I don't get the multiplication theorem of conditional probability.

$\displaystyle p(A\cap B\cap C)=p(A) p(B\cap C|A)$

Why does it equal to

$\displaystyle p(A) p(B|A)p(C|A\cap B)$?

BTW, how do I get the dot for multiply in latex?

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- Sep 13th 2009, 06:57 PMchengbinConditional Probability
I don't get the multiplication theorem of conditional probability.

$\displaystyle p(A\cap B\cap C)=p(A) p(B\cap C|A)$

Why does it equal to

$\displaystyle p(A) p(B|A)p(C|A\cap B)$?

BTW, how do I get the dot for multiply in latex? - Sep 14th 2009, 03:16 AMPlato