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Create bayes_theorem.md

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+ # Bayes’ Theorem
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+
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+ ## Formula
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+ P(A | B) = [P(B | A) × P(A)] / P(B)
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+
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+ ## Total Probability
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+ If A₁, A₂, …, Aₙ are exhaustive events:
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+ P(B) = Σ P(B | Aᵢ)P(Aᵢ)
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+
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+ ## When to Use
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+ - Conditional probability
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+ - Inverse probability problems
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+
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+ ## Common Mistakes
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+ - Forgetting total probability
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+ - Confusing P(A|B) with P(B|A)