Toothache
& Catch are not absolutely
independent, but
are
independent given either the presence or absence of a cavity
(each is caused by the cavity but otherwise, they are independent).
Which expresses the conditional independence given Cavity?

Question

Toothache
& Catch are not absolutely
independent, but
are
independent given either the presence or absence of a cavity
(each is caused by the cavity but otherwise, they are independent). 
 Which expresses the conditional independence given Cavity?

Accepted Answer

P(toothache ∧ catch | Cavity) = P(toothache | Cavity) P(catch | Cavity)

Answer

P(toothache ∧ catch | Cavity) = P(toothache ∧ catch | Cavity) P(catch | Cavity)

Answer

P(toothache ∧ catch | Cavity) = P(toothache ∧ Cavity| catch) P(catch ∧ Cavity | catch)

Answer

P(toothache ∧ catch | Cavity) = P(toothache | Cavity) ∧ P(catch | Cavity)

Crowdly

Toothache & Catch are not absolutely independent, but are independent given eit...

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