NCERT Solutions Class 10 Maths Chapter 15 In Hindi

Mathematics is a purely conceptual subject, therefore, students need to understand its topics thoroughly. Probability is the topic of Chapter 15 of Class 10 Mathematics. It is possible for students to understand the concepts and calculations in this chapter with practise and proper guidance. The chapter includes topics such as Introduction, the Theoretical Approach to Finding the Probability of an Event, etc. The chapter does not contain a lot of exercises and questions, but it does contain several interesting concepts. Therefore, students willundoubtedly find this chapter intriguing and can grasp the concepts with proper practice. Students can learn effectively for their board examinations by utilising all the resources that Extramarks provides them to make their learning experience comprehensive and effortless.

The exercises included in the chapters in NCERT textbooks do not contain solutions. Students are able to understand the questions given in the NCERT textbook with the help of clear solutions and approaches to each question provided by Extramarks’ NCERT Solutions For Class 10 Maths Chapter 15 In Hindi. NCERT textbook forms the basis for the concepts of any chapter of the curriculum of Mathematics. The Class 10 Maths Chapter 15 In Hindi should be practised thoroughly by the students. In addition, students who are pursuing education in Hindi-medium educational institutions might find it difficult to understand the solutions in English. In order to help them understand the concepts of the chapter and score well in the subject, Extramarks provides them with the Hindi Chapter 15 Class 10 NCERT Solutions.

CBSE is an educational board controlled by the Government of India at the national level. A large number of schools in India are affiliated with the CBSE. Established in 1929, the Board represented a bold experiment in interstate integration and cooperation in secondary education. Board examinations are conducted by the CBSE every year for Classes 10 and 12. The schools affiliated with the CBSE largely adhere to the academic curriculum curated by the NCERT. The NCERT curriculum encapsulates all the topics that can be asked in the board examination. To enable students to attain proficiency in this curriculum, Extramarks provides students with solutions for Class 10 Maths Hindi Chapter 15.

The main objectives of the CBSE are as follows:

• A primary aim of the Board is maintaining pedagogical, psychological, and social principles while striving for academic excellence.
• Teachers can develop their professional skills through a variety of programs.

• The Board also strives to provide a stress-free, student-centred, and holistic education to all children without compromising their academic achievements.
• The Board also cooperates with institutions to conduct examinations and improve academic standards.
• The Board is responsible for establishing academic standards, overseeing, and coordinating a variety of academic activities, developing and implementing various training programs, coordinating academic activities, and supervising other agencies.
• The establishment of examination regulations and the holding of public examinations for the 10th and 12th grades are also responsibilities of the board.
• To that end, affiliated schools must issue qualifying certificates to candidates who pass the exams.

Schools affiliated with CBSE follow the NCERT curriculum, particularly for Classes 9 to12. NCERT provides assistance and advice to the Government of India in order to improve the education process in schools. The NCERT also conducts, promotes, and coordinates research related to school education besides providing model textbooks, supplementary materials, newsletters, journals, and educational kits. In addition, to develop and implement innovative educational techniques, it collaborates with universities, NGOs, and state education departments. Information and ideas are provided by the organisation whichis a coordination body for the Universalisation of Elementary Education. Additionally, NCERT conducts research, develops, publishes, trains, and extends school education programmesworldwide. In addition to providing training facilities for educational personnel from developing countries, it collaborates with international organisations and foreign delegations.

Students should become familiar with the NCERT curriculum since CBSE schools comply with it majorly. The NCERT textbooks are compiled by educators who are highly experienced and possess exceptional expertise in their fields. Thus, these textbooks are one of the best educational resources to help students strengthen their fundamental concepts. The NCERT textbooks do not provide answers to the questions. Students may have difficulty finding accurate answers to these questions. With Extramarks, students can access authentic NCERT solutions for all classes and subjects, such as the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi.

