NCERT Solutions for Probability Exercise 16.3 Class 11 Maths

Exercise 16.3 Class 11 Maths: The Chapter Chapter 16 of Class 11th NCERT is Probability. Different exercises in this chapter deal with different concepts of Probability. Embibe brings you the NCERT Solutions for Probability 16.3 Class 11 which is based on the Axiomatic approach to Probability. The NCERT Class 11 Maths Solutions are prepared by experienced subject-matter experts who have taken care of all the needs of the students.

Embibe’s NCERT Solutions for Exercise 16.3 Class 11 Maths will help the students to understand the concepts better and perform better in class. Students can also take the help of Embibe’s NCERT solutions for Class 11 Maths to complete their homework and score good marks in their CBSE Class 11th exams. The article also provides a PDF for Exercise 16.3 Class 11 Maths NCERT Solutions that can be accessed offline as well.

NCERT Solutions for Probability Exercise 16.3 Class 11 Maths: Overview

Exercise 16.3 Class 11 Maths NCERT Solutions will provide you with sufficient and easy to understand answers to all the questions. The students can save the PDF of Ex 16.3 class 11 solutions and access them anytime they need help with the chapter. Before getting to the detailed solutions, let us have an overview of NCERT Solutions for Probability Exercise 16.3 Class 11 Maths in the table provided below. 

NCERT Solutions for Probability Exercise 16.3 Class 11 Maths: PDF Download

The most effective way to get a hold of a topic in CBSE Class 11th Mathematics is to practice a good number of questions on it after going through the fundamental concepts and important formulas. Solving multiple questions on a topic not only helps students understand the concept better but also familiarises them with different types of questions that can be asked in the exam. 

Sometimes, the questions are asked straight from the exercises given at the back of the chapters. So, it is also advisable for all the CBSE board students to not miss a single question from NCERT exercises. Solve all the NCERT Exercise 16.3 Class 11 questions with Embibe’s NCERT Solutions PDF prepared by the brilliant subject matter experts at embibe. As the PDF files can be easily accessed offline, candidates should save them for future reference. Find the PDF for Probability Exercise 16.3 below:

NCERT Solutions for Probability Exercise 16.3 Class 11 Maths: Advantages/ Benefits

All CBSE Class 11th students should go through Embibe’s NCERT Solutions for Probability Class 11 as they are very beneficial for Class 11th CBSE exam preparations. Coordinate Geometry is a part of the syllabi of most of the competitive exams that the students appear for after class 12th. Every competitive exam candidate must go through NCERT Books thoroughly to develop a deep understanding of the fundamental concepts of a topic. So, it becomes essential for students to solve each and every question from NCERT Exercises. 

Some of the major benefits of NCERT Solutions for Probability Exercise 16.3 Class 11 Maths are given below:

• A team of the most brilliant and experienced subject matter experts has prepared the NCERT Solutions for Class 11 Maths Exercise 16.3. They have utilized their experience to develop the most effective and easy to understand solution for every question of this exercise.

• The NCERT Solutions for Exercise 16.3 Class 11 Maths are aligned with the latest guidelines of the CBSE board.

• NCERT Class 11 Maths Solutions provides the students with a step-by-step method to solve the questions, making it easier for them to understand how to arrive at the final answers.

• The PDF files of The NCERT Solution for Exercise 16.3 Class 11 Maths provided in this article will come in handy for last-minute preparation.

• Embibe’s PDF NCERT Solutions for Class 11 Maths Probability Exercise 16.3 also help students to revise the chapter effectively before their unit tests or final exams.

• A deep analysis of concepts and important questions based on them, along with their weightage in the final exams, is being provided by Embibe in its NCERT Solutions.

• The NCERT Solutions of Embibe can be accessed anytime and can be downloaded by the students absolutely of cost from this post. 

• These NCERT Solutions are very beneficial in preparing for competitive exams like NEET, JEE Main, BITSAT, etc. The exam conducting authorities have asked questions directly from NCERT Books in recent years. Candidates who have gone through NCERT Solution can solve those questions within seconds.

• Along with the NCERT Solutions for every exercise, Embibe also provides the students with chapter-wise mock tests or sample papers. This way, the students get extra questions to practice with and also get themselves familiar with the pattern of the final exam.

About NCERT Solutions for Probability Exercise 16.3 Class 11 Maths

Exercise 16.3 of Class 11 NCERT Books is based on the Axiomatic approach to Probability. The axiomatic approach is another way of describing the probability of an event. In this approach, some axioms or rules are depicted to assign probabilities. 

Let S be the sample space of a random experiment. The probability P is a real-valued function whose domain is the power set of S and range is the interval [0,1] satisfying the following axioms: 

(i) For any event E, P (E) ≥ 0 

(ii) P (S) = 1 

(iii) If E and F are mutually exclusive events, then P(E ∪ F) = P(E) + P(F). 

It follows from (iii) that P(φ) = 0. To prove this, we take F = φ and note that E and φ are disjoint events. Therefore, from axiom (iii), we get 

P (E ∪ φ) = P (E) + P (φ) or 

P(E) = P(E) + P (φ) i.e. P (φ) = 0. 

Let S be a sample space containing outcomes 1 2 , ,…, ω ω ωn , i.e., 

S = {ω1 , ω2 , …, ωn } 

It follows from the axiomatic definition of probability that 

(i) 0 ≤ P (ωi ) ≤ 1 for each ωi ∈ S 

(ii) P (ω1 ) + P (ω2 ) + … + P (ωn ) = 1 

(iii) For any event A, P(A) = ∑ P(ωi ), ωi ∈ A.

NCERT Solutions for Probability Exercise 16.3 Class 11 Maths: FAQs

Here are the most frequently asked questions about NCERT Solutions for Probability Exercise 16.3 Class 11 Maths:

Que 1. From where can I download NCERT Solutions for Class 11 Maths?

Ans. Students can download NCERT Solutions for Probability 16.3 Exercise Class 11 Maths prepared by the brilliant subject matter experts at embibe. The link to download the PDF is provided in the article above.

Que 2. Where can I find detailed solutions for Maths Exercise 16.3 Class 11?

Ans. The detailed solutions for all the questions of Probability Exercise 16.3 Class 11 are provided in this article. Students can also download the PDF file to access the solutions offline.

Que 3. Are NCERT Solutions for Class 11 Maths sufficient to prepare for CBSE final exams?

Ans. Yes, NCERT Solutions for Class 11 Maths are sufficient to prepare for CBSE final exams are they have covered each exercise of every chapter of Class 11 Maths.

Que 4. Is it possible to score full marks in CBSE Class 11 Maths exam by reading just NCERT solutions?

Ans. Yes, if you practice all the questions provided in Embibe’s NCERT Solutions for Class 11 Maths, you can score full marks in CBSE Class 11 Maths exam.

Que 5. Where can I find the NCERT solutions for Probability Exercise 16.2 and other exercises?

Ans. You can find NCERT solutions for Probability Exercise 16.2 and all the other exercises at Embibe.

Que 6. How will NCERT Solutions for Class 11 Maths Chapter 16 Exercise 16.3 help me score good marks in the CBSE Class 11 exams?

Ans. Students can score good marks in their final exams by practicing a good number of questions on each topic after going through the fundamental concepts and important formulas. Solving multiple questions on a topic not only helps them understand the concept better but also familiarises them with different types of questions that can be asked in the exam.

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