Question: Two events A,B are conditionally independent given a third event C, written A B | C, if Pr[AB | C] = Pr[A | C]Pr[B

Two events A,B are conditionally independent given a third event C, written A ⊥ B | C, if Pr[A∩B | C] = Pr[A | C]·Pr[B | C]. Give an example of events A,B,C such that A ⊥ B and A 6⊥ B | C. Make sure to define your set Ω of outcomes, and justify

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