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AlgebraΒ ofΒ ConditionalΒ Probability
Bayes Rule: 𝑝 π‘₯ 𝑦 = 𝑝(𝑦|π‘₯)𝑝(π‘₯) 𝑝(𝑦) 
Total Probability: 𝑝 𝑦 = π‘₯  𝑝 𝑦 π‘₯ 𝑝(π‘₯) 
Multiple conditions: 𝑝 π‘₯ 𝑦,𝑧 = 𝑝(π‘₯,𝑦|𝑧) 𝑝(𝑦|𝑧) 
Factorization: 𝑝 π‘₯,𝑦,𝑧 =𝑝 π‘₯ 𝑦,𝑧 𝑝 𝑦 𝑧 𝑝(𝑧)
𝑝(βˆ™|𝑧) is a true probability function
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