4.7. For events A,..., A consider the 2 equations P(B,... B) = P(B) with B, A,...

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4.7. For events A₁,..., A consider the 2" equations P(B,... B₁) = P(B) with B, A, or B₁ = A for each i. Show that A₁,...,A,, are P(B₂ P(B₁) = independent if all these equations hold. 4.7. For events A₁,..., A consider the 2" equations P(B,... B₁) = P(B) with B, A, or B₁ = A for each i. Show that A₁,...,A,, are P(B₂ P(B₁) = independent if all these equations hold.

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To show that events A1An are independent if PB1 B2 Bn PB1PBn holds for all equations where Bi Ai or ... View the full answer