CBSE Ch 13 Important Questions Class 12 Maths 2025 PDF

Probability is one of the most important chapters in the mathematics syllabus for students in Class 12 CBSE and includes important topics for the board exams. To prepare well, it is important to pay special attention to probability class 12 important questions. These fit the students' realisation towards high-weight topics like random variables, conditional probability, and Bayes’ theorem, among others. Resources such as CBSE Probability Important Questions Class 12 Maths PDF are made and designed to help students learn the subject and prepare them to perform well in exams. In this blog, we will discuss the importance of these questions and how to use them to get the best possible score for probability.

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Important Questions of Probability Class 12 

In Class 12 Maths, probability is considered one of the most important topics, not only because it is crucial for pursuing further studies but also because it is a common topic of discussion in examinations. Here are some important probability questions that should be given priority in examinations.

1. Mumbai has a public transport system consisting of local trains which connect numerous stations across Mumbai. Among them are Andheri and Dadar. Vani takes the local train scheduled at 8:55 AM from Andheri station to Dadar station every morning.

• The probability that the train is late is ¾
• The probability that Vani gets a seat on the train is 1/15 .

What is the probability that the train is on-time, and Vani gets a seat in it? Show your work.

2. A and B are events in the sample space S such that P(A) > 0 and P(B) > 0.

Check whether the following statement is true or false. If true, justify your conclusion; if false, state the right expression. If A and B are mutually exclusive, the probability of at least one of them occurring is: P(A). P(B).

3. Akshay is solving an exam paper with 50 multiple-choice questions, each for 1 mark. In

In the paper, each multiple-choice question has 4 options and exactly one correct answer. Akshay solves only 30 questions and randomly guesses the answers for the rest. If exactly 40% of the questions Akshay solved are solved correctly, then what is the probability that Akshay will score at least 30 marks on the exam? Show your work.

4. A company conducts a mandatory health checkup for all newly hired employees, to check for infections that could affect other office-going employees. A blood infection affects roughly 5% of the population. The probability of a false positive on the test for This infection is 4%, while the probability of a false negative on the test is 3%.

If a person tests positive for the infection, what is the probability that they are actually infected? Show your work.(Note: A false positive on a test refers to a case when a person is not infected, but tests positive for the infection. A false negative on a test refers to a case when the person is infected, but tests negative for the infection.)

5. A survey says that approximately 30% of all products ordered online across various e-commerce websites are returned. Two products that are ordered online are selected at random.

If X represents the number of products that are returned,i) find the probability distribution of X.ii) find the mean or expectation of X. Show your work.

Why are Important Questions in Probability Vital for Class 12 Students? 

Practising these important questions aids in reinforcing the key topics, providing understanding, and improving the skills of gaining the Probability Important Questions Class 12. Here are the reasons why these question types should be tackled for a better outcome:

Correct Concentration on Most Weighted Topics: Always attempt the problems regarding Bayes’ theorem, conditional probability, and probability distributions because questions on these topics are likely to come. 

Streamlined Revision for Exams: By concentrating on these questions, which carry the most marks, the time consumed to study is reduced. 

Understanding the principles: Knowing the scope of these kinds of questions allows an understanding of the type and difficulty of the questions that can be asked in the exams. 

Activity in Preparation for Competitive Exam: Questions are sharpened in probability, which is an important aspect of any competitive exam like JEE or CUET. 

Heightened Self-Respect: Regular practice increases the speed and accuracy with which exams need to be taken, so the self-respect examined goes up.

Comprehension of Probability and Frequently Asked Questions

Always remember that for success in probability, the topics with higher weightage should be given more importance. It is a smart strategy to prepare for those areas that are frequently covered in examinations. Here are critical areas of concentration:

Conditional Probability: Here questions pertain to estimating the likelihood of an event in the context of conditional probability on dice, cards, and surveys.

Bayes’ Theorem: Here the questions concentrate on the application of the theorem in everyday life situations. Medical Test and Reliability.

Independent Events: These questions are set in a manner that checks whether you can prove or calculate the independent events or not.

Probability Distributions: This refers to preparing distributions of discrete random variables and computing mean-variance, and standard deviation.

Miscellaneous Questions: These include case study-type questions or problems where students are required to use more than one concept, like Bayes’ theorem and independent events.

Most Important Questions and Their Impact On Students

The Class 12 important questions in probability encompass a great deal of advantages that go beyond mere exam aims. Below are a few of the advantages that come with using important questions:

Specific Preparation: Prioritises time allocation on areas with high importance.

Refines Theoretical Stance: A variety of questions cultivates skill and deep knowledge from theory.

Develops Examination Attitude: Solving common problems makes one proficient at handling problems and reduces examination stress.

Minimises Errors: A lot of practice is taken before the test; therefore, a student tends to be more accurate.

Improves Performance: Students can score higher marks in probability as well as mathematics as a whole by concentrating on topics that promise more marks.

How to Make the Best of Important Questions

To derive the most benefits from probability Class 12 important questions, a systematic approach must be undertaken. Follow these steps to get the best answers to important questions:

Check Syllabus Coverage: Confirm that the questions are based on the prescribed syllabus to eliminate the likelihood of studying unnecessary topics.

Work on Easy Questions First: Shift to more advanced questions after more simplistic ones have been mastered to achieve the desired level of confidence.

Refer to PDFs and other study material: Ensure access to well-organised sets of problems in the form of CBSE Class 12 Maths probability important questions. PDF.

Solve Under Time Constraints: Accuracy and speed can be enhanced by practising under timed conditions.

Error Assessment: An assessment of errors will highlight weak areas that need to be overcome. 

Group Study: Discussing a topic with peers will help settle queries and also provide fresh insights concerning problem-solving.

Techniques For Targeting High Marks in Probability for 12 Class

Scoring high marks in Probability is not all about solving problems. It requires a methodical approach to preparation. Here’s how you can effectively target this chapter:

Design A Study Schedule: Chunk your study into smaller segments such that each subject and set of questions has an allocated amount of time.

Make Use Of The Internet: Use available CBSE Class 12 maths probability important questions PDFs that enable you to use ready-made questions and their solutions.

Do Classification: Adequate concepts and formulae revision ensures prompt and correct recall during examinations.

Use Tests as Timers: Answer the sets of questions within specified times to put the same tension as the real examinations.

Concentrate on Stepwise Approaches: Write full solutions to questions to minimise loss of marks due to incomplete answers.

Ask, If You Are in Doubt: Do not fear asking teachers or classmates for clarifications concerning the difficult questions remaining.

The preparation of Class 12 Probability can be streamlined and made profitable by concentrating on the Important Questions Class 12 Maths. These questions enable you to identify the topics having high marks, get accustomed to the examination patterns, and enhance your skills. Backing valuable assets such as the CBSE probability Important Questions Class 12 Maths 2025 PDF CBSE Class 12 Maths important questions Probability PDFs and implementing preparation tips will help in relieving the examination pressure and performing better in the subject. Trust me, success in Probability is achieved through mastery of the concepts, diligent revision, and smart study methods. Commence with your preparations now, and make it a point not to miss the chance of scoring high on this chapter!