NCERT Solutions for Class 12 Maths Chapter 13 Miscellaneous Exercise: Many students are reluctant to pay attention to the miscellaneous exercises. But, it is very important for the students to go through the miscellaneous exercises as the questions that would be asked in the main exams are high-order thinking questions. Chapter 13 of Class 12 Maths deals with the topic of Probability. The important concepts of Probability are all discussed in this article.

Latest Update and NCERT 12 Maths Solutions for

• CBSE Class 12 Maths Exam Date – on 11th March 2023
• CBSE Class 12 Maths Exam Notes
• CBSE Class 12 Maths Sample Papers
• CBSE Class 12 Maths Mock Test Series
• List of Best Books for Maths CBSE Class 12

Click on the topic-wise links provided in the table below to get access to the Class 12 NCERT Mathematics Chapter 13 chapter-wise important questions:

Section Name	Topic Name
13.1	Introduction
13.2	Conditional Probability
13.2.1	Properties of Conditional Probability
13.3	Multiplication Theorem on Probability
13.4	Independent Events
13.5	Bayes’ Theorem
13.5.1	Partition of a Sample Space
13.5.2	The Theorem of Total Probability
13.6	Random Variables and its Probability Distributions
13.6.1	Probability Distribution of a Random Variable
13.6.2	Mean of a Random Variable
13.6.3	Variance of a Random Variable
13.7	Bernoulli Trials and Binomial Distribution
13.7.1	Bernoulli Trials
13.7.2	Binomial Distribution

The Class 12 students must follow all the exercises in the miscellaneous exercise section. For the ease of students, we have provided the links to various articles in the respective chapters of Class 12 Maths. Students can also refer to the NCERT solutions for Class 12 Maths Chapter 13 study materials from Embibe for.

Practice CBSE Class 12 Mathematics, Physics, Biology and Chemistry Questions with Hints & Solutions Here!

Pro Tip: At Embibe, we believe that all students have the right to personalised guidance. Embibe offers personalised attention to all the CBSE Class 12 students to help them prepare for their exams and score good marks.

Subject	Practice Questions from CBSE Class 12 Books
Mathematics	Practice Maths Questions for CBSE Class 12
Physics	Practice Physics Questions for CBSE Class 12
Biology	Practice Biology Questions for CBSE Class 12
Chemistry	Practice Chemistry Questions for CBSE Class 12

Chapter 13 NCERT Solutions Class 12 Maths Miscellaneous Exercise: Important Topics

Having a clear idea of the other exercise topics will give the students clarity about the chapter and their study plan. Students can check the important topics and sub-topics from the table given below:

NCERT Class 12 Maths Chapter 13 Miscellaneous Exercise: Points To Remember

Here are the standard definitions and important points of chapter 13 that the students must remember:

1. Elementary Event: If a random experiment is performed, then each of its outcomes is known as an elementary event.

2. Sample Space of an Experiment: The set of all possible outcomes of a random experiment is called the sample space associated with it and it is generally denoted by SS.

3. Simple Event and Compound Event:(i) A subset of the sample space associated with a random experiment is said to define a simple event if it has only one outcome. (ii) A subset of the sample space associated with a random experiment is said to define a compound event if it has more than one outcome.

4. Favourable Elementary Events: Let SS be the sample space associated with a random experiment and AA be an event associated with the experiment. Then elementary events belonging to AA are known as favourable elementary events to the event AA.

5. Probability of an Event: If there are nn elementary events associated with a random experiment and mm of them are favourable to an event AA, then the probability of happening or occurrence of AA is denoted by P(A)P(A) and is defined as the ratio m by n.

NCERT Solutions Chapter 13 Class 12 All Chapter PDF Links

Embibe provides the necessary details and other pdf links of study materials required by the students in their articles to make learning easier. Students can check the NCERT solutions of all the chapters and other details from the article links given below:

• 1st Chapter – Relations and Functions
• 2nd Chapter – Inverse Trigonometric Functions
• 3rd Chapter – Matrices
• 4th Chapter – Determinants
• 5th Chapter – Continuity and Differentiability
• 6th Chapter – Application of Derivatives
• 7th Chapter – Integrals
• 8th Chapter – Application of Integrals
• 9th Chapter – Differential Equations
• 10th Chapter – Vector Algebra
• 11th Chapter – Three Dimensional Geometry
• 12th Chapter – Linear Programming
• 13th Chapter – Probability

Steps to Practice Unlimited 12th NCERT Mathematics Chapter-wise Mock Tests

Embibe provides personalised mock tests for every student. They can practice in their own pace and prepare themselves with ease. Below we have provided a detailed guide to taking the mock test based on latest syllabus on Embibe:

1st Step: Click on ‘Create Account‘.
2nd Step: Enter your mobile number.
3rd Step: Then select your Goal as ‘CBSE’.
4th Step: Select your Exam Name as ’12th CBSE’.
5th Step: Click Next and select your preferred language between ‘English’ and ‘Hindi’.
6th Step: Once done, click on the below-mentioned links to take the TEST.

FAQs

Q.1: Where can I download the pdf of Miscellaneous Exercise Class 12 Maths NCERT Solutions?
Ans: Students can download the NCERT Solutions for Class 12 Maths Chapter 13 from this page. It is available on the official page of NCERT.

Q.2: Can I download the conditional probability examples and solutions for Class 12 Maths NCERT Solutions from Embibe?
Ans: The conditional probability examples are available on Embibe. Students have to sign up to the Embibe app, which is totally and can access the examples, video lessons and much more they require, along with the feedback.

Q.3: How many topics are in Class 12 Maths Chapter 13 NCERT Solutions? 
Ans: There are numerous NCERT Solutions for Class 12 Chapter 13. Students must refer to NCERT Solutions from time to time to improve their performance. 

Q.4: What are the key takeaways from the Probability chapter?
Ans: There are two major takeaways from the chapter on Probability:

1. Multiplication Theorem on Probability
2. Independent Events.

Q.5: Should I practice the NCERT Solutions for Probability?
Ans: Students in Class 12 should practice the NCERT Solutions regularly to score higher marks in the exam. Students can refer to the PDF given to download the NCERT Solutions in a better manner.