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# Grasp Concepts with RD Sharma Class 12 Maths Solutions Chapter 31 - Probability

Last updated date: 11th Sep 2024
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## RD Sharma Maths Class 12 Chapter 31 Solutions Free PDF Download

RD Sharma Solutions For Class 12 Maths Chapter 31 is provided in the below PDF. RD Sharma Class 12 Solutions Probability will help students to understand the concept easily and help them to prepare efficiently for the exams. We are offering RD Sharma solutions that consist of conceptual problems along with solved examples which will help students to understand the concept clearly. Students should be thorough with this chapter as probability is one of the most important topics to study in Maths.

Competitive Exams after 12th Science

## Class 12 RD Sharma Textbook Solutions Chapter 31 - Probability

Probability RD Sharma Class 12  we will be more concerned about the axiomatic approach of probability towards solving a problem. In this chapter, we have established the equivalence between the axiomatic theory of probability and the Classical theory of probability in the case of equally likely outcomes. On the basis of this relationship, we have obtained probabilities of events associated with discrete sample spaces.

In continuation of the addition theorem of probability, we will also introduce the concept of conditional probability which will be useful in obtaining. We can use this concept to derive a formula for conditional probability. We will be discussing theorems that are helpful in computing the probabilities of simultaneous occurrences of two or more events associated with a random experiment which is also known as the multiplication theorem of probability. Our Subject matter experts have prepared and even designed solutions so that students will be having a lot of fun while solving it.

### Exercises in RD Sharma Class 12 Solutions Chapter 31

Vedantu offers the RD Sharma Class 12 Maths Solutions Chapter 31 - Probability to the students, completely free of cost. These RD Sharma Class 12 Maths Solutions Chapter 31 - Probability are provided in PDF format, which the students can download to study offline. The subject matter experts at Vedantu had prepared these solutions: The RD Sharma Class 12 Maths Solutions Chapter 31 - Probability appropriately.

### Benefits of Using Class 12 Chapter 31 Probability Solutions

These solutions of Probability are made concerning the latest NCERT syllabus and guidelines. These solutions are made to help and guide students and make them prepared for their examinations. These solutions assist students in their homework and assignments. Students can top the final exams and ace the subject by practising these solutions.

### Important Topics Included in Chapter 31- Probability

• Important terms and concepts

• Probability of an event

• Conditional probability

• Multiplication theorems on probability

• More on conditional probability

• Independent events

• Theorems of probability

• Law of total probability

• Bayes' theorem

All these topics are covered in the exercises of this chapter. The file contains the solution for all the problems mentioned in the exercises. The experts of Vedantu have used these concepts to solve these questions following the NCERT guidelines. Download this file for your convenience and prepare this chapter perfectly. Build your conceptual foundation regarding probability and use it for advanced courses in the future.

## FAQs on Grasp Concepts with RD Sharma Class 12 Maths Solutions Chapter 31 - Probability

1. What is the law of total probability?

Let {E1, E2, ..., En } be a partition of a sample space S, such that each of E1, E2, ..., En has a nonzero probability. Let A be an event associated with S, then according to the law of total probability  P(A) = P(E1) P (A|E1 ) + P (E2) P (A|E2 ) + ... + P (En) P(A|En )

2. What is a random variable?

A random variable can be defined as a real-valued function for which domain is the sample space of a random experiment.

3. What is meant by conditional probability?

Conditional probability is the chance of occurrence of an event, based on the occurrence of a previous event or outcome. The conditional probability of an event B, given the occurrence of the event A can be calculated using the formula P(B|A) = P(A∩B) / P(A)

4. Are RD Sharma Class 12 Maths Solutions Chapter 31 - Probability good to score better in Class 12 examinations?

Yes, RD Sharma Class 12 Maths Solutions Chapter 31 - Probability can help students learn more and more of the subject and thus score better grades in the Class 12 examination. This is because, when students practice the solutions mentioned, they deeply learn about the chapter's concepts. So they are well prepared for the examination. The learning power of the students is enhanced due to the proper use of the answering formats followed by the experts.

5. Where can I find useful study resources for RD Sharma Class 12 Maths Solutions Chapter 31 - Probability?

You can find RD Sharma Class 12 Maths Solutions Chapter 31 - Probability on the Vedantu app or website. You can find the RD Sharma Class 12 Maths Solutions Chapter 31 - Probability on the Vedantu site through the given link above.

Vedantu offers these free resources, which are created by the subject matter experts. They are masters in their respective fields, and that's why the content is accurate and reliable. Students can find revision notes, important questions, question papers, etc., on the site. These study materials are completely free, and there is no cost involved. To access these useful study resources, all students have to sign in, and then they will be able to download what they want in pdf format online or offline.

6. Do you have to pay anything for studying RD Sharma Class 12 Maths Solutions Chapter 31 - Probability?

No, RD Sharma Class 12 Maths Solutions Chapter 31 - Probability is completely free of cost. Students can study it only by logging in to the Vedantu site, which is absolutely free, and just preparing for your examination. They don't need to pay anything to access these RD Sharma Class 12 Maths Solutions Chapter 31 - Probability. These are made for the convenience of the students. They are compiled to make students prepare well for the examination, to make them more adaptive, and make learning fun and enjoyable.

7. Is there a timeframe a student should keep while studying RD Sharma Class 12  Maths Solutions Chapter 31 - Probability?

Well, it takes just some time to go through and understand these solutions. They are just made for the convenience of the students. It also depends upon students' memory power and intelligence. It is suggested by the experts to focus on conceptual learning first and then proceed to solve the exercise questions. They can use the solution file to omit doubts and clarify queries faster.

8. Why should students opt for RD Sharma books?

As RD  Sharma's book contains a large number of well-graded solved examples. Students can practice these solved examples on their own without looking at the solutions and if they find any difficulty in solving the examples, they may look at the solutions if they are unable to solve them. This would help them develop the confidence to attempt unsolved exercises. This is very important if one wants to score well in the examination. You can get them free of cost through the direct links available on our page or get them online.