NCERT Solutions Class 12 Maths Chapter 13 Probability

Chapter 13 Probability from Class 12 Maths is about helping students to understand how to measure uncertainty and predict outcomes using mathematical reasoning. Using the earlier fundamentals on probability, this chapter introduces advanced ideas including conditional probability, multiplication theorem, independent events, and Bayes’ theorem. These topics are important for board exams and are also useful in certain real-life decision-making situations.

The NCERT Solutions are explained clearly in a step by step manner using simple language to ensure that the students thoroughly uderstand the concepts and the methodology of solving problems. They are prepared strictly in accordance to the latest NCERT textbook and is fully aligned with the syllabus prescribed by CBSE. 

1.0Download NCERT Solutions Class 12 Maths Chapter 13 Probability : Free PDF

Probability is a scoring chapter that requires clear understanding and regular practice. With NCERT Solutions for Class 12 Maths Chapter 13 Probability, students can practise all textbook questions with proper explanations. Download the free PDF now to revise concepts and prepare confidently for board exams.

2.0Key Concepts of Class 12 Maths Chapter 13 Probability

This chapter focuses on analysing events and calculating their chances accurately. The key lessons included are:

• Conditional Probability: Understanding how the probability of an event changes when another related event has already occurred.
• Multiplication Theorem of Probability: Learning how to find the probability of two or more events occurring together.
• Independent Events: Studying events where the occurrence of one does not affect the probability of the other.
• Bayes’ Theorem: Applying Bayes’ theorem to calculate revised probabilities based on given conditions.
• Total Probability Theorem: Understanding how to find overall probability using mutually exclusive events.
• Real-Life Applications: Solving word problems that apply probability concepts to practical situations.

3.0Key Features and Benefits of Class 12 Maths Chapter 13 Probability

• Regular practice of the solutions help in improving logical thinking and accuracy in solving probability-based problems.
• Probability is an important topic for competitive exams like the olympiads. Having strong basics can support preparation for these examinations.
• The solutions explain probability concepts clearly and also help students understand the reasoning behind each formula and result.
• Provision of step-by-step answers make conditional probability and Bayes’ theorem easier to apply in exams.
• The exercises strictly follow the NCERT syllabus and cover frequently asked CBSE board exam questions.