Homework 5 - How much is PC El Don't complete t he...

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September 16, 2010 Math 351 - Homework 5 Due in class on Tuesday. L Say we have 20 cards: 5 are blue (color 1) and numbered 1 to 5, 5 are green (color 2) and llumbered 1 to 5, 5 are red (color 3) and numbered 1 to 5, 5 are yellow (color 4) and numbered 1 to 5. Select 7 cards. Let E. = "get cards 1 and 2 of color i, i 1,2,3,4. (i (a) Fo, any i, how mueh i, peE,)? Don't complete the c;;;;,,, . ~ (b) For any i,j, how much is peEtE:;)? Don't complete the calculation. 6') 1(£'4): . C-7V (c) Fo' any i.j,k, how much is P(E,EjE,)? Don~;;;.t;,:)u:tion. (;1 (d)
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Unformatted text preview: How much is PC El Don't complete t he calculation. (~j o ('-'Ve-CrM tt 0evq 8 c~ .r"'-~ce ~ O-l/f .re/"~ '/) Fi = "horse i finishes in place i", for each i 1. 2, 3, 4, 5. (a) For any i, find P(E;). -/ ;;(~J:: .r (b) For any i,j, find P(EiE j ). jJ['~;)= (c) For any i,j, k, find P(EiEjEk). l'!e4E~"; (d) For any i,j, k, m, find P(E;EjE",E m ). I(E;6)4~~:-I--60 (e) Fiud P(E1EzE3E4E5). . ;>/i=; /if"-r/-,~t tJ ~ (f) Use the inclusion-exclusioll prillciple to find the probability that there is at least one i such that horse i finishes in placei....
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This note was uploaded on 03/05/2011 for the course MATH 351 taught by Professor Moumen,f during the Spring '08 term at George Mason.

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