NPTEL : NOC26-MA41 | Week 1 Live Session | Probability | Algebra of Sets

Описание: 📌 Welcome to the Video – Your Guide to NPTEL Probability & Statistics!

Hello everyone! I am Chandan Kumar Gupta, a PMRF scholar in Mathematics at IIT Patna, and your NPTEL-PMRF Teaching Assistant for this course Probability and Statistics (noc26-ma41). My aim is to break down complex probability theory concepts into clear, step-by-step explanations with practical solved examples, so you can build a strong foundation and ace your exams.

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🎯 In This Video (Week 1): Clear Explanation with Solved Examples
We cover the core building blocks of probability theory as taught in the NPTEL course “Probability and Statistics” (noc26-ma41) by Prof. Somesh Kumar, IIT Kharagpur.

#### 🔹 Part 1: Algebra of Sets
Sets, classes, and collections
Ring and field (algebra of sets)
Semi-ring
Sigma-ring and sigma-field
Monotone class
Why it matters: Essential for understanding measure-theoretic probability.

#### 🔹 Part 2: Foundations of Probability
Random experiments
Definitions of probability:
Classical (mathematical) definition
Empirical (statistical) definition
Axiomatic definition

#### 🔹 Part 3: Practice Problems for Exam Readiness
Key properties of probability functions
Solved numerical problems for concept clarity and NPTEL exam preparation


📚 Free Study Resources & Notes
Statistics Hub:
👉 [https://sites.google.com/view/statist...](https://sites.google.com/view/statist...)
Download supplementary notes and learning materials for Probability & Statistics.


🎓 Who Should Watch This?
NPTEL Probability & Statistics course learners
Students preparing for IIT/JAM-level probability concepts
Anyone seeking a solid understanding of Probability and Statistics
Viewers aiming for clarity in algebra of sets, sigma-fields, and probability definitions


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📌 YouTube: [@nptel.statistics](   / @nptel.statistics  )
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