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Unformatted text preview: given that event B has already occurred is written as P( A  B ). P(A I B ) P( A  B ) = P( B ) EX. Roll a die What is the probability of getting an odd number given that the number rolled is at most 4? Let A be an odd number and let B be a number at most four. A = { B = { A I B = { P(B) = n(B)/n(S) = P(A I B) = n(A I B)/n(S) = P(AB) = P(A I B) / P(B) = Independent Events Two events are said to be independent of one another if the occurrence or nonoccurrence of one event has no effect on the occurrence or nonoccurrence of the other event. Two events A and B are said to be independent iff P(A I B ) = P(A) P(B) Ex. Let A be the event of an even number Let B be the event of a number at least 4 Are A and B independent? P(A) = P(B) = P(A I B ) = Multiplication Rule P(A I B ) = P(AB) P(B)...
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This note was uploaded on 02/15/2009 for the course STAT 2004 taught by Professor Melutz during the Fall '07 term at Virginia Tech.
 Fall '07
 MELutz
 Statistics, Probability

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