NCERT Solutions for Class 12 Maths Chapter 13 Probability (Ex 13.4) Exercise 13.4

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NCERT Solutions for Class 12 Maths Chapter 13 Probability (Ex 13.4) Exercise 13.4

Free PDF download of NCERT Solutions for Class 12 Maths Chapter 13 Exercise 13.4 (Ex 13.4) and all chapter exercises at one place prepared by expert teacher as per NCERT (CBSE) books guidelines. Class 12 Maths Chapter 13 Probability Exercise 13.4 Questions with Solutions to help you to revise complete Syllabus and Score More marks. Register and get all exercise solutions in your emails.

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Chapter 13 - Probability part-1

NCERT Solutions for Class 12 Maths Chapter 13 Probability Exercise 13.4

Opting for the NCERT solutions for Ex 13.4 Class 12 Maths is considered as the best option for the CBSE students when it comes to exam preparation. This chapter consists of many exercises. Out of which we have provided the Exercise 13.4 Class 12 Maths NCERT solutions on this page in PDF format. You can download this solution as per your convenience or you can study it directly from our website/ app online.

Vedantu in-house subject matter experts have solved the problems/ questions from the exercise with the utmost care and by following all the guidelines by CBSE. Class 12 students who are thorough with all the concepts from the Maths textbook and quite well-versed with all the problems from the exercises given in it, then any student can easily score the highest possible marks in the final exam. With the help of this Class 12 Maths Chapter 13 Exercise 13.4 solutions, students can easily understand the pattern of questions that can be asked in the exam from this chapter and also learn the marks weightage of the chapter. So that they can prepare themselves accordingly for the final exam.

Besides these NCERT solutions for Class 12 Maths Chapter 13 Exercise 13.4, there are plenty of exercises in this chapter which contain innumerable questions as well. All these questions are solved/answered by our in-house subject experts as mentioned earlier. Hence all of these are bound to be of superior quality and anyone can refer to these during the time of exam preparation. In order to score the best possible marks in the class, it is really important to understand all the concepts of the textbooks and solve the problems from the exercises given next to it. 

Do not delay any more. Download the NCERT solutions for Class 12 Maths Chapter 13 Exercise 13.4 from Vedantu website now for better exam preparation. If you have the Vedantu app in your phone, you can download the same through the app as well. The best part of these solutions is these can be accessed both online and offline as well. 

FAQs (Frequently Asked Questions)

1. How many Questions are there in the Class 12 Maths Chapter 13 Exercise 13.4 of NCERT Textbook?

A total of 10 Questions/ Problems are there in the Class 12 Maths Chapter 13 Exercise 13.4 of NCERT textbook. However, this chapter contains four exercises in total.

2. Does Vedantu Provide Solutions to All the Questions of Chapter 13 Maths Ex 13.4?

Yes, Vedantu provides answers/ solutions to all the questions of Chapter 13 Maths Ex 13.4 through their readymade solutions, which are available in free PDF format on the Vedantu website and the app as well. These solutions are provided by the experienced team of subject matter experts at Vedantu. 

3. How important is this NCERT Solutions for Maths Chapter 13 Exercise 13.4 for All the Class 12 Students?

These NCERT Solutions for Maths Chapter 13 Exercise 13.4 play a crucial role in every Class 12 student’s life as these are curated by Vedantu’s subject matter experts who hold years of experience in the relevant industry. These solutions PDF are of excellent quality, hence any student can rely on these without any hesitation. The best part is that these Maths solutions are available in free PDF format so that students do not have to spend an extra penny in order to avail those from Vedantu’s website. 

NCERT Solutions holds a very special place in every student’s life as the exercises are given at the end of every chapter helps the students to be thorough and well versed with the basic concepts. So that students can score an excellent grade in the exam. 

4. Is it possible to download Vedantu’s NCERT Solutions for Class 12 Maths Chapter 13 Exercise 13.4 for Free of Cost?

Yes, these NCERT Solutions for Class 10 Maths by Vedantu are easily available online for absolutely free of cost and in PDF format. So that anyone can download these solutions as per their convenience and refer to these both online and offline. All they have to do is register on Vedantu site along with their email ID and contact. That’s all!

5. Is Class 12 Maths Chapter 13 Exercise 13.4 Easy?

Class 12 Maths Chapter 13 Exercise 13.4 may not be extremely simple but it's very important for the exams, both boards, and competitive exams. Therefore, it is crucial to know this chapter and clear out all queries. This implies that a guide proves to be helpful for understanding. Here is where NCERT solutions by Vedantu come into play. With its expert-made answers and accurate solutions to problems, it makes it easy to understand the concepts and also to get good marks in the exam.

6. Can you please brief the Class 12 Maths Exercise 13.4?

Exercise 13.4 of Class 12 Maths Chapter 13, Probability and its problems are based on the concept of independent events. Problems related to this topic have been carefully selected and solved in the NCERT solutions by Vedantu that are free to download. With the help of NCERT Solutions, you will be able to understand the concepts related to Exercise 13.4 of Class 12 Maths clearly so that it becomes easier for you to solve the same problems in the final board exams.

7. How can I understand Exercise 13.4 of Class 12 Maths probability?

The following concepts are important to understand the Exercise 13.4 of Class 12 Maths Chapter 13 Probability: 

  • Two events (denoted by E and F) are considered independent when 

  • P(E∩F) = P(E).P(F)

  • Two given independent events having the non-parental probability of an event might not be mutually exclusive. In contrast, mutually exclusive events which will probably take place are not independent.

8. How can I study Class 12 Maths Chapter 13 Probability?

To study Class 12 Maths Chapter 13 Probability, it is important to understand these fundamental concepts:

  • Probability And Statistics

  • Multiplication theorem on Probability

  • Bayes Theorem

  • Bernoulli Trials 

  • Binomial Distribution

These concepts have been discussed in detail in the NCERT solutions by Vedantu to ensure that you get a clear picture of the chapter. These solutions are available on the Vedantu app and the website.

9. What are the most important formulas that I need to remember in Exercise 13.4?

When E and F are events associated with the sample space S, and the probability of either one of them happening does not get affected by the happening of another, then these events E and Event F are independent. This implies E and F are independent when,

  • P(F | E) = P(F), where P (E) ≠ 0

  • P(E | F) = P(E), where P (F) ≠ 0

In case of three events A, B, C, they are mutually independent when,

  • P(A ∩ B) = P(A) P(B)

  • P(A ∩ C) = P(A) P(C)

  • P(B ∩ C) = P(B) P(C)

  • P(A ∩ B ∩ C) = P(A) P(B) P(C)

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