##### VMC VIQ Scholarship Test

ApplyRegister for Vidyamandir Intellect Quest. Get Scholarship and Cash Rewards.

Edited By Ramraj Saini | Updated on Mar 22, 2022 05:49 PM IST

Class 11 Math chapter 16 notes are regarding Probability. In chapter 16 we will be going through the probability and outcomes concepts in Probability Class 11 notes. This Class 11 Maths chapter 16 notes contains the following topics: sample space, outcomes, events, types of events like simple, exclusive, exhaustive, exclusive, and exhaustive events, axiomatic approach, probability of an event, and Addition rule. NCERT Class 11 Math chapter 16 notes discuss probability using different theorems and addition, multiplication, and subtraction methods.

**JEE Main Scholarship Test Kit (Class 11): Narayana | Physics Wallah | **

**Suggested: ****JEE Main: high scoring chapters | ****Past 10 year's papers**

**Scholarship Test:** **Vidyamandir Intellect Quest (VIQ)**

NCERT Class 11 Math chapter 16 notes have covered every topic from an exam point of view. NCERT notes for Class 11 Math chapter 16 textbook explains all the topics with examples that make them easy to understand. FAQ’s that are frequently asked questions by students collected from different places. CBSE Class 11 Maths chapter 16 notes help students to refer to them quickly to give a recap of all the topics with examples. Downloading them from Class 11 Maths chapter 16 notes pdf download, Probability Class 11 notes, Class 11 Probability notes pdf download.

**Also, students can refer,**

- NCERT Solutions for Class 11 Maths Chapter 16 Probability
- NCERT Exemplar Class 11 Maths Chapter 16 Probability

**Random Experiment:**

To say it is a random experiment it must satisfy the following rules:

It has more than one outcome.

It’s outcomes cannot be predicted.

**Outcomes:**

The solution of the experiment is called outcome.

**Sample Space:**

The set of all possible chances or outcomes is called sample space.

**Event:**

Part of the sample space is called an event.

**Events are of different types:**

Impossible and sure events: The empty set Φ, sample space S are known to be the events. Φ is known as an impossible event and S, which is called the whole sample space, is called a sure event.

JEE Main Highest Scoring Chapters & Topics

Just Study 40% Syllabus and Score upto 100%

Download EBookSimple Event: Each outcome that belongs to the sample space is called the simple or elementary event. An event with only one event or outcome is said to be a simple event.

Compound event: An event with more than one outcome is called a compound event.

Complementary events: If we have an event called A then we also have a complimentary event called A’ which denotes the complementary events.

Event A or B: If we consider either A or B events then they are represented as A∪B.

Event A and B: If we consider the intersection of A and B events then they are represented as A∩B.

Event A, not B: If we consider only A excluding the elements of B then we represent the events as A-B.

Mutually Exclusive Events: When we have two events named A and B, and if the intersection of the outcomes of the events A and B is “null” or Zero is called Mutually exclusive events. They are disjoint events. P(A∩B) = 0

Mutually exhaustive events: Let S be the sample space and the events of the space be E

_{1}, E_{2}, E_{3},...................., E_{n}are said to be exhaustive events if E_{1}∪ E_{2}∪ E_{3}∪………. ∪ E_{n}= S.

Mutually exclusive and exhaustive events: If E

_{i}∩E_{j}= ∅ that is if they are disjoint and ∑E_{i}= S then the events are called mutually exclusive and exhaustive events.

**Axiomatic Approach To Probability:**

Let S be a sample space with probability P with the function f be a real-valued with domain S and range be in the interval of [0,1] should satisfy the axioms below:

P(E) ≥ 0 (or) 0 ≤ P(E) ≤ 1

P(S) =1 that is P(E1) + P(E2) + P(E3) +..........+P(N) =1

P(A) = ∑ P(w

_{i}) where w_{i}is the elementary event.

