Probability Basics for GATE | Events, Venn Diagrams & Conditional Probability

Build your probability fundamentals with this English-language lesson covering events, set operations, essential probability rules, and worked examples useful for GATE preparation. Topics covered: • Random Experiments, Sample Space and Events • Complement, Union and Venn Diagrams • Mutually Exclusive and Exhaustive Events • Addition Theorem • Independent and Dependent Events • Conditional Probability • Calendar and Card Examples • Probability vs Odds ⚠️ DISCLAIMER: This AI-assisted educational video is intended for conceptual learning and revision. AI-generated narration, captions and explanations may contain errors or oversimplifications. Verify formulas, assumptions and solutions using standard textbooks and official examination resources. This lesson does not represent complete GATE syllabus coverage or guarantee examination results. IMPORTANT CLARIFICATIONS: • Probability satisfies 0 ≤ P(E) ≤ 1; both endpoints are included. • The classical formula P(E) = favourable outcomes / total outcomes assumes a finite sample space with equally likely outcomes. • Exhaustive events have a union with probability 1. Their individual probabilities sum to 1 when they are also mutually exclusive. • P(B|A) = P(A∩B)/P(A) requires P(A) to be greater than zero. • The calendar examples use the textbook assumption that the seven starting weekdays are equally likely. Subscribe for more concept-based mathematics lessons. #Probability #GATE #EngineeringMathematics