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Probability

Counting Methods: r-List (with replacement), Permutations (nPr), Combinations (nCr) Random Experiment, Sample Space Ω & Events Union (A ∪ B), Intersection (A ∩ B), Complement (Ā) Incompatible (Mutually Exclusive) Events Venn Diagrams — visual explanations Probability Formula: P(A) = Card(A) / Card(Ω) Key Rules: Complement, Addition, De Morgan's Law Conditional Probability: P(B/A) = P(A ∩ B) / P(A) Independent vs Dependent Events Tree Diagrams — how to build and read them Total Probability Formula Bayes' Theorem (reverse tree direction) Worked Examples: balls in a bag, school surveys, factory defect problems

1 PDFAdded 21 May 2026

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Probability

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∂ima ∫smail

With a Master’s in Pure Mathematics from the American University of Beirut, years of experience teaching students across Lebanon and the Gulf, and hundreds of one-on-one lessons, I’ve learned that confidence comes from understanding — not memorizing. My goal is simple: help every student truly understand math so better grades become a natural result.

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