice Paper to simulate exam conditions, improve time management, and identify weak areas.

### Additional Materials To cover With  JEE Main Statistics and Probability Practice Paper

After learning with the Statistics and Probability chapter, you need to make sure that you are mastering the contents you learn, so that you can perform well in JEE Main. Practice Papers for JEE Main prepared by Vedantu is the best resource for this. Right after your revision with the Statistics and Probability you can practice the JEE Main Practice Paper. But this is not enough if you want to score more than 85% in JEE Main exam. Here are some additional materials that you can choose while preparing for JEE Main.

### Try Our Online Practice Paper Test For Maths

Once you are done with practicing the JEE Main Practice Paper for Statistics and Probability, you can test your online skills for JEE Main Maths. Vedantu is also providing you an online practice paper test where you can get a real experience of attempting JEE Main Exam.

 JEE Main Maths Online Practice Paper JEE Main Maths Practice Paper - Test 1 JEE Main Maths Practice Paper - Test 2

### Mastering Statistics and Probability With JEE Main Practice Paper

The JEE Main Statistics and Probability Practice Paper is a great way to practice for the exam. It covers a lot of important topics, and the solutions and answer key help you check your work. By practicing with this JEE Main Practice Paper, you can learn the material better and get better at solving problems. You can also learn how to manage your time better and figure out where you need to focus your studies. So, if you're preparing for the JEE Main, be sure to download and practice Vedantu’s Statistics and Probability Daily Practice Paper for FREE!

### JEE Mains Sample Paper: Statistics and Probability

JEE Mains is a highly competitive exam, and students need to be well-prepared to secure a good score. By practicing with JEE Main 2025 Sample Papers, students can get a feel of the actual exam and identify their strengths and weaknesses. The Statistics and Probability chapter is a crucial section of the JEE Mains syllabus, and it is essential for students to have a thorough understanding of the concepts covered in this chapter. Our sample papers include questions from all the important topics in this chapter, helping students to assess their preparation level and identify areas where they need more practice.

With the help of JEE Main Model Papers and JEE Model Question Papers, students can also get an idea of the types of questions that are frequently asked in the exam. This can help them to develop effective strategies for answering different types of questions, which can be beneficial in improving their overall score. By practicing with these sample papers, students can boost their confidence and improve their chances of success in the JEE Mains examination.

## FAQs on JEE Main Statistics and Probability Practice Paper FREE PDF Download

1. What is the importance of studying Statistics and Probability for JEE Main?

Statistics and Probability are crucial topics for JEE Main as they appear in various sections of the exam, including mathematics and physics. They help in solving real-world problems and understanding uncertainties.

2. How can I effectively prepare for Statistics and Probability in JEE Main practice papers?

To prepare effectively, make sure you understand the concepts thoroughly, practice regularly, and solve previous years' question papers. Use Vedantu's practice papers for comprehensive practice.

3. What are the fundamental concepts of Probability in JEE Main practice papers?

Key concepts include probability of events, conditional probability, Bayes' theorem, and probability distributions like binomial and normal distributions.

4. How can I calculate the mean, median, and mode for a given set of data in Statistics practice papers for JEE Main?

Mean is the average, median is the middle value, and mode is the most frequently occurring value in a data set. You can find them using appropriate formulas.

5. Can you explain the concept of permutations and combinations in Statistics and Probability for JEE Main?

Permutations deal with the arrangement of objects, while combinations focus on selecting objects without regard to order. They are important for solving counting problems.

6. What is the difference between discrete and continuous probability distributions in JEE Main practice papers?

Discrete distributions involve distinct values, while continuous distributions have a range of possible values. Examples include the binomial and normal distributions, respectively.

7. How do I calculate the variance and standard deviation of a data set in Statistics practice papers for JEE Main?

Variance measures data spread, while standard deviation is its square root. Both are computed using specific formulas.

8. How can Vedantu's Statistics and Probability Practice Papers for JEE Main help me in my preparation?

Vedantu's practice papers provide a structured approach to studying these topics, along with detailed solutions and answer keys for self-assessment, helping you prepare effectively for the JEE Main exam.