Along with the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi, Extramarks provides students with various learning modules so that theycan learn comprehensively and perform effectively in their examinations. It is clear from the example set by Extramarks that e-learning has many advantages. Along with NCERT Solutions For Class 10 Maths Chapter 15 In Hindi, Extramarks provides various learning modules such as K12 Study Material which provides students with a convenient and comprehensive way that helps them succeed in any examinations. Furthermore, Extramarks provides students with Detailed Performance Reports that help them to assess themselves and track their academic progress. Extramarks’ Live Doubt Solving Classes provide students with access to interactive sessions with expert educators. In this way, learners are able to resolve their queries so that they are able to perform effectively in the board examinations. If students have any doubts regarding the NCERT textbook questions of Mathematics Chapter 15, they can refer to the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi. In order to achieve proficiency in all the subjects, students can practise chapter-wise worksheets, answer numerous practise questions, and participate in interactive doubt-solving sessions. In addition, the Learning App provides students with an enriching visual learning experience in order to enhance their understanding of the subject’s curriculum and make learning more enjoyable. Students do not find learning monotonous because of Extramarks’ visuals and animations. They can address their academic concerns with the assistance of highly qualified and experienced mentors from Extramarks who are highly proficient in their fields and can offer them the best possible guidance.

Class 10 is one of the most significant academic years in the academic career of students.It is a crucial academic session in which students choose which subjects they want to study in their higher education. Students’ academic career is structured during the course of this academic session. The examinations of Class 10 provide students with a glimpse of the board examinations of Class 12. Also, the scores of Class 10 are taken into account when students apply for merit scholarships for higher education and seek occupational opportunities. This academic session helps students in developing a systematic learning schedule and also helps them learn the basics of various subjects. Furthermore, going through the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi thoroughly can also assist students in deciding if they want to opt for the subject for further studies. Mathematics is one of the most diverse subjects for Class 10 students. They are likely to find the concepts of the subject challenging. For learners to strengthen their conceptual understanding of Mathematics, the NCERT textbook is a significant resource. Therefore, to be able to achieve good grades in the subject, students should be thorough with the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi.

Students can click on the given link to download the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi.

NCERT Solutions for Class 10 Maths Chapter 15 Probability in Hindi PDF Download

Students can download the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi provided by Extramarks in PDF format. They can easily access and download these solutions, which makes the study material readily and conveniently available. The NCERT Solutions For Class 10 Maths Chapter 15 In Hindi are curated by subject matter specialists of Extramarks and  presented in a step-by-step approach. Extramarks recommends that students review these solutions carefully before their board examination. The NCERT Solutions For Class 10 Maths Chapter 15 In Hindi help students understand the concept and logic behind every answer. They are an excellent tool for the preparation of Class 10 Mathematics board examinations.

Going through the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi helps students developa concrete comprehension of the themes imbibed in the chapter and also equips them with a steady calculation speed. Each solution focuses on a specific theme of the chapter. Students can learn systematically and  be more engaged with their studies with the assistance of Extramarks’ learning tools, such as K12 Study Materials, Complete Syllabus Coverage, Engaging Media Content, Curriculum Mapped Learning, and much more. Along with NCERT Solutions For Class 10 Maths Chapter 15 In Hindi, the website also provides students with NCERT solutions for all academic sessions and subjects. Students can subscribe to the Extramarks website for access to NCERT solutions Class 12, NCERT solutions Class 11, NCERT solutions Class 10, NCERT solutions Class 9, etc. Students can learn, practice, and get their doubts cleared with the help of Extramarks. Students should read the NCERT Solutions for Class 10 Maths Chapter 15 in Hindi because they are designed by skilled Mathematics and Extramarks instructors to provide an unhindered learning experience.. Hence, if they want to understand the concepts of the chapter, they should review Extramarks’ NCERT Solutions For Class 10 Maths Chapter 15 In Hindi.

NCERT solutions like the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi could be found on multiple online portals that can provide students with these solutions. It is, however, important for students to be certain of the credibility of these sources so as not to be confused while learning.There are several platforms that offer NCERT Solutions For Class 10 Maths Chapter 15 In Hindi, which may lead to confusion among students. Extramarks is one of the best platforms for providing students with reliable study material. Apart from NCERT Solutions For Class 10 Maths Chapter 15 In Hindi, it has multiple practise modules, such as sample papers, past years’ papers, and question banks for students. In-house experts of Extramarks have compiled curriculum-based study material on the educational website. The learning assets that are provided to students by Extramarks are fact-checked and accurate. Furthermore, learners can get an idea of the examination pattern by studying sample papers and past years’ papers provided by Extramarks. Additionally, it provides students with an understanding of the types of questions that can appear in the examination, since similar kinds of questions have appeared repeatedly in the board examinations. In order to achieve maximum marks in the subject, the answers must also be written in a specific way, which students can learn by practising solved sample papers. Furthermore, students need to know how marks are distributed and  the weightage of all the topics and chapters of the course. Sample papers are a great tool for students’  quick revision. It is recommended by Extramarks that students review sample papers and past years’ papers prior to the board examination.