**Probability of An Event:**

S be the sample space, E be the event, and n(s)= n and n(E)=m

Then the probability of the event= P(E)

Odd number of outcomes in favor of the event: m : (n-m)

Odd number of outcomes against the event : (n-m) : m

Probability of the event that does not occur or take place : P(A)= 1- P(A)

**Addition Rule :**

Probability of event A or B :

P(A∪B) = P(A) + P(B) - P(A∩B)

Probability of event A or B or C :

P(A∪B∪C) = P(A) + P(B) +P(C)-P(A∩B)-P(B∩C) - P(A∩C) + P(A∩B∩C)

If A, B are mutually exclusive events: Then P(A∪B) = P(A) + P(B)

Since A∩B in an exclusive event is zero or null.

With this topic we conclude NCERT Class 11 chapter 16 notes.

The link for NCERT textbook pdf is given below:

URL: ncert.nic.in/textbook/pdf/kemh116.pdf

NCERT Class 11 Maths chapter 16 notes will be very much helpful for students to score maximum marks in their 11 board exams. In Probability Class 11 chapter 16 notes we have discussed many topics: sample space, outcomes, events, types of events like simple, exclusive, exhaustive, exclusive, and exhaustive events, axiomatic approach, probability of an event, and Addition rule. NCERT Class 11 Maths chapter 16 is also very useful to cover major topics of Class 11 CBSE Maths Syllabus.

The CBSE Class 11 Maths chapter 16 is about finding the probability using different methods and theorems. FAQ’s most frequently asked questions regarding founder, real-life examples, applications, theorems are discussed. Probability Class 11 chapter 16 pdf download helps students in referring to it in a short span even before the exams as a quick review.

NCERT Class 11 Maths Chapter 3 Notes |

- NCERT Exemplar Class 11 Solutions
- NCERT Exemplar Class 11 Maths
- NCERT Exemplar Class 11 Physics
- NCERT Exemplar Class 11 Chemistry
- NCERT Exemplar Class 11 Biology

- NCERT Solutions for Class 11 Mathematics
- NCERT Solutions for Class 11 Chemistry
- NCERT Solutions for Class 11 Physics

1. What are the applications of Probability Class 11 notes in real life?

Applications of probability in our real-life are: sports, weather reports, blood samples, toss in a game, etc.

2. Few games in which probability NCERT Class 11 Math chapter 16 used?

Probability is used in the games like ludo, snake and ladder, cricket, playing cards, etc

3. Name of the Mathematicians who invented Probability Class 11 Math chapter 16 notes?

Blaise Pascal and Pierre de Fermat are the two french mathematicians who invented Probability.

4. Can the probability of an event be greater than 1 according to ncert class 11 maths chapter 16 notes?

No, it is always less than or equal to 1 but cannot be greater than 1.

5. What are the three basic rules used in probability NCERT notes for Class 11 Math chapter 16 and ncert notes for Class 11 Maths chapter 16?

Addition, multiplication, and complement are the three basic operations that we use in probability.

6. What is the range of probability of an event to occur in Class 11 Maths chapter 16 notes and notes for Class 11 Maths chapter 16?

The probability of an event can be from 0 to 1.

0 ≤ P(E) ≤ 1

It cannot be less than 0 or greater than 1.

Application Date:09 September,2024 - 14 November,2024

Application Date:09 September,2024 - 14 November,2024

Admit Card Date:04 October,2024 - 29 November,2024

Admit Card Date:04 October,2024 - 29 November,2024

Get answers from students and experts

Register for Vidyamandir Intellect Quest. Get Scholarship and Cash Rewards.

As per latest 2024 syllabus. Physics formulas, equations, & laws of class 11 & 12th chapters

As per latest 2024 syllabus. Chemistry formulas, equations, & laws of class 11 & 12th chapters

Accepted by more than 11,000 universities in over 150 countries worldwide

Register now for PTE & Unlock 20% OFF : Use promo code: 'C360SPL20'. Valid till 15th NOV'24! Trusted by 3,500+ universities globally

As per latest 2024 syllabus. Study 40% syllabus and score upto 100% marks in JEE

News and Notifications

Back to top