Engineering Mathematics 09 | Conditional Probability & Baye's theorem | GATE - For All Branches

We begin by defining Conditional Probability (the probability of event A given event B has occurred) and clarifying the crucial difference between dependent and independent events. The core of this lecture is Bayes' Theorem, a powerful rule that allows you to calculate the probability of a cause given an effect (reversing the condition). You will learn the formal derivation, the role of Prior and Posterior Probabilities, and the indispensable Law of Total Probability. The session features essential GATE-level problem-solving strategies, including numerical examples for medical diagnosis and quality control, ensuring you are prepared to handle the intricate word problems frequently asked in the exam. 📕 𝐁𝐚𝐭𝐜𝐡/𝐂𝐨𝐮𝐫𝐬𝐞 𝐋𝐢𝐧𝐤𝐬:- GATE GURUKUL Course Link - https://www.geeksforgeeks.org/courses... All courses - https://www.geeksforgeeks.org/courses... GATE Agni Pariksha Batch Link - https://www.geeksforgeeks.org/payment... GATE 2026 CS & IT Test Series Link - https://www.geeksforgeeks.org/courses... GATE 2026 DA Test Series Link - https://www.geeksforgeeks.org/courses... Mission ISRO CSE - https://www.geeksforgeeks.org/courses... Mission ISRO ECE - https://www.geeksforgeeks.org/courses... GATE SPL. Combo Course - CSIT + DA 2026 (Combo course) - https://www.geeksforgeeks.org/courses... (With Placement Prep) - https://www.geeksforgeeks.org/courses... GATE CSE Weekday (2026) - https://www.geeksforgeeks.org/courses... (2027) - https://www.geeksforgeeks.org/courses... (2028) - https://www.geeksforgeeks.org/courses... GATE CSE Weekend (2026) - https://www.geeksforgeeks.org/courses... GATE CSIT With Placement Preparation Complete Course (2026) - https://www.geeksforgeeks.org/courses... GATE Rank Booster With Expert - Curated Questions - https://practice.geeksforgeeks.org/co... GATE CSIT With Placement Preparation Complete Course (2027) - https://www.geeksforgeeks.org/courses... (2028) - https://www.geeksforgeeks.org/courses... GATE SPL. Combo Course - CSIT + DA (2027) - https://www.geeksforgeeks.org/courses... (2027 + Placement Prep.) - https://www.geeksforgeeks.org/courses... (2028) - https://www.geeksforgeeks.org/courses... (2028 + Placement Prep.) - https://www.geeksforgeeks.org/courses... Gate CSE Semester & Placement Preparation (2027) - https://www.geeksforgeeks.org/courses... (2028) - https://www.geeksforgeeks.org/courses... For any query visit https://www.geeksforgeeks.org/courses... Or reach us at +91-08069289001 RECOMMENDED CHANNELS FOR YOU: GeeksforGeeks GATE EE/EC/IN -    / @gfg_ec_ee_in   GeeksForGeeks GATE English -    / @geeksforgeeksgateenglish   📚 Stay tuned for more Maha Marathon sessions on all GATE topics! 💬 Don't forget to comment your doubts and feedback! 👉 Subscribe to our channel for more GATE preparation content and hit the 🔔 to never miss an update! 👍 Like | 🔄 Share | 📢 Spread the word #ConditionalProbability #BayesTheorem #ProbabilityForGATE #GATEEngineeringMathematics #PosteriorProbability #TotalProbability #GATEAllBranches #MathsTricks #ProbabilityTheory #GATE2026 #EngineeringMathematicsGATEExam #GATEForEngineeringMathematics #EngineeringMathematicsBySakshiMam #GfG #GfGGATE