The mission of Extramarks has always been to ensure the overall advancement of students. As a result, students are able to grow academically in every respect. Students can therefore rely on Extramarks for good scores in any in-school, board, or competitive examination. In addition to the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi, Extramarks also provides learners with learning tools like NCERT Textbook Solutions, K12 study material for board solved sample papers, revision notes, past years’ papers, and more. In order to prepare for the board examinations, sample papers, and past years’ papers are very crucial study materials. Prior to their board examinations, students must be familiar with the examination pattern of the subject. As a result of practising past years’ papers, students gain a better understanding of the types of questions that may be asked in the board examinations. Therefore, Extramarks suggests students thoroughly go through various sample papers, past years’ papers, and the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi prior to the board examinations.

Access NCERT Solutions for Class 10 Maths Chapter 15 – प्रायिकता

Students can easily download the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi from the Extramarks website. Since these solutions are explained in Hindi, students can easily understand the concepts of the chapter. The NCERT Solutions For Class 10 Maths Chapter 15 In Hindi are compiled in a very straightforward language so that students can comprehend them without any difficulty. The key to success in Mathematics is critical thinking. The subject involves the skills of critical thinking, problem-solving and much more. To be able to perform well in Mathematics, students must practise the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi meticulously. Furthermore, learners are required to have a clear understanding of basic concepts in order to score higher marks in the subject. Therefore, Extramarks provides them with the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi.

It is widely acknowledged that a number of scientific concepts can be explained with the help of concepts embedded in Mathematics. Despite the fact that there is only one NCERT textbook in Class 10, the syllabus of the curriculum is very extensive, so students must work hard and have a thorough understanding of every chapter of the curriculum. For students to clear their fundamentals, it is essential to read the NCERT textbooks in depth. Probability is one of the chapters covered in the academic syllabus of Mathematics for Class 10. As this chapter contains many new concepts, it can be complex for students. Students can find NCERT Solutions For Class 10 Maths Chapter 15 In Hindi on the Extramarks website which provide step-by-step explanations and detailed answers that greatly enhance their conceptual understanding. The answers have been cross-checked and curated by a panel of subject experts. The Extramarks website, provides students with NCERT Solutions For Class 10 Maths Chapter 15 In Hindi, which they can download and practise in order to achieve maximum marks in their board examinations.

NCERT Solutions For Class 10 Maths Chapter 15 In Hindi could be effectively used as a digital learning resource for teaching the designated chapter in CBSE schools. These solutions are a vital resource for the students to clarify their concepts. Due to the fact that board examinations are largely based on the fundamentals of NCERT textbooks, several schools heavily rely on NCERT textbooks for teaching. The NCERT Solutions For Class 10 Maths Chapter 15 In Hindi provided by the Extramarks website can be easily accessed from a variety of devices. These solutions are a vital resource for students who are pursuing their education in the Hindi language. The NCERT Solutions For Class 10 Maths Chapter 15 In Hindi are compiled in a very simple language in order to facilitate learning for students. Students can find it easy to learn the chapter Probability as they have gone through the concepts of the topic in the previous classes. However, the degree of complexity of the chapter has increased in Class 10. The NCERT Solutions For Class 10 Maths Chapter 15 In Hindi are available on the Extramarks website, which include detailed explanations and answers that enhance students’ conceptual understanding. Several proficient mentors of Extramarks have reviewed and curated these solutions. Students should practise the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi thoroughly in order to have a deeper understanding of the concepts of the chapter.

