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Unformatted text preview: 1 • P k,n = n ( n1)( n2) ... ( nk + 2)( nk + 1) C k,n = ( n k ) = n ! k !( nk )! • P ( A  B ) = P ( A ∩ B ) P ( B ) with P ( B ) > P ( A ∩ B ) = P ( A  B ) · P ( B ) = P ( B  A ) · P ( A ) P ( A 1 ∩ A 2 ∩ A 3 ) = P ( A 3  A 1 ∩ A 2 ) · P ( A 2  A 1 ) · P ( A 1 ) • The law of total probability and Bayes’ theorem • Independence: P ( A  B ) = P ( A ) or P ( A ∩ B ) = P ( A ) · P ( B ) or generally P ( A i 1 ∩ A i 2 ∩ ··· ∩ A ik ) = P ( A i 1 ) · P ( A i 2 ) ...P ( A ik ) Exclusive: A ∩ B = ∅ Exhaustive: A ∪ B = S • Venn diagram and tree diagram 2...
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 Spring '08
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