Suppose {A1, A2, ..., A_k} partition Ω and B ⊆ Ω such that P(B) > 0. Show that if P(A_1|B) < P(A_1), then ∃ i ∈ {2, ...,
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Suppose {A1, A2, ..., A_k} partition Ω and B ⊆ Ω such that P(B) > 0. Show that if P(A_1|B) < P(A_1), then ∃ i ∈ {2, ...,
Suppose {A1, A2, ..., A_k} partition Ω and B ⊆ Ω such that P(B)> 0. Show that if P(A_1|B) < P(A_1), then ∃ i ∈ {2, ..., k}such that P(A_i|B) > P(A_i)