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Article View: fj.sci.math
Article #14212

Re: probability question (EASY!)

#14212
From: Satoshi Kusakabe
Date: Tue, 23 Feb 1993 02:49
73 lines
3342 bytes
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>In article <SHINGO.93Feb19192748@ipc02.rtri.or.jp>
> shingo@ipc02.rtri.or.jp (Shingo MATSUMOTO) writes:
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-----

{ P(n) } $B$r!!#6$D$:$D$N%0%k!<%W$KJ,$1$^$9!#(J

 L(n) = { P(6*n+1),P(6*n+2),P(6*n+3),P(6*n+4),P(6*n+5),P(6*n+6)} 

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$B$3$3$G%0%k!<%W(J L(n) $B$N%l%s%8I}$r(J W(n) $B$H$7$^$9!#(J

   W(n) =  P(6*n+6)-P(6*n+1)

$B$5$F!"(JP(6*n+7) = 1/6 ( Sum[ P(6*n+k), {k, 1, 6}])
	       > 1/6 ( 5 P(6*n+1) + P(6*n+6) ) 
	
      P(6*n+12) < P(6*n+6)

$B$h$C$F!"(J
    W(n+1) = P(6*n+12)-P(6*n+7)
	   < P(6*n+6) - { 1/6( 5 P(6*n+1) + P(6*n+6))}
	   = 5/6 ( P(6*n+6) - P(6*n+1) }
	   = 5/6 W(n)

$B$7$?$,$C$F!"(J W(n) -> 0 ( n -> Infinity )

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************************  ******
$B!!F|2<It!!CR!!(JSatoshi Kusakabe @ Roland Electronics 
                ***********   ***  *************
    $B7r9/$N$?$a!"%K%s%K%/$N?)$Y2a$.$KCm0U$7$^$7$g$&!#(J
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Message-ID: <2754@rdnew4.roland.co.jp>
Path: arc1-ca.pugleaf.net!sparky!uunet!ccut!news.u-tokyo.ac.jp!wnoc-tyo-news!dclsic!hamamatsu-pc.ac.jp!rdnew6!rdnew11!rdnew4!recsun12!kusakabe
References: <TANUMA.93Feb19025303@mathc.math.titech.ac.jp> <SHINGO.93Feb19192748@ipc02.rtri.or.jp> <C54108.93Feb20165705@sakura.sakura.kudpc.kyoto-u.ac.jp>

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From: kusakabe@roland.co.jp (Satoshi Kusakabe)
Newsgroups: fj.sci.math
Subject: Re: probability question (EASY!)
Message-ID: <2754@rdnew4.roland.co.jp>
Date: 23 Feb 93 02:49:16 GMT
References: <TANUMA.93Feb19025303@mathc.math.titech.ac.jp> <SHINGO.93Feb19192748@ipc02.rtri.or.jp> <C54108.93Feb20165705@sakura.sakura.kudpc.kyoto-u.ac.jp>
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Reply-To: kusakabe@roland.co.jp (Satoshi Kusakabe)
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Organization: Roland Electronics Corporation, Matsumoto, Nagano, Japan
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