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Unformatted text preview: conditional probability P ( A | B ) = P ( A B ) /P ( B ). basic multiplication rule P ( A B ) = P ( A ) P ( B | A ). extended multiplication rule P ( A 1 A 2 . . . A m ) = P ( A 1 ) P ( A 2 | A 1 ) P ( A m | A 1 . . . A m-1 ). A and B are independent if P ( A B ) = P ( A ) P ( B ). If an experiment consists of a sequence of independent trials, and A 1 , . . ., A m are events such that A j depends only on the j th trial, then A 1 , . . ., A m are independent, and P ( A 1 A 2 . . . A m ) = P ( A 1 ) P ( A 2 ) P ( A m ) ....
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This note was uploaded on 08/01/2008 for the course STAT 333 taught by Professor Chisholm during the Spring '08 term at Waterloo.
- Spring '08