# RD Sharma Class 10 Chapter 13 Solutions (Probability)

Our RD Sharma Class 10 Maths Solutions Chapter 13 – Probability is one of the best study material for your board exam preparation. In this chapter, you learn about the theoretical approach of probability. It explains the difference between experimental probability and theoretical probability through various examples. You will also learn that experimental or empirical probabilities are estimates based on the results of actual experiments. This chapter also teaches you that the probability of a certain event is 1 and that of an impossible event is 0. It also educates you about elementary and complimentary events.

You will find 2 exercises containing 69 questions in chapter 13 of RD Sharma Class 10 Maths Solutions Book All of these questions are considered to be very important to solve as they cover both fundamental and tough concepts of probability. The questions are based on concepts of the theoretical approach to probability, random experiments, events, the possible outcome of an event, compound event etc.

Our solutions to the questions asked in RD Sharma Class 10 Maths Probability are given in a step by step manner to help you learn easily and effectively. They assist you in scoring high marks in your Class 10 Maths board exams. The solutions can be used as study material for examinations as well as verify your own worked-out solutions of these questions. It is advised that you go through the RD Sharma Class 10 Solutions regularly to excel in the class 10 board examination and build a strong conceptual base.

## RD Sharma Class 10 Maths Probability: Important Topics

The theory of probabilities is a challenging and interesting field of mathematics, and it also has great practical importance. Details of the concepts covered in this chapter are discussed below –

**Probability — A Theoretical Approach**

Here you learn that in a theoretical approach, the occurrence of any event is predicted without actually performing the experiment. It is assumed that the outcomes of an event are equally likely. We can associate the empirical interpretation of probability to all of those events whose outcomes can be determined by repeating the experiments for a large number of times. Here you also learn that the experimental probability of an event approaches its theoretical probability when the number of trials of an experiment is very large.

Empirical probability P(E) of an event E is given as –

P(E) = (Number of trials in which the event took place) / (Total number of trials)

This section of the chapter also teaches you that the theoretical probability which is also known as the classical probability of an event E can be given as –

P(E) = (Number of outcomes favourable to E) / (Number of all possible outcomes of the experiment)

**Sum of Probabilities**

You learn here that the sum of the probabilities of all the elementary events of an experiment is 1. This chapter further tells you that if E and Ē are complementary events then P (Ē) = 1 – P(E).

**Impossible Event, Sure Event and Elementary Event**

Further, you learn that the probability of an event which is impossible to occur is 0 and such an event is known as an impossible event.

The probability of an event sure to happen with a value of 1 is called a sure event or a certain event.

You come to know here that in general the probability of any event E is given by a number P(E) where 0 ≤ P (E) ≤ 1.

Next, you learn that an elementary event is an event having only one outcome and the total of the probabilities of all the elementary occurrences together for an experiment come out to be 1.

This chapter also explicitly elaborates about complementary events and geometric probability.

### RD Sharma Class 10 Maths Chapter 13: Exercise-Discussion

After learning the topics given in the CBSE Class 10 Maths Syllabus, you must attempt to solve an ample number of questions from each topic to practice thoroughly. Our solutions for RD Sharma Class 10 Maths Chapter 13 exercises let you analyze your level of preparation and understanding of concepts. There are 2 exercises in this chapter. The components of the exercises are given below.

**Exercise 13.1 **

This exercise contains a total of 63 questions. Questions 1 to 9, 11 – 17 and 20 are direct questions asking you to determine probabilities of different experimental and real-life situations. Question 10 asks you to use your higher-order thinking skills to solve the problem based on numbers. Questions 18, 19 and 25 are based on probable combinations of playing cards. Question 21 asks you to use your higher-order thinking skills to solve the problem based on the game of chance. Questions 22 to 63 utilize your higher-order thinking skills for solving more complex questions based on the learnt concepts.

**Exercise 13.2**

This exercise consists of 6 questions. All of these questions are based on geometrical figures and their parameters. These use your higher-order analytical skills to evaluate the information given and find out the required solution.

### Benefits of RD Sharma Class 10 Maths Solutions for Chapter 13 – Probabilities

- After referring to our solutions, all of your doubts would be clarified, and your concepts will be crystal clear.
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- Our RD Sharma Solutions give you a sufficient amount of practice and help you obtain an in-depth understanding of the chapter.
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- They cover all the topics and subtopics of this chapter and gives meticulous and detailed answers to all the questions asked in the chapter.
- Our RD Sharma Class 10 Maths Solutions for Chapter 13-Probability have been devised to make learning Maths fun, interesting, stimulation and an enjoyable process.
- They cover a wide range of question types from Class 10 Maths Probability important from exam point of view and help you build a strong conceptual base.