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Article #14204

Re: probability question (EASY!)

#14204
From: Hideki Takemura
Date: Mon, 22 Feb 1993 00:21
84 lines
3738 bytes
$@C]B<!w5~ETBg3X$G$9!#(J

In article <C54108.93Feb20165705@sakura.sakura.kudpc.kyoto-u.ac.jp> c54108@sakura.kudpc.kyoto-u.ac.jp (Masahiko Ohmura) writes:
 >$@$*$*$`$i!w5~Bg$H?=$7$^$9!#(J
 >
 >Subject $@$K(J EASY! $@$H$"$C$?$N$G!"$A$g$C$H9M$($F$_$?$N$G$9$,!"(J
 >$@0U(J$@30$HFq$7$/$F$O$^$C$F$7$^$$$^$7$?!#(J

$@;d$b$O$^$i$;$F$$$?$@$-$^$9!#(J

 >>  |	   $@#1!%(J $@#p!J#n!K$,:GBg$H$J$k(J$@#n$H!"$=$N:GBgCM$r5a$a$F$/$@$5$$!#(J
 >> 
 >> P($@#6(J)$@$,:GBg$G$O$J$$$G$7$g$&$+!#(J
 >
 >>  |	   $@#2!%(J $@#n"*!g(J $@$H$7$?$H$-$N#p!J#n!K$N6K8B$r5a$a$F$/$@$5$$!#(J
 >>  |
 >> 
 >> $@7W;;$N7k2L$K$h$l$P#2!?#7$G$7$g$&!#(J
 >
 >$@?tCM7W;;$N7k2L$K$h$l$P!"3N$+$K(JP(6)$@$,:GBg$G!"6K8BCM$O(J 2/7 $@$K$J$j$^$7$?!#(J
 >
 >> $@A22=<0$O(J
 >> 
 >> p(n) = p(n-1)*7/6+p(n-7)
 >
 >$@$s!)(J $@$3$N<0$G$O(J P(n) $@$,C1D4A}2C$K$J$j$^$9$M!#(J
 >P(n) = P(n-1)*7/6 - P(n-7)/6 $@$G$O!)(J
 >
 >$@$G7k6I!"?'!9$J?M$HF$5D$7$?7k2L!"(JP(6) $@$,:GBg$K$J$k$3$H$H!"(J
 >$@6K8BCM$,B8:_$9$k$H2>Dj$7$?>l(J$@9g$K$=$NCM$,(J 2/7 $@$K$J$k$3$H$O!"(J
 >$@>ZL@$G$-$?$N$G$9$,!"6K8BCM$,B8:_$9$k$3$H$,>ZL@$G$-$^$;$s(J
 >$@$G$7$?!#(J(;_;)
 >
 >$@$$$C$?$$$I$&$d$C$F>ZL@$9$k$N$G$7$g$&!)(J

n<0$@$N$H$-(Jp(n)=0$@!"$^$?!"(Jp(0)=1$@$H$9$k$H!"(Jn>=1$@$KBP$7$F(Jp(n)$@$O(J
$@A22=<0!J$N0l$D!K(J

    p(n)=p(n-1)/6 + p(n-2)/6 + p(n-3)/6
          + p(n-4)/6 + p(n-5)/6 + p(n-6)/6

$@$rK~$?$7$^$9!#(J
$@$3$N<0$+$i(Jp(n)$@$r:GBg$K$9$k(Jn$@$,(J6$@$H$J$k$3$H$O$[$H$s$I<+L@$G$9!#(J
$@$^$?!"<+A3?t(Jm$@$K$D(J$@$$$F(J

    p(6m-5) < p(6m-4) < p(6m-3) < p(6m-2) < p(6m-1) < p(6m)

$@$d(J

    p(6m-5) < p(6(m+1)-5)
    p(6m)   > p(6(m+1))

$@$,@.$jN)$A$^$9!#$3$l$+$i!"Fs$D$N?tNs(Jp(6m-5)$@$H(Jp(6m)$@$O$H$b$K<}B+$9$k(J
$@$3$H$,$o$+$j$^(J$@$9!#(J
$@$H$3$m$G!">e$NITEy<0$+$i(J

    p(6m-1) > p(6m-5)
    p(6m-2) > p(6m-5)
    p(6m+1) < p(6(m+1)) < p(6m)
    p(6m+2) < p(6(m+1)) < p(6m)

$@$J$I$,@.$jN)$A$^$9$+$i(J

    p(6(m+1)) - p(6(m+1)-5) < [ p(6m) - p(6m-5) ] *5/6

$@$H$J$j!"(Jp(6m-5)$@$H(Jp(6m)$@$OF1$8CM$K<}B+$7$^$9!#(J
$@$3$l$+$i7k6I!"(Jp(n)$@$,<}B+$9$k$3$H$,$o$+(J$@$j$^$9!#(J

$@$H$3$m$G(J
    p(n) = p(n-1)*7/6 - p(n-7)/6
$@$H$$$&A22=<0$O$I$3$+$i=P$F$/$k$N$G$7$g$&!)(J
$@;d$K$O(J$@!">e$N(J
    p(n)=p(n-1)/6 + p(n-2)/6 + p(n-3)/6
          + p(n-4)/6 + p(n-5)/6 + p(n-6)/6
$@$NJ}$,<+A3$J(J$@$N$G$9$,!D!D!#(J

--
                  =============================================
                    $@C]B<(J $@=(>k!J$?$1$`$i!&$R$G$-!K(J
                    $@5~ETBg3XBg3X1!EE;R9)3X@l96(J
                    $@H>(J$@F3BN9)3X9V:B!JED4]8&5f<<!K=$;N0l2s@8(J
                    e-mail:takemura@tamaru.kuee.kyoto-u.ac.jp
                  =============================================
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Message-ID: <TAKEMURA.93Feb22092140@aji.tamaru.kuee.kyoto-u.ac.jp>
Path: arc1-ca.pugleaf.net!sparky!uunet!ccut!news.u-tokyo.ac.jp!s.u-tokyo!kuis!kuee!takemura
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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X-Google-Language: Japanese,JIS
X-Google-Thread: f4956,fc23536e46178b6f
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X-Google-ArrivalTime: 1993-02-21 16:21:40 PST
Newsgroups: fj.sci.math
Path: arc1-ca.pugleaf.net!sparky!uunet!ccut!news.u-tokyo.ac.jp!s.u-tokyo!kuis!kuee!takemura
From: takemura@tamaru.kuee.kyoto-u.ac.jp (Hideki Takemura)
Subject: Re: probability question (EASY!)
In-Reply-To: c54108@sakura.kudpc.kyoto-u.ac.jp's message of Sat, 20 Feb 1993 07:57:05 GMT
Message-ID: <TAKEMURA.93Feb22092140@aji.tamaru.kuee.kyoto-u.ac.jp>
Sender: news@kuee.kuee.kyoto-u.ac.jp (KUEE News Administrator)
Nntp-Posting-Host: aji
Organization: Dept. of Electr. Eng., Kyoto Univ., Japan
References: <TANUMA.93Feb19025303@mathc.math.titech.ac.jp>
 <SHINGO.93Feb19192748@ipc02.rtri.or.jp>
 <C54108.93Feb20165705@sakura.sakura.kudpc.kyoto-u.ac.jp>
Distribution: fj
Date: Mon, 22 Feb 1993 00:21:40 GMT
Lines: 84