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Unformatted text preview: 1 â€¢ P k,n = n ( n1)( n2) ... ( nk + 2)( nk + 1) C k,n = ( n k ) = n ! k !( nk )! â€¢ P ( A  B ) = P ( A âˆ© B ) P ( B ) with P ( B ) > P ( A âˆ© B ) = P ( A  B ) Â· P ( B ) = P ( B  A ) Â· P ( A ) P ( A 1 âˆ© A 2 âˆ© A 3 ) = P ( A 3  A 1 âˆ© A 2 ) Â· P ( A 2  A 1 ) Â· P ( A 1 ) â€¢ The law of total probability and Bayesâ€™ theorem â€¢ Independence: P ( A  B ) = P ( A ) or P ( A âˆ© B ) = P ( A ) Â· P ( B ) or generally P ( A i 1 âˆ© A i 2 âˆ© Â·Â·Â· âˆ© A ik ) = P ( A i 1 ) Â· P ( A i 2 ) ...P ( A ik ) Exclusive: A âˆ© B = âˆ… Exhaustive: A âˆª B = S â€¢ Venn diagram and tree diagram 2...
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 Spring '08
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