In addition to study materials like the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi, Extramarks also offers learners various learning modules. One of the study modules provided by Extramarks is the Live Doubt Solving Sessions by the highly qualified instructors of the website. Recurring doubts and queries of students may be rendered unaddressed due to the peculiar limitations of the classroom instruction system. As a result, Extramarks helps them resolve their doubts by providing them with individual guidance. Along with providing the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi, Extramarks provides students with all the resources required to score the maximum marks in Class 10 Mathematics board examinations. Extramarks provides students with all the learning resources they need to be successful in their studies. It is not enough for students to have access to a number of extra questions and question banks before the examinations, as they also require detailed and step-by-step solutions to the given questions. NCERT textbook questions are the major source of reference in the process of preparation of question banks. The Extramarks website provides NCERT Solutions For Class 10 Maths Chapter 15 In Hindi to help students prepare better for their in-school as well as board examinations. Students can move ahead with their preparation by understanding the concepts of these NCERT solutions. Students can find the concepts of the chapter confusing and challenging at times, but the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi provided by Extramarks are very helpful in clarifying the doubts of students. Using these solutions can make the learning process of Mathematics effortless and engaging for students. Furthermore, along with the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi, Extramarks also provides learners with access to a variety of comprehensive learning modules that help them achieve academic success. Extramarks provides students with learning modules such as-

• Complete Syllabus Coverage – Sometimes students can not learn their entire academic curriculum on time, which leads to inefficiency in examination preparation. The Extramarks website assists them with proper coverage of their syllabus so that they do not overlook any significant theme while appearing for any in-school or board examinations.
• Practice and Analysis – Extramarks provides students with chapter-wise worksheets, unlimited practise questions, interactive activities, and much more to enable them to gain a deeper understanding of all the subjects of the curriculum. As a result, students can examine their preparation level and evaluate their performance.
• Self-Learning App – The Extramarks website helps students  learn at their own pace so that they canregulate their own learning process. This way, students are able to score better grades and learn systematically.
• Comprehensive Study Material – The Learning App provides students with reliable and comprehensive study material, such as the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi. This helps students  have convenient access to credible study material without having to look anywhere else.
• Visual Learning Journey – With interesting graphics and animations, Extramarks makes students’ learning process easier and more enjoyable, thereby making them more engaged in their studies.
• Curriculum Mapping- Extramarks offers students curriculum-mapped learning experiences so that they will not only be prepared for their board examinations but also score well in the regular in-school tests. This way, students can manage their time effectively, as they will not have to seek assistance elsewhere.
• Learn with the Best Educators- Extramarks provides learners with the opportunity of receiving mentoring from highly qualified and experienced teachers who are very proficient at their subjects. The NCERT Solutions For Class 10 Maths Chapter 15 In Hindi provided by Extramarks are also curated by these in-house experts.

The NCERT Solutions For Class 10 Maths Chapter 15 In Hindi provided by Extramarks include precise answers organised in a step-by-step approach to all the questions of the textbook. Students can use these solutions to gain a deeper understanding of the chapter’s concepts and to improve their problem-solving abilities. They must thoroughly review the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi in order to easily solve all the difficult problems related to the concepts of the chapter. Along with helping learners possess a firm understanding of the basics of the subject, these solutions guide them in learning various approaches to solving the problems of the chapter. The NCERT Solutions For Class 10 Maths Chapter 15 In Hindi also help students to improve their examination preparation for the subject of Mathematics. This will enable students to apply the concepts in the chapter to real-life scenarios. The NCERT Solutions For Class 10 Maths Chapter 15 In Hindi also provide them with an overview of the chapter. These solutions can be used by students to quickly review all the key points in the chapter. To be able to perform well in Mathematics in Class 10 board examinations, Extramarks recommends students thoroughly read and study the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi. The sole objective of Extramarks is to assist students in achieving academic success. Consequently, it provides students with NCERT Solutions For Class 10 Maths Chapter 15 In Hindi, along with other study materials. Furthermore, these solutions are a valuable resource for students who belong to Hindi-medium schools and are more proficient in Hindi. Students are advised to click on the given link to download the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi.

NCERT Solutions for Class 10 Maths Chapter 15 Probability in Hindi

The word Probability is commonly used in day-to-day conversions and is generally used without going into the details of its actual meaning. Generally, people have a crude idea of its meaning. The word probability is used when there is uncertainty about the occurrence or happening of the event in question. For a better understanding of the concept, students can refer to the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi. However, in the theory of probability, a numerical value is assigned to the degree of uncertainty. In problems pertaining to games of chance such as throwing a die, tossing a coin, drawing a card from a pack of cards, etc. Starting with games of chance, probability today has become one of the basic tools of statistics and has a wide range of applications in Science and Engineering. Students can get a better understanding of the concept of Probability by going through the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi.

