Explain in one or two sentences why the quantity equals when forms a partition of the…

MATHEMATICS · Subjective · A Level · Mathematics · Probability · Probability

Problem

Explain in one or two sentences why the quantity ∑i=1nP(Ei) P(A∣Ei)\sum_{i=1}^{n} P(E_i)\,P(A\mid E_i) equals P(A)P(A) when {E1,…,En}\{E_1,\dots,E_n\} forms a partition of the sample space.

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