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📘 Markov Chain – Car Trading Problem | Find Transition Probabilities | VTU / BSc / BTech / BE In this video, we solve a Markov Chain problem based on a man’s car trading habits. We determine the probability that he owns a Maruti, Ambassador, or Santro car in specific years (2002 and 2003) using transition probability matrices and state vectors. This topic belongs to *Module-2 (Joint Probability Distribution & Markov Chain)* as per the **VTU 2023–24 syllabus for CS & Engineering**. It’s also useful for *BSc, BTech, and BE students* from any university studying Markov Chains under **Probability & Statistics**. 🎯 *Question* Every year, a man trades his car for a new car. If he has a Maruti, he trades it for an Ambassador. If he has an Ambassador, he trades it for a Santro. If he has a Santro, he is equally likely to trade it for a new Santro, Maruti, or Ambassador. In 2000, he bought his first car which was a Santro. Find the probability that he has: i. 2002 Santro ii. 2002 Maruti iii. 2003 Ambassador iv. 2003 Santro 🧮 *Concepts Covered:* Transition Probability Matrix State Vector Representation Multi-step Transition Probabilities (P², P³) Regular Markov Chain Prediction after ‘n’ steps 🎯 Playlist: Joint Probability & Markov Chain | BCS301 – Module 2 | Mathematics-III | VTU 2023-24 | CS & Engineering 🔗 • Joint Probability & Markov Chain | BCS301 ... 📺 Video Order for Continuous Learning: 1️⃣ Joint Probability Distribution - Pt.1 | Discrete Random Variables | Engineering Mathematics • Joint Probability Distribution - Pt.1 | Di... 2️⃣ Joint Probability Distribution - Pt.2 | Discrete Random Variables | Engineering Mathematics • Joint Probability Distribution - Pt.2 | Di... 3️⃣ Joint Probability Distribution - Pt.3 | Discrete Random Variables | Engineering Mathematics • Joint Probability Distribution - Pt.3 | Di... 4️⃣ Joint Probability Distribution - Pt.4 | Discrete Random Variables | Engineering Mathematics • Joint Probability Distribution - Pt.4 | Di... 5️⃣ Joint Probability Distribution - Pt.5 | Discrete Random Variables | Engineering Mathematics • Joint Probability Distribution - Pt.5 | Di... 6️⃣ Joint Probability Distribution - Pt.6 | Discrete Random Variables | Engineering Mathematics • Joint Probability Distribution - Pt.6 | Di... 7️⃣ Joint Probability Distribution - Pt.7 | Discrete Random Variables | Engineering Mathematics • Joint Probability Distribution - Pt.7 | Di... 8️⃣ Unique Fixed Probability Vector for Regular Stochastic Matrix: Example 1 • Unique Fixed Probability Vector for Regula... 9️⃣ Unique Fixed Probability Vector for Regular Stochastic Matrix: Example 2 • Unique Fixed Probability Vector for Regula... 🔟 Unique Fixed Probability Vector for Regular Stochastic Matrix: Example 3 • Unique Fixed Probability Vector for Regula... 1️⃣1️⃣ Unique Fixed Probability Vector for Regular Stochastic Matrix: Example 4 • Unique Fixed Probability Vector for Regula... 1️⃣2️⃣ Unique Fixed Probability Vector for Regular Stochastic Matrix: Example 5 • Unique Fixed Probability Vector for Regula... 1️⃣3️⃣ Unique Fixed Probability Vector for Regular Stochastic Matrix: Example 6 • Unique Fixed Probability Vector for Regula... 1️⃣4️⃣ Unique Fixed Probability Vector for Regular Stochastic Matrix: Example 7 • Unique Fixed Probability Vector for Regula... 1️⃣5️⃣ Markov Chain 01: Transition Probability Matrix with Examples | Engineering Mathematics 1️⃣6️⃣ Markov Chain Problem on Student Study Habits | Find Long Run Probability • Markov Chain Problem on Student Study Habi... 1️⃣7️⃣ Markov Chain Problem on Smoking Habits | Find Long Run Probability • Markov Chain Problem on Smoking Habits | F... 1️⃣8️⃣ Markov Chain Problem on Ball Throwing | Find Probabilities After 3 Throws • Markov Chain Problem on Ball Throwing | Fi... 1️⃣9️⃣ Markov Chain Problem on Car Trading | Multi-Step Transition Probability • Markov Chain Problem on Car Trading | Mult... 2️⃣0️⃣ Markov Chain Problem on Salesman’s City Visits | Find Long Run Probabilities • Markov Chain Problem on Salesman’s City Vi... 2️⃣1️⃣ Markov Chain Problem on Three Boys Throwing a Ball | Find Probability After 3 Throws • Markov Chain Problem on Three Boys Throwin... #MarkovChain #VTUMaths #ProbabilityAndStatistics #LongRunProbability #TransitionMatrix #VTUExamPreparation #MathsForCS #BCS301 #BTech #BE #BSc #EngineeringMaths #RegularStochasticMatrix #StationaryDistribution #CarTradingProblem #VTU2023 #MarkovChainExample