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# RD Sharma Class 12 Solutions Chapter 31 - Probability (Ex 31.4) Exercise 31.4 Last updated date: 25th Nov 2023
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## RD Sharma Class 12 Solutions Chapter 31 - Probability (Ex 31.4) Exercise 31.4 - Free PDF

Students who are looking for a practical solution can now get a free PDF download of RD Sharma Class 12 Solutions Chapter 31 - Probability Exercise 31.4 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 31 - Probability Ex 31.4 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.

Chapter 31 of Class 12 RD Sharma Maths is considered to be one of the most important topics in the syllabus because this topic is important for the CBSE Class 12 board exams And also it has immense application in the future when it comes to learning other concepts as well. Hence learning this topic and solving all of the questions that are mentioned in RD Sharma Class 12 Solutions Chapter 31 - Probability Exercise 31.4 - Free PDF related to the topic is important. The questions that are mentioned in the RD Sharma Class 12 Solutions Chapter 31 - Probability  Exercise 31.4 - Free PDF also provide a piece of general knowledge regarding the questions that can be expected for the exam.

## Benefits of accessing the RD Sharma Class 12 Solutions Chapter 31 – Probability Exercise 31.4 – Free PDF via Vedantu

1. Vedantu experts provide an easy and detailed way of solving the questions mentioned in the RD Sharma Class 12 Solutions Chapter 31 - Probability Exercise 31.4 - Free PDF

2. These experts who curate the answers have rich experience in both teaching and have also curated solutions for students and teachers alike.

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### Conclusion

With the free download for Chapter 13 for students, it becomes easy to prepare and understand the concept.

## FAQs on RD Sharma Class 12 Solutions Chapter 31 - Probability (Ex 31.4) Exercise 31.4

1. What are the important topics in RD Sharma Class 12 Solutions Chapter 31 – Probability that is of importance?

The important topics that are mentioned in the RD Sharma Class 12 Solutions Chapter 31 – Probability can be provided as follows:

1. The random experiment where the experiment is considered and repeated under identical conditions where the outcome each time is not the same.

2. An elementary event where the random outcomes that are generated

3. Sample space

4. Event

5. The occurrence of an event

6. Certain or sure Event

7. Impossible event

8. Compound event

9. Mutually exclusive events included in the random experiment

10. Exhaustive events

All of these topics are covered in detail in the RD Sharma Class 12 Solutions Chapter 31 – Probability which is available for free in Vedantu website. Students also get a full idea about how the topics are distributed between each exercise and questions as provided in the RD Sharma Class 12 Solutions for CBSE Maths.

2. How many questions are provided in the RD Sharma Class 12 Solutions Chapter 31 - Probability Exercise 31.4 - Free PDF?

There are a total of twenty five  questions that are mentioned in the RD Sharma Class 12 Solutions Chapter 31 - Probability Exercise 31.4 - Free PDF and all of these main questions along with the sub questions that have been mentioned have all the topics that are important covered with solving each of the questions. These questions allow the students to understand the application of concepts from Probability by learning the basics. Some of the questions are simple while other questions may be complex. But by referring to the RD Sharma Class 12 Solutions Chapter 31 - Probability Exercise 31.4 - Free PDF you can solve these with ease.

3. Do questions from RD Sharma Class 12 Solutions Chapter 31 - Probability Ex. 31.4 Free PDF also comes for the competitive exams?

Yes, the questions that are designed and mentioned in the RD Sharma Class 12 Solutions Chapter 31 - Probability Exercise 31.4 - Free PDF are given in such a sense that if these questions come in competitive exams students will be able to solve them. The questions from Probability are one of the favourite types of questions included by the examiners of various competitive examinations. These questions also allow students to improve their critical thinking skills and hence thinking about the topics and their application is possible.

4. How to be fluent in solving the questions related to Chapter 31 Probability without losing the understanding of topics with the help of RD Sharma Class 12 Solutions Chapter 31 - Probability Ex 31.4 (Exercise 31.4) - Free PDF?

When solving the questions related to Chapter 31 Probability there are chances that you get stuck on a question and no matter how much you try you can't seem to go ahead. To get fluency when solving these types of questions, it is important that you practice well. These questions, unlike other Math questions, need a lot of thinking being done along with continuous and rigorous practice. RD Sharma Class 12 Solutions Chapter 31 - Probability Ex 31.4 (Exercise 31.4) - Free PDF is one of the books apart from Vedantu NCERT Solutions for CBSE Class 12 Maths that will help Class 12 students to learn Probability in a much easier way.

5. What are the types of questions that are included in the RD Sharma Class 12 Solutions Chapter 31 - Probability Exercise 31.4 - Free PDF and are all of these types important for exams?

There are various types of questions that are included in the RD Sharma Class 12 Solutions Chapter 31 - Probability Exercise 31.4 - Free PDF and all of these questions have their unique importance. The types of questions that are included are of the following types:

1. Word problems based on Chapter 31 Probability

2. Direct numerical

3. Definitions of various concepts

All of these types of questions allow for the development of the thinking skills in students of Class 12.