Class 12th is the last step, popularly known as Antim Pag of your school life. As overwhelming and exciting it is to finally leave your safe and comfortable cocoon, the challenges that come with the Class 12 curriculum make even the best ones clench their fist. Mathematics of Class 12 is no exception to this.

Introduction of CBSE 12 Applied Mathematics, Numerical Adaptability, Topics such as Permutations and Combinations and Probability in Syllabus will surely take your brain out for a spin. And the thrill just never stops. Coordinate Geometry, Financial Mathematics, Calculus, Quantifications, Theorems such as Laplace and methods like Ranga Kutta never leave your side.

But Fret not, we will take each and every topic as they come and break it down to pieces for you. We will help you with Syllabus, Weightage, Pattern of Questions asked, Preparation tips, Notes, Sample Questions, Sample Papers, and the frequent doubts that cloud you every now and then.

And today, we are taking on a very interesting topic, which is the probability of Applied Mathematics. So first, let us introduce you to Applied Mathematics and its nuances

CBSE Class 12 Applied Mathematics 2020-21

Google it and you’ll know Applied Mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, business, computer science, and industry. In simpler words, Applied Mathematics is any math that is used in subjects other than math. Get it?

Let us try to give you an example. The math that you use in Physics to apply Newton’s Equations, that is Applied Mathematics. Math that you use in statistics to find mean, mode, and median-Applied Mathematics. Calculations that you do in your Physical Chemistry-Applied Mathematics. Math that is used in Experimental biology to state governing equations of events-Applied Mathematics. Math is used to predict the outcome or chances of something happening-Applied Mathematics, and this is what we will be looking at in detail in this article.

The aim of CBSE 12 Applied Mathematics is to promote appreciation and acknowledgment of mathematical universality and simplicity for its applications in diverse fields. Which when said out loud, means-“We just want you to know that Math is used elsewhere too

CBSE Class 12 Applied Maths Probability 2020-21

In the previous section, we dropped a hint of what Probability is all about. To sum it up in the shortest choice of words, the probability is the chance or likelihood of anything happening. Yes, remember when asked about your plan for the evening and you go- “there is a 50 percent chance I might not show up” Well that’s 50% probability of you showing up. If you have ever watched a horse race or paid attention to how betting works, you’d know that it all depends on the probability of one team/horse winning and the other team/horses losing. The whole industry of Betting, Projections of Countries' GDP, Future Forecast of Weather, and other natural events, all of them are based on a topic from your math book. Imagine How cool is that!

CBSE 12 Applied Maths Probability is the most basic form of the phenomena. The aim of the CBSE Class 12 Applied Maths probability section is to introduce you to the concept of Probability and build a strong foundation of concepts involved in it. Once you understand the basics of how probability works, you will be able to predict the outcome of situations and maybe make better judgments in your life. Excited Much?

CBSE Class 12 Applied Maths Probability Syllabus 2020-2021

The course content of CBSE 12 Applied Mathematics aims to help students in developing a sound understanding of applied mathematics. It also aims to use them for describing and analyzing a given set of data. The study of data can be used to further make a meaningful inference. And that is what Applied Maths is all about

Class 11 Applied Mathematics Probability Syllabus talks about events that happen randomly and independent events, like when you choose a shirt in an apparel store. It also includes events that are dependent on something, like when you have to choose glasses that go with that shirt.

Well, the CBSE Class 12 Applied Maths probability Syllabus is an extension to it. It is an advanced level of study of everything you have already learned in Class 11. The majority of Class 12 Applied Mathematics Syllabus includes distribution of events such as Probability Distribution, Binomial theorems, Poisson Distribution, Normal Distribution and others.

  • Probability Distribution
  • Mathematical Expectation
  • Variance
  • Binomial Distribution
  • Poisson distribution
  • Normal distribution
  • Basic applications and inferences

We cannot stress enough on the significance of the Class 12 Applied Mathematics Syllabus. You are advised to learn the syllabus and spend some time with the detailed sub-topics included under the aforementioned Probability Topics of Class 12. A thorough study of the Syllabus of Class 12 Probability will help you keep a realistic assessment of your preparation at any point in time. You will always be up to date with the topics that you have completed and the topics you still have to cover. It will also keep you in your relevant topics lane and you will never deviate from the right path that contains the right topics.

CBSE Class 12 Applied Maths Probability Weightage in Examination

Probability is an elemental part of the Class 12 Applied mathematics Curriculum. It is one of the most important topics asked in the CBSE Class 12 Board Exams. Coming just below Calculus and Financial mathematics, Probability holds 10 marks out of the total 80 marks in your paper. That makes it 12.5% of the total paper. That makes it important for all the students, the ones looking to top, and the ones looking to just get by anyhow.


No. of Periods

Total Marks




Thus, all the students are advised to pay close attention to the teachers in their classes because it is of a high probability that what is being taught in CBSE 12 Applied Mathematics Probability lectures will come in your CBSE 12 board exams

What to expect in CBSE Class 12 Applied Maths Probability Exam?

As mentioned earlier, the Curriculum of Class 12 Applied Maths Probability is devised to encourage you in engaging in mathematical investigations. It also intends to build connections within mathematical topics and with other disciplines.

Thus, you can see topics that involve real-life examples, such as problems on drawing a ball out from a pool of balls or projecting an election result based on the voting, or problems based on a coin toss. You will also be facing questions that involve the direct application of theorems and distribution curves that are mentioned in your syllabus.

Since Applied Mathematics is all about the application of math to other disciplines, you could see a question or two that involve basic concepts from Physics, Chemistry, Biology, Statistics, Economics or other subjects. These concepts will be basic and even a high school level of knowledge will be enough to apply them.

