PPT Slide

TYPICAL DERIVATION IN CAUSAL CALCULUS

Smoking

Tar

Cancer

P (c | do{s}) = ?t P (c | do{s}, t) P (t | do{s})

= ?s???t P (c | do{t}, s?) P (s? | do{t}) P(t |s)

= ?t P (c | do{s}, do{t}) P (t | do{s})

= ?t P (c | do{s}, do{t}) P (t | s)

= ?t P (c | do{t}) P (t | s)

= ?s? ?t P (c | t, s?) P (s?) P(t |s)

= ?s???t P (c | t, s?) P (s? | do{t}) P(t |s)

Probability Axioms

Probability Axioms

Rule 2

Rule 2

Rule 3

Rule 3

Rule 2

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