# NCERT Solutions Class 10 Maths Chapter 15 Probability

NCERT Solutions Class 10 Maths Chapter 15 Probability introduces the concept of theoretical probability of any event; it is also known as classical probability. The chapter aims to impart this learning with the help of some easy problems based on this concept. Till now, the students must have covered the experimental or also known as the empirical probability of the events, and this was based on the outcomes of the actual experiments. Now they will study a theoretical approach towards probability, where it is assumed that the results of the experiment are ‘equally likely'.

An important takeaway from NCERT Solutions Class 10 Maths Chapter 15 for the students would be that while solving the problems, they will come across the fact that if the probabilities of the elementary events are added, they sum up to 1, and an event that is impossible to occur, its probability is 0. Further, concepts of elementary and complementary events are also discussed in detail. More facts about the probability topic can be read in the pdf of NCERT Solutions Class 10 Maths Chapter 15 Probability provided below and also you can find some of these in the exercises given below.

## NCERT Solutions for Class 10 Maths Chapter 15 PDF

NCERT Solutions Class 10 Maths Chapter 15 Probability enables the students to explore the concept of probability theoretically and through real-world problems. It will also help them revise the previous concepts of probability. Students must make sure that they recognize the difference between experimental and theoretical probability. Given below are the links to have a glance at the exercise questions in each section of the chapter :

**ā** Download Class 10 Maths NCERT Solutions Chapter 15 Probability

**NCERT Class 10 Maths Chapter 15 **

### NCERT Solutions for Class 10 Maths Chapter 15 Probability

Class 10 NCERT solutions chapter 15 Probability has been designed by the math experts. Probability can be defined as a ‘possibility,’ which can be understood with the help of comprehensive explanations provided in NCERT solutions class 10 maths Chapter 15 Probability.

In today's world, where every digital footprint is saved, as well as each item data is retained, understanding probability theory is becoming increasingly crucial in order to know how it will be used in the future to compute probable events. A section-wise detailed analysis of class 10 maths chapter 15 can be seen below :

- Class 10 Maths Chapter 15 Ex 15.1 - 25 Questions
- Class 10 Maths Chapter 15 Ex 15.2 - 5 Questions

ā Download Class 10 Maths Chapter 15 NCERT Book

**Topics Covered:** The important topics covered in class 10 maths NCERT solutions Chapter 15 are differences between experimental and theoretical probability, what is the probability of a ‘sure’ and an ‘impossible’ event, definitions of elementary and complementary events, and the calculation of the probabilities of such events.

**Total Questions:** Class 10 Maths Chapter 15 Probability consists of a total of 30 questions, out of which 15 are easy to solve, 10 fall under the moderate level category, while the other 5 are of long answer form.

## List of Formulas in NCERT Solutions Class 10 Maths Chapter 15

NCERT solutions class 10 maths Chapter 15 Probability holds great practical importance owing to the importance of probability in real-life problem-solving. This chapter heavily relies on a child’s acumen. Even though there are formulas enlisted, to decipher a question kids need to have a clear understanding of concepts. Thus, before moving on to using formulas and attempting sums it is imperative to build a strong theoretical foundation of Probability. There are certain facts and formulas which the students must make note of from these solutions. Some of them are as :

- Empirical probability, P(E) = Number of trials in which the event happened/ Total number of trials

- Theoretical Probability, P(E) = Number of outcomes that are favorable to the event/ Number of the expected possible outcomes of the experiment

## FAQs on NCERT Solutions Class 10 Maths Chapter 15

### What is the Importance of NCERT Solutions Class 10 Maths Chapter 15 Probability?

NCERT Solutions Class 10 Maths Chapter 15 Probability helps students understand the theoretical approach of probability in detail. This chapter also allows them to differentiate between empirical and theoretical probability. These concepts have numerous real-life applications in many fields such as astronomy, engineering, sports, etc., hence learning about them will not only prepare the students for exams but also for their future careers ahead.

### Do I Need to Practice all Questions Provided in NCERT Solutions Class 10 Maths Probability?

Yes, students need to practice all the 30 questions provided in NCERT Solutions Class 10 Maths Probability. These questions will not only help you score good marks in examinations but will also prepare you for certain real-life situations. All the exercises in this chapter have questions related to different scenarios making the problem-solving process interesting and engaging.

### What are the Important Topics Covered in NCERT Solutions Class 10 Maths Chapter 15?

NCERT Solutions Class 10 Maths Chapter 15 covers topics such as theoretical probability, experimental probability, the differences between the two, the probability of ‘sure’ and ‘impossible’ events, elementary and complementary events. There are a number of questions related to all these topics that must be practiced on a regular basis. Students can also go through the examples of this chapter to get a crystal clear understanding of probability and its concepts.

### How Many Questions are there in Class 10 Maths NCERT Solutions Chapter 15 Probability?

NCERT Solutions Class 10 maths chapter 15 Probability includes a total of 30 questions, which are a good mix of easy, moderate, and complex problems. These questions are designed by experts after extensive research making them a perfect study material for class 10 students. Solving all the sums will boost confidence and enable students to score excellent marks.

### What are the Important Formulas in NCERT Solutions Class 10 Maths Chapter 15?

NCERT solutions class 10 maths chapter 15 has two important formulas, i.e., the formula of empirical and theoretical probability. The former has already been studied in the previous classes. In this chapter, students will solve a number of problems based on the theoretical probability that are important from an examination perspective.

### Why Should I Practice NCERT Solutions Class 10 Maths Probability Chapter 15?

The exercises in NCERT Solutions Class 10 Maths Probability Chapter 15 equip the students with adequate knowledge about the occurrence of random events with step-wise and detailed explanations. This will lay a strong foundation for higher class mathematics too. The expert team at NCERT does a lot of research and then compiles the course structure in a way that is easily understood by all, that too in a simple language. With the CBSE board also recommending these solutions, it is advisable that the students must make a habit of practicing these solutions regularly.