In some questions, you could be required to take the help of graphs, distribution curves, and other standard mathematical models. You will be trained well in advance for such questions.

How to Prepare for CBSE Class 12 Applied Maths Probability?

How you score in your Class 12 Applied Mathematics Probability test depends on how you prepare for it. How you Prepare for the subject depends on what your Preparation Strategy for the subject is. We will discuss some important pointers that you must keep in mind while excelling at CBSE Class 12 Probability. Some of the major pointers are mentioned below:

Study the Syllabus

When we said we could not stress enough on the significance of the Probability Syllabus; we were not lying. It is the most important piece of paper/PDF related to the subject. You are advised to refer to the syllabus every time you are in doubt about the relevance of questions. The syllabus shall be your guiding light in your journey towards acing CBSE 12 Applied Mathematics Probability.

Use real-life examples

Try to involve real-life examples of things happening around you and calculate the probability of them happening. Practising with original events will help you clear your doubts multi-fold and far quicker than your textbook solutions.

Solve a Reference Book

Once you are done with NCERT and exhausted to the limit where you know every question, graduate to a reference book. 

NOTE: this should be done after completing the NCERT Textbook and not before it.

Practise Previous Year papers

Almost as important as CBSE 12 Applied mathematics Probability Syllabus if not more, Previous Year papers help you with the Exam Pattern and trends of questions asked in the examination. Solving Previous Year paper will acquaint one with the Exam Pattern and the methods used to calculate the answer.

Say no to Calculators, Yes to the Pen

The more you solve your problems in your head and on paper, the better you become at it. Consider it as a workout for the brain. This increases your calculation skills and metal storage. Which in turn helps you solve even bigger and more complex questions later.

CBSE Class 12 Applied Maths Probability Notes

Notes are the crux of complex textbook language. Notes comprising important theorems and formulae for subject such as Maths is more important than books at any given time of the day. It saves you time, prevents irrelevant information, and since they are curated for you, you are able to grasp in more in the minimum time possible. A handbook on the day of examination is always handy than heavy textbooks.

CBSE 12 Applied Maths Probability Sample Questions

Follow the Sample Questions of CBSE Class 12 Maths Probability mentioned below. These are types of questions you will be asked in your Class 12 CBSE Board Exams. Questions will be based on sets, relations, Binomial Theorems, Normal and Poisson Distribution, Statistics, Variation, and other formulae based questions.

  1. Given that the events A and B are such that P(A) = 1/2, P (A ∪ B) = 3/5, and P(B) = p. Find p if they are

(i) mutually exclusive

(ii) independent

  1. The probability of solving the specific problem independently by the persons’ A and B is 1/2 and 1/3 respectively. In case, if both the persons try to solve the problem independently, then calculate the probability that the problem is solved.
  2. 5 cards are drawn successively from a well-shuffled pack of 52 cards with replacement. Determine the probability that (i) all the five cards should be spades? (ii) only 3 cards should be spades? (iii) none of the cards is a spade?
  3. A fair die is thrown double times. Assume that event A is “odd number on the first throw” and B the event “odd number on the second throw”. Compare the independence of events A and B

We have already mentioned earlier about the weightage of the Probability section in CBSE Class 12 Board Exams. It holds 12.5% weightage of Class 12 CBSE Maths Board Paper. Thus it is highly advisable to check all the previous year questions and sample papers available to you in order to excel at CBSE Class 12 Maths Exam.

CBSE Class 12 Applied Maths Probability Sample papers

After Completing the Syllabus of CBSE Class 12 Applied Maths probability, one should begin solving Sample papers to get into the exam mindset. We have provided a list of various Sample papers Availed by NCERT and other websites. Tell us in the comment section what more papers do you want and our Subject matter Experts shall prepare them for you.

  • CBSE 12th Class Applied Maths Probability Sample Paper 1
  • CBSE 12th Class Applied Maths Probability Sample Paper 2
  • CBSE 12th Class Applied Maths Probability Sample Paper 3
  • CBSE 12th Class Applied Maths Probability Sample Paper 4

While Solving Practise Papers, it is advisable to clock yourself to make your surrounding examination hall like. You are suggested to imitate examination hall decorum while giving your mock papers. It will create the closest virtual exam environment. And you will be able to keep a calm and composed head during the actual Class 12 CBSE Maths Board Exam.


How many chances are there for the compartment examination in class XII?

There are subsequent three chances of compartment examination in class XII i.e., if a candidate appeared for 2015 examination and placed in compartment then he can appear in July the same year, Second Chance in March/April and Third Chance in July of next year.

What is the pass criteria for Class XII?

Candidates have to pass all five subjects as per Scheme of Studies to be declared Pass.

Can a candidate appear in two or more subjects in compartment examination in class XII?

No, since the compartment exam in class XII is a one day test so candidates can appear only in one subject.

Is a candidate eligible to improve his / her performance?

Yes, a candidate who has passed Class XII examination of the Board may again appear for improvement of performance in one or more subjects. He or she can appear in the main examination in the succeeding year only.

Candidates can appear as a private candidate. Those appearing again for the entire exam can also appear as regular candidate if admitted by the school. The candidate(s) appearing for improvement of performance can appear in the subject(s) in which they have appeared for the Examination.

I have compartment in Physics. Can I appear in Maths?

No, candidates placed in compartment at the Senior School Certificate Examination shall be allowed to appear only in those subjects in which he/she has been placed in compartment.

How does a candidate apply for verification of marks in class XII?

Board permits the following

  1. Verification of marks
  2. Provides photocopy of evaluated answer books
  3. Re-evaluation in identified subjects

For details the website may be seen in due course of time.