CBSE board has introduced Applied Maths as a new optional subject for the Class 12 Commerce stream. Probability is one among the topics included in the subject. 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.

To help you better understand the probability topic, we have provided the detailed syllabus, weightage, the pattern of questions asked, preparation tips, sample papers, and sample questions in this post.

What is Applied Maths Probability & its Applications?

Probability is the branch of mathematics that explains how often an event is likely to occur after many repeated trials. 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 a 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 Mathematics Probability is the most basic form of the phenomena. 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? 

Read About CBSE Class 12 Applied Maths Basic Financial with Mathematics

CBSE Class 12 Applied Maths Probability Syllabus 2021

As per the Class 12 Applied Mathematics Syllabus, there are various topics included in Probability listed below.

probability 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 Class 12 probability syllabus is an extension of it. It is an advanced level of study of everything you have already learned in Class 11.

You are advised to go through the syllabus and understand 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.

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

Read about: CBSE Class 12 Linear programming

CBSE Class 12 Applied Maths Probability Weightage in Examination

The probability topic holds 10 marks out of the total 80 marks in the question paper, which means it holds a 12.5% weightage of Class 12 CBSE Maths Board Paper. Thus it is highly advisable to check all the previous year's questions and sample papers available to you in order to excel at CBSE Class 12 Maths Exam.


No. of Periods

Total Marks




Read About CBSE Class 12 Applied Maths Inferential Statistics

Which type of Questions will be asked 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.

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 more in the minimum time possible.

A handbook on the day of examination is always handy than heavy textbooks.

Read About CBSE Class 12 Applied Maths Inferential Statistics

CBSE 12 Applied Math Probability Sample Questions

Follow the Sample Questions of CBSE Class 12 Maths Probability mentioned below. Questions will be based on sets, relations, Binomial Theorems, Normal and Poisson Distribution, Statistics, Variation, and other formulae-based questions.

  • How to get convergence in Monte Carlo simulation?
  • What is the difference between a distribution function and a probability distribution function?
  • How to calculate the sum and the subtraction of many random variables that follow exponential distributions and have different parameters?
  • Can the probabilities of two mutually exclusive events be quantitatively compared to two or more other mutually exclusive events?
  • How to calculate the Outage Probability of Simple Dual Hop Relay Systems?

Check Tips CBSE Class 12 Applied Maths Algebra

How to Prepare for CBSE Class 12 Applied Maths Probability?

There are various Differences between Applied Maths and Mathematics due to which extra effort is required for applied maths preparation. 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 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. Practicing 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. You must ensure to refer to the right books that cover each topic in depth. 

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.

Know About CBSE Class 12 Applied Maths Linear Programming


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.