# NCERT Solutions for Class 10 Maths Chapter 15 – Probability

In NCERT Solutions for Class 10 Maths Chapter 15, you will get to know about different terminologies used for solving problems related to probability. CBSE Class 10 Maths Chapter 15 discusses event and outcome, experimental probability, theoretical probability, elementary event, and much more. From this chapter, you will learn about the different methodologies used for estimating probabilities of various events. Our prominent Mathematics experts** **have drafted smart and systematic** **NCERT Solutions for Class 10 Maths Chapter 15- Probability. These solutions follow the guidelines of the CBSE Class 10 Maths Syllabus. They are easy to understand and 100% accurate.

There are 2 comprehensive exercises at the end of the chapter. These exercises cover all topics from the chapter, and they cover all possible question types that are important from an exam point of view. Our all-inclusive NCERT Solutions answer all questions of both the exercise in detail and in a step by step manner to induce effective, fast and effortless learning. They have been devised in a manner to keep your doubts clear and keep your conceptual foundation sturdy. This will be useful for learning more complex topics in higher classes.

Our Maths shortcuts and effective study strategies will definitely help you prepare well for your board exams and score high. Our NCERT Solutions use the best methods of solving numerical. They are premium quality study material that makes learning a fun, interesting and highly fruitful process. They not only help you become thorough with the chapter but help you keep all board exam related anxieties away.

## NCERT Class 10 Maths Chapter 15

NCERT Solutions for Class 10 Maths Chapter 15- Probability elaborates on different fundamental and advanced concepts of probability. Complete understanding of the topics included in CBSE NCERT Class 10 Maths Chapter 15 will help in understanding more complex theories and probability taught in the higher classes. Some topics covered in this chapter have been discussed below.

**Event and outcome**

This section of CBSE NCERT Class 10 Maths Chapter 15 explains the two most important terms of this module outcome and event. The outcome is defined as a result of an experiment, whereas an event is defined as a collection of outcomes.

**Experimental probability**

In this part of Probability, you will learn about the experimental probability that you can use for events that repeat a large number of times. You will also learn the concept of a trial experiment, which is also called empirical probability. Experimental probability has been expressed below.

Experimental or empirical probability: P(E) =Number of trials where the event occurred/Total Number of Trials

**Theoretical probability**

In this section of the CBSE NCERT Class 10 Maths book, you get to know about theoretical probability and the method of calculating it. In theoretical probability, the outcomes of the experiment are equally likely. Theoretical probability has been expressed below.

Theoretical Probability: P(E) = Number of Outcomes Favourable to E / Number of all possible outcomes of the experiment

**Elementary event**

In this section of the chapter**, **the concept of the elementary event is explained. Events with only a single outcome are defined as elementary events.

**Sum of probabilities**

In this part of the CBSE NCERT Class 10 Chapter 15, you get to know about the sum of probabilities. Here you will get to know that the sum of probabilities of every elementary event is 1. Under this topic, you will get the knowledge about the impossible event, sure event, and how to add a range of probability to an event.

**Geometric probability**

In this section of NCERT Solutions for Class 10 Maths Chapter 15- Probability, you will study geometric probability, which is the calculation of the chances one will strike a specific area of a figure. It is calculated by the division of the desired area by total area. Geometric probability usually has infinite outcomes.

**Complementary events**

Under this topic of NCERT solutions for class 10, you will get to learn about complementary events that have only two possible outcomes. Activities like flipping a coin can be categorized as complementary events.

### NCERT CBSE Class 10 Maths Chapter 15 Exercises

NCERT Solutions for Class 10 Maths Chapter 15-Probability answers all questions of both the exercises given at the end of the chapter in a step by step manner. The composition of the exercises has been given below.

**Exercise 15.1**

This exercise, NCERT Solutions for Class 10 Maths Chapter 15- Probability, comprises 25 questions, which include both objective type and long answer questions. Question 1 is fill in the blanks. Here you will have to read the given statements and complete accordingly. Question 2 asks you which of the given events have equally likely outcomes. In Question 3, has also been asked from the concept of the elementary event. In question 4 you have to find out which is not a probability of an event from a given set of fractions. This is an MCQ. Questions 5 to Question 11 are small numerical based on probability. Some of them are direct, and some are scenario-based questions.

12 to 25 are long answer type questions where you will have to solve numerically related to different concepts of probability. This exercise of CBSE NCERT Class 10 Chapter 15 is beneficial for developing a complete understanding of the concept of probability and their applications.

**Exercise 15.2**

This exercise of CBSE NCERT Class 10 Maths Chapter 15- Probability comprises 5 questions that cover the different topics of probability. All the questions are long answer types. You will have to solve the numerical problems according to the given instructions and find out the answer. Correct solution: all the questions are provided at the end of the NCERT CBSE Class 10 Maths Chapter 15 for easier understanding and faster doubt clearance.