The NCERT Solutions for Class 10 Maths Chapter 15 in Hindi cover topics like calculating the probability of a coin tossing heads or tailsAlso, the solutions explain the method to find the probability of a red or a yellow ball from a bag without looking into it if the bag contains three or more balls of different colours. The NCERT Solutions For Class 10 Maths Chapter 15 In Hindi also clarify the concept of calculating the probability of getting various numbers when a die is thrown once or twice. Various types of events are discussed in the chapter.If the probability of an event occurring is zero, then it is an impossible event. The probability of an event having a certainty of occurring is 1. Such an event is called a sure event. An elementary event is the outcome of a random experiment. In order to solve the questions related to the chapter accurately, learners can go through the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi.

Students can refer to the example of tossing a coin. The possible outcomes of this experiment are head or tail. So, head and tail are the elementary events in this example. A compound event is an event associated with a random experiment if it is obtained by combining two or more elementary events associated with the random experiment. For instance, when a die is thrown once, the event ‘getting an even number’ is a compound event as it is obtained by combining three elementary events, namely, 2,4,6. The theoretical probability of an event, E, is the Number of outcomes favourable to E divided by the number of all possible outcomes of the experiment. The sum of the probabilities of all the events in an experiment is 1. The solutions also give an idea ofall the possible outcomes of an experiment. For example, the possible outcomes of an experiment involving the throwing of two dice are as follows:(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Another example students could refer to is related to playing cards. A deck of cards consists of 52 cards which are divided into four suits of 13 cards each-Spades, Hearts, Diamonds, and Clubs. The colour of the cards of Clubs and Spades is black, whereas those of Hearts and Diamonds are red in colour. Each suit has an Ace, a Queen, a Jack, a King, 10, 9, 8, 7, 6,5,4,3 and 2. The Jacks, Kings and Queens are referred to as face cards. Suppose one card is taken out from a shuffled deck of 52 cards. The probability to obtain an Ace is 4/52 or 1/13. Again, the probability of getting a card which is not an Ace is 48/52 or 12/13. Students in classes 10 and 12 utilise the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi to prepare for their board examinations. As a result of practising these solutions, students will be able to have a strong command of the concepts of the chapter in order to be prepared to solve any complicated problem during the board examination.Students in Class 10 should practise a variety of questions in addition to the NCERT Solutions for Class 10 Maths Chapter 15 in Hindi prior to their board examinations Despite the fact that NCERT textbooks contain only a few questions explaining concepts, it is important to practise those questions thoroughly to gain a deeper understanding. To help students achieve academic success, Extramarks provides them with various learning modules and study materials. Using the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi, students are able to understand and learn the concepts as well as score the maximum marks in their board examinations.

Practising NCERT Solutions For Class 10 Maths Chapter 15 In Hindi is very essential for students before appearing in the Class 10 Mathematics board examination. This helps students keep trackof their preparation level and academic progress. Additionally, students who practise the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi are not only able to perform better in their examinations but also are able to decide whether Mathematics is the field in which they would like to continue their education. The NCERT Solutions For Class 10 Maths Chapter 15 In Hindi contain all the key concepts and  important questions of the chapter that are likely to be onthe question paper in the board examinations. As an e-learning portal, Extramarks aims to provide students with all the resources they need to learn, practise, and excel. Mathematics is a subject which requires rigorous practise. Therefore, Extramarks provides students with the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi so that they can prepare well for their examinations. It is recommended that students who are more well-versed in Hindi read these solutions carefully. The NCERT Solutions For Class 10 Maths Chapter 15 In Hindi provided by the Extramarks website help students adhereto a comprehensive revision schedule. Therefore, these solutions are very essential tools for quick revision during examinations.

Probability theory had its origins in the 16th century, when an Italian physician and mathematician J.Cardan authored the first book on the subject-The Book on Games of Chance. Students can refer to the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi for a deeper understanding of the chapter. These solutions are essential for students who are facing challenges while attempting to understand the operations of this chapter. Furthermore, along with practising the NCERT Solutions For Class 10 Maths Chapter 15 In Hindi, students can go through the diversity of questions comprised in all the exercises of this chapter. This assists them in ensuring that they do not overlook any important topic for their examinations and learn all of Class 10 Maths Chapter 15: All Formula in Hindi.