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Unformatted text preview: valid for mutually exclusive or non-exclusive events) P(A or B) = P(A) + P(B) - P(A and B) A C B 5.3 Multiplication Rule For Independent Events If E 1 , E 2, E 3 , . . . E n independent events, the probability of their intersection is: P(E 1 and E 2 and E 3 , … and E n ) = P(E 1 ) * P(E 2 ) * . .. * P(E n ) Example1: Roll a die and select a card from a deck of 52 cards. Specifically, find the probability of rolling a 4 and selecting a club = P(4)*p(club) = 1/6 * 1/4 = 1/24 Example 2 5.4 General “Multiplication” Rule and Conditional Probability for the intersection of events Note: P(A|B) = the probability of A given that B has occurred The probability of A given B is: P(A|B) = P(AB)/P(B) The probability of B given A is: P(B|A) = P(AB)/P(A) Thus the probability of A and B is: P(AB) = P(A|B)P(B) = P(B|A)P(A) B A A C B...
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