NPTEL : NOC26-MA41 | Week 1 Live Session | Probability | Algebra of Sets скачать в хорошем качестве

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

📌 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. --- 🎯 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 🔗 Connect & Stay Updated 📌 LinkedIn: [linkedin.com/in/chandangupta-iitp](  / chandangupta-iitp  ) 📌 YouTube: [@nptel.statistics](   / @nptel.statistics  ) Subscribe for weekly lectures, solved problems, and exam tips! 👍 Support the Channel If this video helped you: Like the video 👍 Comment your doubts or suggestions 💬 Subscribe and hit the bell 🔔 for upcoming lectures #ProbabilityAndStatistics #NPTELProbability #AlgebraOfSets #SigmaField #ProbabilityTheory #PMRF #IITPatna #IITKharagpur #Statistics #NPTEL #NPTELExamPrep #MeasureTheory #ProbabilityLectures #MathTutorial