NCERT Exemplar Class 12 Maths Solutions Chapter 13 Probability
NCERT Exemplar Class 12 Maths Solutions Chapter 13 deals with the possibility of occurrence of any event or explains how likely it is for an event to occur. The possibility of occurring or not occurring of any event cannot be predicted but can be displayed in the form of probability with the absolute level of certainty. Probability of any event is a number between 0 to 1 where 0 shows the absolute impossibility of an event, and 1 shows the maximum chances of happening of an event certainly. NCERT Exemplar Class 12 Maths Solutions Chapter 13 help students to interrelate such knowledge with real-life problems and display the application of such knowledge in different lives scenarios and situations along with enhancing decision-making at an efficient level.
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Also, read NCERT Class 12 Maths solutions
NCERT Exemplar Solutions For Class 12 Maths Chapter 13 provided here for the NCERT books are very useful and detailed from the point of view of aiding practice, preparation and working for Board exams as well as the JEE exams.
NCERT Exemplar Class 12 Maths Solutions Chapter 13 PDF download are also available for students for extended learning. The topics covered are as follows:
- Conditional Probability
- Properties of conditional probability
- Multiplication theorem on probability
- Independent events
- Bayes’ Theorem
- Partition of a sample space
- Theorem of total probability
- Random Variables and its Probability Distributions
- Probability distribution of a random variable
- Mean of a random variable
- Variance of a random variable
- Bernoulli Trials and Binomial Distribution
- Bernoulli trials
- Binomial distribution
What will the students learn from NCERT Exemplar Class 12 Math Solutions Chapter 13 ?
Today’s society has adopted a very practical approach to life and has understood the principle of chance in nature. Similarly, the importance of studying probability could be inferred from the basic lives of people which displays a great example at how there is a constant need to understand the possibility and extract information out of it for one’s benefit. NCERT Exemplar Class 12 Math Solutions Chapter 13 will help students to understand each topic in a better way. Such instances of life display the necessity and importance of learning the concept of probability or possibility of any event to make important decisions in their life and how they are drawn based on chances. Such as in life you come across a lot of data which need to be interpreted, and decisions are to be extracted out of such data on the basis of probable thinking which necessitates the learning of probabilistic thinking.
NCERT Exemplar Class 12 Math Solutions Chapter 13 are easy to grasp and can be helpful in scoring well in the exams. It is not only theoretical/academic oriented but provides a great exposure regarding the nature of chance and variation in life when you encounter such situations in real life. It also develops and exhibits real-life situations teaching the art of risk analysis and management, providing a better approach towards understanding risks in real life and displaying relative chances of events in one’s life. This topic also helps in scientific reasoning and also has its imprint in various fields such as engineering, mathematician, research analyst, etc. Probability also supports statistics and helps improve and analyze data-driven decision-making skills for real life.
NCERT Exemplar Class 12 Maths Solutions
Important topics to cover from NCERT Exemplar Class 12 Math Solutions Chapter 13
- Class 12 Math NCERT Exemplar Solutions Chapter 13displays important concept including that of the conditional probability of any event given that another event has already occurred which will be helpful in understanding different theorems relating to probability, multiplication rule of probability, independence of events and discrete probability distribution also known as Binomial distribution.
- NCERT Exemplar Class 12 Math Solutions Chapter 13 also highlights the concept of the random variable, its probability distribution and also the mean and variance of any probability distribution.
NCERT Exemplar Class 12 Solutions
Also, check NCERT Solutions for questions given in book:
Frequently Asked Question (FAQs) - NCERT Exemplar Class 12 Maths Solutions Chapter 13 Probability
Question: How can probability be useful?
Understanding probability can be highly effective in solving real life problems and also in understanding higher education topics.
Question: How many questions are included in solutions?
All these questions that are mentioned in the main exercise after the chapter and in the additional question section are solved in NCERT exemplar class 12 maths solutions chapter 13.
Question: Are these questions helpful in board exams?
Yes, these solutions are highly useful for board exams as it helps in learning the steps and the way the CBSE wants students to solve questions.
Question: Are these questions useful in competitive exams?
Yes, these NCERT exemplar class 12 maths solutions chapter 13 pdf download are useful in entrance exams for engineering and also are helpful for many other competitive exams.
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Questions related to CBSE Class 12th
if any candidate has compartment in cbse any one subject but then candidate passed compartment exam then he / she is not eligible for upcet exam
If a candidate has cleared that compartment exam, then he/she is eligible for the exam. As the final result will not include your compartment result, it will depict your overall result after passing the compartment or reappear marks.
Hope this helps.
Good Luck :)
when cbse class 12 date sheet will be released for 2020-21
Central Board of Secondary Education (CBSE) will release the CBSE term 1 exam dates 2021-22 on October 18 on the official website- cbse.gov.in. The exams are expected to begin from November 15 and go on till December 2021. Once released, the CBSE Class 12 date sheet 2022 will be made available on our website for students and parents. Students preparing for the CBSE Class 12th board exams 2022 should download and save the date sheet and refer to it for preparation of different subjects.
Hope this helps!
