Example_class_2_slides

3 4 n n 1j j j 0 example class 2 2we want to nd i1

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Unformatted text preview: − P Ei . As i =1 P (Ei ) P (Ei ∩ Ej ) (n − 1)! n! (n − 2)! n! = = . . . P (E1 ∩ E2 ∩ ... ∩ En ) 1 , n! = by the inclusion-exclusion principle, n P (E1 ∪ E2 ∪ ... ∪ En ) = ∑ P (Ei ) − ∑ i =1 P (E i 1 ∩ E i 2 ) + · · · i1 <i2 +(−1)n−1 ∑ P (Ei1 ∩ Ei2 ∩ · · · ∩ Ein ) i1 <i2 <···<in n = ∑ (−1)j −1 j =1 Chan Chi Ho, Chan Tsz Hin & Shi Yun ∑ P (Ei1 ∩ Ei2 ∩ · · · ∩ Eij ), i1 <i2 <···<ij Example class 2 and as the number of terms in ∑ i1 <...
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This note was uploaded on 01/16/2012 for the course STAT 1301 taught by Professor Smslee during the Fall '08 term at HKU.

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