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Probability - JEE Main Previous Year Question with Solutions

Probability questions appear in almost every JEE Main session, contributing 2–3 questions (8–12 marks) from Class 11 and Class 12 syllabus. Previous year questions cover classical probability, conditional probability, Bayes' theorem, Binomial distribution, and random variables. Practicing these PYQs with solutions is the fastest way to secure full marks in this chapter.
Probability - JEE Main Previous Year Question with Solutions

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JEE Main Previous Year Question of Math with Solutions is available at eSaral. Practicing JEE Main Previous Year Papers Questions of mathematics will help the JEE aspirants in realizing the question pattern, as well as help in analyzing weak & strong areas. eSaral helps the students in clearing and understanding each topic in a better way. eSaral is providing complete chapter-wise notes of Class 11th and 12th for all subjects. Besides this, eSaral also offers NCERT Solutions, Previous year questions for JEE Main and Advanced, Practice questions, Test Series for JEE Main, JEE Advanced, and NEET, Important questions of Physics, Chemistry, Math, and Biology, and many more. Download the eSaral app for free study material and video tutorials.

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 Probability

Frequently Asked Questions

Find answers to common questions.

Is Probability difficult in JEE Main?

Probability is considered medium difficulty compared to other Mathematics chapters. The questions are more concept-driven than calculation-intensive. Students who are clear on definitions — especially independence vs. mutual exclusivity — and have practiced 50+ PYQs usually find Probability one of the easier sections on exam day.

Which is the most important topic in Probability for JEE Main?

Bayes' Theorem and Binomial Distribution are the two most important topics. Together they account for roughly 40% of all Probability questions over the last five years. Conditional probability is a close third. Mastering these three areas alone can secure you 8+ marks in most sessions.

How many questions come from Probability in JEE Main?

Probability typically contributes 2 to 3 questions per JEE Main session, worth 8–12 marks. NTA's official data confirms that Probability has appeared in every session from 2019 to 2024 without exception, making it one of the most consistent scoring chapters in Mathematics.

Does Probability appear in JEE Advanced too?

Yes. Probability is part of the JEE Advanced syllabus and the questions are significantly harder — often involving multi-step conditional arguments or probability on continuous distributions. JEE Main PYQs build the foundation, but JEE Advanced demands deeper problem-solving practice beyond standard formulas

What is the best way to practise Probability for JEE Main?

The most effective method is topic-wise PYQ practice followed by timed mixed practice. Start with classical probability, move to conditional probability and Bayes' theorem, then Binomial distribution. After each topic, solve 10–15 JEE Main previous year questions on that topic before moving ahead.

Is NCERT enough for Probability in JEE Main?

NCERT Class 11 (Chapter 16) and Class 12 (Chapter 13) form the essential foundation and are sufficient for 60–70% of JEE Main Probability questions. For the remaining 30–40%, which involve more complex Bayes' problems or multi-step Binomial scenarios, additional PYQ practice and concept videos are recommended.

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May 3, 2021, 10:44 p.m.
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May 3, 2021, 10:43 p.m.
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May 3, 2021, 10:37 p.m.
<a href="#" rel="nofollow ugc"></a> <a href="Bhavani" title="Bhavani" rel="nofollow ugc">Bhavani</a> <a href='#comment-8351' rel="nofollow ugc">Reply</a> September 3, 2020 at 12:53 pm Nice <a href="void(0)" title="" rel="nofollow ugc"> <i></i> </a> 1
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rajat
Feb. 12, 2021, 9:59 a.m.
all the solutions are not provides plss upload solution of last 4 questions
Swap
Oct. 18, 2020, 5:37 p.m.
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SNEHA
Oct. 10, 2020, 4:30 p.m.
Thanks for providing this kind of platform
Bhavani
Sept. 3, 2020, 12:53 p.m.
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seswitha sreenivas
Aug. 18, 2020, 7:49 p.m.
Everything is fine but if you gave any solution,it will be helpfull for some students
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