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LetE1, E2, E3be pairwise disjoint events whose union is the entire sample space. Prove that for any eventA, P(A) =P(A|E1)P(E1) +P(A|E2)P(E2) +P(A|E3)P(E3).

  1. LetE1, E2, E3be pairwise disjoint events whose union is the entire sample space. Prove that for any eventA, P(A) =P(A|E1)P(E1) +P(A|E2)P(E2) +P(A|E3)P(E3).

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