My probability class has me wondering about pure math questions now. We started with the axioms and are slowly building up the theory. Everything was fine but then a definition of Conditional Probability [tex] P[A|B] = \frac{P[AB]}{P(adsbygoogle = window.adsbygoogle || []).push({}); } [/tex] appeared and it's just not sitting right with me. I know that formula works because in simple problems I can usually see the answer. I'm just not seeing how it works or why a proof isn't needed..

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# Are proofs needed for definitions? Conditional Probability

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