let f p be a probability space let a b d f be events such that pad pa and pbd pb show that if a

Name: let f p be a probability space let a b d f be events such that pad pa and pbd pb show that if a b then pa bd pa b note a represents the complement of event a
Uploaded: 2023-06-04T02:36:03-08:00
Duration: 1 min 22 s
Channel: Keondre Parker
Description: let f p be a probability space let a b d f be events such that pad pa and pbd pb show that if a b then pa bd pa b note a represents the complement of event a

Question

Keondre Parker · Accepted Answer

1. We are given that P(A|D) ≥ P(A) and P(B|D) ≥ P(B). This means that the probability of A occur

Question

Let (Ω, F, P) be a probability space. Let A, B, D ∈ F be events such that P(A|D) ≥ P(A) and P(B|D) ≥ P(B). Show that if A ∩ B = ∅, then P(Ā ∩ B̄|D) ≤ P(Ā ∩ B̄). Note: Ā represents the complement of event A.

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