CBSE class 12th exam date 2022
CBSE 12th mock test papers
Question Cloud — India’s Largest Online Test Portal, gives CBSE 12th Exams Online Mock Test (https://www.blogger.com/blog/post/edit/4308806042552194435/1634209462036397168?hl=en#) . As per official updates, Term 1 Class 12 board exams 2021–2022 are scheduled in November & December. It is necessary that one must perform well in their exams that need prior practice to be with full confidence to pose the better performance. The practice of preparations includes a better understanding of the concepts, a regular habit of reading and learning, and an assessment of your knowledge. To get a better assessment online, Questioncloud (https://www.blogger.com/blog/post/edit/4308806042552194435/1634209462036397168?hl=en#) is the best and first choice for over 1.2 million students. Questioncloud includes a mock test of classes from 6th standard to 12th standard of all subjects. And the major subjects like Maths, Physics, Chemistry, Biology have the additional stuff of questions for practice. For more information, visit: https://www.questioncloud.in/home (https://www.blogger.com/blog/post/edit/4308806042552194435/1634209462036397168?hl=en#)
In Neet 2021 phase 2 details, the selection for code for class 12th is quite confusing. It is for CBSE class 12th 2021 passed out. so what code should be entered. can you clarify this
You need to choose the code 2 .
This is because,
Now your results are out and you have passed it and code 2 says it is for all those who have passed their 10+2/higher /senior secondary/ Indian School Certificate Examination with physics, chemistry, biology/biotechnology and English
Here's a short brief of Neet codes :-
--------) Code 1 :- code 1 is for class 12th board 2021 examination appearing students with physics, chemistry, biology and English or have have already appeared but results are awaited i. e have not been declared.
--------) Code 2 :- code 2 is for all those who have passed their 10+2/higher /senior secondary/ Indian School Certificate Examination with physics, chemistry, biology/biotechnology and English
--------) Code 3 :- code 3 says it is for those passed their intermediate / pre- degree examination with physics, chemistry, biology/biotechnology and English ,your physics, chemistry and biology/biotechnology should also contain practical exam.
--------) Code 4 :- pre - medical degree with Physics, chemistry and biology/biotechnology after passing hsc i. e 10+2 or puc or equivalent.
--------) Code 5 :- code 5 is for all those who have passed 1 st year graduation with all the three of Physics, chemistry and biology/biotechnology
--------) Code 6 :- code 6 is for all those students who have passed BSc with at least any two of following subjects :-
--------) Code 7 :- code 7 is for those who have passed their examination from foreign board which is equivalent of Indian 10+2 board.
For more about codes visit
Your neet 2021 application/registration is divided in 2 parts:-
1st part/phase of registration to be filled before neet 2021 examination
2nd part/phase registration to be filled after neet 2021 examination
NTA has opened the window for neet phase 2 cum phase 1 correction on 1st october 2021 and the last date for it is 10th October upto 11:50 pm
To fill neet phase-2 registration, you can follow the below steps:
-----------) First of visit the official website i. e neet.nta.nic.in
-----------) Then click on NEET phase -2 registration.
To make it even easier for you the direct link is given below :- https://testservices.nic.in/NEET2021/Root/home.aspx?appFormId=101042111
-----------) Now, log in using your log in credentials
-----------) Fill the details asked , recheck everything.
-----------) Finally, click on the submit button.
For details checkout
------------------) Documents to be uploaded in part/phase 2 of application form filling
>>>>>>Your Class X pass certificate
size: 50 kb to 300kb
>>>>>>category certificate if you belong to ews/ obc /sc/st
size: 50kb to 300kb
>>>>>>PwBD certificate ( if applicable)
size: 50kb to 300kb
>>>>>> Citizenship certificate or Embassy certificate or any kind of Documentary proof for Citizenship certificate ( for foreign applicants)
file size: 50 kb to 300 kb
For complete details about documents visit :- https://medicine.careers360.com/articles/neet-photo-size-format-documents
To help you further,
last 3 years neet qualifying cut off data is given below for reference
. Year wise cut off marks
Category 2020 2019 2018
General 720-147 701-134 691-119
UR-PH 146-129 133-120 118-107
Obc/sc/st 146-113 133-107 118 - 96
You can check the same at
To get the complete list of colleges in which you have chances, you can go through our college predictor at
It gives you a personalized report with top college in which you have chances for admission , with the help of predicted colleges you can make better choice while filling your choices of colleges during your counselling
jac class 12 th Compamental result 2021 declare date
Hope you are doing well.
JAAC 12th compartment results will be announced in September 2021 by the Jharkhand Academic Council. The compartment results for the 12th board of examination will be available online at jacresults.com, the official result website. It is possible for students to check the JAC inter compartment result 2021 in the same way that they can check the annual JAC 12th result 2021.
To view the JAC 12th compartmental result 2021, they must first enter their roll number and roll code. July 2021 will be the date for the 12th compartment examination of the Joint Assessment Commission. The results of the JAC intermediate compartment were announced online on December 29, 2020, which was the same date as the previous season.
Hope you got the answer to your question. Incase of any queries, feel free to question. Have a great day!