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# RD Sharma Class 12 Solutions Chapter 31 - Probability (Ex 31.3) Exercise 31.3

Last updated date: 06th Sep 2024
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## RD Sharma Class 12 Solutions Chapter 31 - Probability (Ex 31.3) Exercise 31.3 - Free PDF

Free PDF download of RD Sharma Class 12 Solutions Chapter 31 - Probability Exercise 31.3 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 31 - Probability Ex 31.3 Questions with Solutions for RD Sharma Class 12 Maths to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

Vedantu is the No.1 Online Tutoring Company in India. A team of expert teachers at Vedantu has compiled the RD Sharma Maths Class 12 Solutions Chapter-wise according to the updated CBSE guidelines. Students can download these free PDFs to help to revise the complete Syllabus and advance their preparation to the next stage and score high marks in the examinations.

Competitive Exams after 12th Science

## Details of RD Sharma Class 12 Solutions Chapter 31 - Probability

In this Chapter, Students learn about Probability and solve some real-life example problems. The word Probability means the chances of occurrence of an event i.e the possibility of happening of an event. In the RD Sharma book, you will learn probability as a branch of mathematics that deals with the occurrence of a random event.

We cannot predict many events with total certainty. As we can predict only the chance of an event to occur i.e. how likely they are to happen. Also, Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.

Class 12 Chapter 31 of RD Sharma book consists of a total of 7 Exercises. Exercise 31.3 Solutions pdf is attached above. You can also download the remaining exercises pdf here:

Exercise 31.1 - 9 questions

Exercise 31.2 - 14 questions

Exercise 31.3 - 26 questions

Exercise 31.4 - 25 questions

Exercise 31.5 - 35 questions

Exercise 31.6 - 13 questions

Exercise 31.7 - 38 questions

• ### Concept clarity -

The solutions provided are simplified for the better understanding of the students

• ### Competitive exams -

It will help directly and indirectly in other competitive exams like IIT JEE MAINS and ADVANCE

• ### Clarification of doubts -

Often students get stuck while solving a question. Referring to the Free PDF of RD Sharma Class 12 solutions, students can continue the flow in their maths practice without obstruction

• ### Self-evaluation -

Students can use the solutions to evaluate their performance and can get an edge over other students who are relying on their teachers to finish the syllabus

• ### Includes extra and important questions -

Strengthening your core knowledge and preparing you for the exam in the best possible way.

• ### Improve their score -

By accessing the solutions and doing regular practice students can score good marks in their exams.

• ### Build confidence -

With more practice of the questions, students gain confidence to solve the similar type of questions in the exam with accuracy

## FAQs on RD Sharma Class 12 Solutions Chapter 31 - Probability (Ex 31.3) Exercise 31.3

1. Why RD Sharma Class 12 Solutions Chapter 31 - Probability Exercise 31.3 - Free PDF beneficial from an exam point of view?

RD Sharma Class 12 Solutions is provided by the experts at VEDANTU as per the understanding and abilities of students. All the important concepts from the exam point of view are explained in simple language to help students ace the exam without fear. The solutions for all the problems present in the textbook helps students to cross-check their answers and analyze their areas of strength and weakness.

2. In which format do questions come from class 12 Chapter 31 - Probability?

Questions are in multiple forms like - MCQs, short answers, long answers. Students need to focus only on clearing the basic concepts related to the topics and solving the exercise of the chapter along with referring to the solutions. If a student follows these simple steps, they will be able to tackle any kind of question related to the topic.

3. How much time should I give to finish RD Sharma class 12 chapter 31 - Probability?

A student can get comfortable with the topic within 2 - 3 days. However, it is a high-scoring area. So, students should keep practicing questions from the topic on a regular basis. They can refer to the RD Sharma Class 12 Solutions Free PDF provided by Vedantu. In order to get the highest scores, students should also practice the past year’s sample papers which are also available on the website and mobile app of Vedantu.

4. Can I download the RD Sharma Class 12 Solutions Chapter 31 - Probability (Ex 31.3) Exercise 31.3- PDF for free?

Yes, the solution provided on the website of Vedantu is provided free of cost for the benefit of the students. You can also download other chapter’s exercises and past year CBSE sample paper to level up your practice.

Students can also access all the free study material by downloading Vedantu’s mobile app.

5. How to use RD Sharma Class 12 Solutions Chapter 31 - Probability (Ex 31.3) Exercise 31.3 - Free PDF to top the exam?

Try to finish the theory part of the chapters. Understand the concept clearly from the textbook or the high-quality videos provided by Vedantu. Once the concepts are clear try to attempt the exercises given after every chapter. Refer to the solutions only after you have tried your best to solve the questions. Compare your answers from the solutions and learn the new methods of solving the questions. If the methods are clear try to attempt the question again on your own and analyze your improvements and mistake. Keep following this simple method until you are core idea about the topic gets crystal clear.