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November 21, 2024Exercise 13.1 Class 12 Maths NCERT Solutions: Class 12 Maths Chapter 13 is about Probability. Chapter 13 is a crucial chapter for CBSE Class 12 students to learn. Questions from this chapter are asked every year and hence, from the viewpoint of scoring good marks in the exam, students cannot afford to miss out on this chapter. This article consists of NCERT solutions for Class 12 Maths Chapter 12 Exercise 13.1
The subject matter experts at Embibe have formulated this exercise as per the latest CBSE guidelines. The answers are provided in a stepwise manner. The exercise has been presented to students in a comprehensive manner that is easy for the students to understand. Candidates can learn the lesson and practice the in-text questions provided in the NCERT Solutions. This will help them to get a good understanding of the chapter.
Our experts at Embibe have prepared the lesson on Probability adhering to the latest CBSE guidelines. Our aim is to ensure that candidates can prepare their lessons from any place at their own convenience. Here, we have provided an overview of the NCERT solutions for the Probability chapter so that it is easy for candidates to refer to the chapter.
Class | Class 12 |
Chapter Name | Probability |
Exercise Number | Ex 13.1 |
Topic Name | Introduction to Probability |
Language | English |
Solution Type | In-text Solved Questions |
Official Website | https://ncert.nic.in/ |
Students studying in Class 12 in the CBSE board can prepare for the Chapter 13 Maths Ex 13.1 by studying the lesson from Embibe. They can effectively understand the content of the lesson and practice all the in-text questions provided in the NCERT Maths textbooks.
The content of the lessons in the NCERT books will not only help the students get a proper understanding of the chapter and the concepts that the exercise wishes to deliver to the students but the students will also be able to come out with flying colors after the exam by practicing the in-text questions of the NCERT Solutions for Class 12 Maths Chapter 13 Ex 13.1. The NCERT solutions of Class 12 Mathematics provided in the PDF format at Embibe will also help the students to prepare for the lessons offline. Candidates can also bookmark the solutions to refer to them and study them later.
NCERT Class 12 Maths Solutions are the best resources to prepare for the Class 12 Board examination. The solutions for Chapter 13 of the NCERT Class 12 Maths book are prepared as per the new syllabus structure. The step-step manner of solving the questions of Maths Probability exercise 13.1 Class 12 helps the students in their final examinations. Students can download probability questions and answers PDF for at Embibe. They can go through it anytime, anywhere and this will help them to score good marks in the examination.
Probability is an important chapter of the Class 12 Maths syllabus. Practicing Embibe’s NCERT solutions for Class 12 from this chapter is beneficial to the students in the tryst of scoring good marks for the 2024 -25 board final exams. The other benefits of solving probability problems are provided below:
Exercise 13.1 of Chapter 13, Class 12 Maths deals with Probability. By the end of the chapter, the students will understand the concept of random variables and their probability distribution. They will also learn about the mean and variance of a probability distribution.
In this exercise, we will see how two events of the same random experiment occur at the same place-time continuum and how the events being connected to one another impact the conditional outcome of the desired outcome. Probability situations are very relevant in situations where one comes across Bernoulli Trials. Let us see what are Bernoulli Trials, below:
Bernoulli Trials
In our day-to-day situation, we come across many situations, which are practical but are bizarre in nature. For instance, when a coin is tossed, the result of the toss can either be a head or a tail. When a hen lays an egg, if a certain time if the eggs are hatched or not, the answer can be either “hatched” or “not hatched”. When we buy a product and bring it home, we can either find that the product is “defective” or “non-defective”. Our everyday decisions always consist of a “yes” or a “no” to a situation. In all such scenarios, one outcome is referred to as “success” and the other is referred to as “failure” or “no success” and the event that is leading to one of these answers is called a test.
If there are repetitions in the occurrence of the same event, there can be multiple results. Suppose, a coin is tossed ten times. All ten times, the toss result may not be the same. Sometimes, the toss result can show “head” and at other times, it can show “tail”, or in other words “success” or “failure” to attain the desired results. Note that the result of any test occurs independently and each of these tests can have only one of the two specific results. These tests are known as the Bernoulli Test.
The exercise on Probability provides a clear understanding of the concept and the properties of Conditional Probability. Conditional Probability refers to the chances of the occurrence of an event or an outcome based on an event or an outcome that has already taken place.
The concept of Conditional Probability finds application in various day-to-day situations of Bernoulli trials. A student finds the knowledge of probability useful in understanding Bayes’ Theorem, multiplication rules of probability, and independence of event occurrences. Conditional Probability finds use in Binomial Distribution, and the importance of discrete probability distribution.
Probability is an important chapter in Class 12 Maths. Students will learn everything they need to know about Conditional Probability and its applications in daily life scenarios in this chapter. They can find out the chances of occurrence of an event based on a previous event, mean and variance of probability distribution.
Q.1: What does NCERT Solutions for Class 12 Maths Chapter 13 Exercise 13.1 deal in?
Ans: NCERT solutions for Chapter 13 Exercise 13.1 of Class 12 Maths introduces the students of Class 12 students to the concept of Probability.
Q.2: Where can I get Probability Class 12 NCERT solutions for Class 12 Maths for?
Ans: Candidates can find NCERT solutions on Chapter 13, Exercise 13.1 of Class 12 Maths for on Embibe.
Q.3: Is practicing NCERT Solutions for Chapter 13 Exercise 13.1 of Class 12 Maths sufficient to clear CBSE Class 12 board exams?
Ans: Yes, candidates who solve the in-text questions of CBSE NCERT solutions of Class 12 Maths will be able to score well in their Class 12 Board exams. They will find various types of problems on probability with solutions on the Embibe NCERT solutions book for Class 12 Maths.
Q.4: Can candidates follow NCERT Solutions for Chapter 13 Exercise 13.1 if they have not referred to any other book for the Class 12 Board exams?
Ans: Yes, the sums are solved in a stepwise procedure. When candidates understand each step of the process that leads to the answer, they are able to strengthen their concept of the question asked.
Q.5: How will NCERT Solutions for Class 12 Maths Chapter 13 Exercise 13.1 help the candidates score good marks in the CBSE Class 12 exams?
Ans: The subject matter experts at Embibe have looked into the various types of questions from Probability that can be asked by the framers of the question papers. All of these types have been worked on, in the NCERT solutions. The SMEs have provided various types of probability examples and solutions that will prove to be helpful to the students.
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