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M4% h H8@M 3O4"& Q  Sum'4523  43" 44% o@M*<3O){&Q 024 Tosses of Two Dice '4%  p3O&Q'44 ee?@@@ @@@ ? e NN      A@C:\Documents and Settings\harris_d\My Documents\backup\easyPlanet\beta\images\blurplanet1.JPGText 2 t$I] @   <Press the F9 button to roll the two dice 48 times or hold the F9 button on your keyboard to generate many trials. Each two adjacent blue areas represent twenty-four tosses of the die: one trial of Chevalier de Mere's second game. < 1+,xt  @0   @Text 14X =]0 $ /<0Simulation of Chevalier de Mere's second Game<Y/rj  0M? b ]t  '@"t??3t '3 d23 M  4 3Q:  winsQ:QQ3_4E4 3Q: trialsQ:QQ3_ O  `  MM< 4E4D$% M 3O&Q4$% M 3O&Q4FAs 3O{- 3 bo#M43*4@#M&! M4523  43" t s3O~ r% M3O&Q423 M 4444% Mp3O&Q'4%  5Mp3O&Q'4% Mp3O&Q'44ee"@,@e xp  6 M? Sb]D  '@"D??3u3 d( 23 M  4 3Q ratioQ:QQ3_ O   MM< 4E4D$% M 3O&!Q4$% M 3O&!Q4FArX c 3O 3 bo#M43*???#M& ! M4523  43" ,e 3O2^ B% M3O&Q423 M 4444% M <3OQ'4% Mp3O&Q'44ee%I$I?e ZRB  C  o ]Ԭxx  6HMXPP? @]4@HMl *Ռ'OYOX <Tech Help: the tallying of scores requires the use of a circular formula which is not allowed in the normal calculation mode. So we need to do the following; Tools-Options-Calculation-Automatic Iteration - Maximum Iterations 1 - OK<#xx   6MCC@b], @Mܭ\qM9 $<RESET<'5ld ! c An`C:\My Documents\Hdnov29\Planet\images\planetcircle.JPGyK yK 4http://www.planetqhe.com/"0*visit planetqhe.com!p=~z]&!`txx " 6MCC@],"@M xq$M9 $ < Collect 20<* xx # 6[ CC@b],#@[  _Z 9 $<F9< -!A satisfied Microsoft Office user>@ % %% 7 Sheet1 '@ '  MbP?_*+%M\\JUPITER\maths1_34_hp-2300C odXXLetter DINU"4$IUPHdLetter [none] [none]Arial4P d?HARRIS_D<Automatic>0    j i k k m m " dXX??U  (   l  s *%   @K ]`%   < The Chevalier de Mere used to bet that he could get at least one double six in every twenty-four throws of a pair of dice. Do you think that: (a) He was likely to win this bet? (b) He was unlikely to win this bet? (c) He was just as likely to win as lose? < >@7 Sheet2 '@   MbP?_*+%;M\\JUPITER\maths1_34_hp-2300C odLetter_ DINU"4$IUPHdLetter [none] [none]Arial4P d?HARRIS_D<Automatic>0    j i k k m m "d??U} 6} m 6}  6} )6} $ 6} 8} I 6}  6} $ 6} 6}  6  @ ; @ ; w  h h h h h h ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ; ;7777 9999$OD  winkD  winLD  win-D  winlose"""Blose':@9B':@9B':@9B':@9B  O  O9 O L  winkL  winLL  win-L  winlose"""Blose':@9B':@9B':@9B':?9B~  O? O9O win':@9B':@9B':@9B':?9B~  O@ O [ \9O win':?9B':@9B':@9B':@9B~  O@ O~ ]?i^5@S%@1AZ%@1AZ%@1AZ%@1AZ9PO lose';@9B';@9B';@9B';@9B~  O@ O~ ]@i^@S%@2AZ%@2AZ%@2AZ%@2AZ9hO lose';?9B';@9B';?9B';@9B~  O@ O~ ]@i^4@S%@3AZ%@3AZ%@3AZ%@3AZ9 O win';@9B';@9B';@9B';@9B~  O@ O~ ]@i^,@S%@4AZ%@4AZ%@4AZ%@4AZ9O win';@9B';@9B';@9B';@9B~  O@ O~ ]@i ^ @S%@5AZ%@@5AZ%@5AZ%@5AZ 9tO lose' :? 9B' :@ 9B' :? 9B' :? 9B~ O @ O~ _@i `$@ S%@6AZ%@6AZ%@6AZ%@6AZ 9DO lose' :? 9B' :@ 9B' :@ 9B' :? 9B~ O"@ O 9O win' :@ 9B' :@ 9B' :@ 9B' :@ 9B~ O$@ O 9O win' :? 9B' :@ 9B' :@ 9B' :@ 9B~ O&@ O 9XO lose' ;? 9B' ;? 9B' ;? 9B' ;@ 9B~ O(@ O9O win';@9B';@9B';@9B';?9B~  O*@  O< 9 O lose';@9B';@9B';?9B';?9B~  O,@  O< 9 O lose';@9B';@9B';@9B';?9B~  O.@  O< 9 OD  winkD  winLD  win-D  winlose"""Blose':@9B':@9B':@9B':?9B~  O0@  O< 9 OD  winkD  winLD  win-D  winlose"""Bwin':?9B':@9B':@9B':@9B~  O1@  O> ??9X OD  winkD  winLD  win-D  winlose"""Blose':@9B':@9B':@9B':@9B @~  O2@  O= 9OD  winkD  winLD  win-D  winlose"""Bwin':?9B':@9B':@9B':@9B~  O3@ O(F"@%winAZ 9 G~  P4@ PH HHH?  D  Q# RQ % B 888  S# Tf$fff % B a bbc  U# V* e BJ a bbc a ccc a bbc d bbc >0"p iihhiipok`zES0 (  j  0,M?) %]#  '@"#??3ؿ ?3d23 M , 4 3QQ ; Q ; Q3_ O   d 4E4D$% M 3O&Q4$% M 3O&Q4FA 3O 3 bo#M&43*>@#M&! M4523  43" 44%  @M*<3O&.Q (80 Tosses of a Die'4%   z3Op&Q'4%    z3Op &Q'4% X  z3Op&Q'4% E z3Oz&Q'4% ;  z3Ou &Q'4% d z3Op&Q'4%  p3O&Q'44ee5@@4@,@ @$@e NN  J   A@C:\Documents and Settings\harris_d\My Documents\backup\easyPlanet\beta\images\blurplanet1.JPGText 2 ]@J d# <Press F9 button to roll the die 80 times or hold the F9 button on your keyboard to generate many trials.. Each row represents four tosses of the die ie. one trial of Chevalier de Mere's first game.<) S yt  @XJ   @Text 16_]XJ   -<.Simulation of Chevalier de Mere's first Game<*-rj   0,,?D  %] p  '@"p??3?3d23 , , 4 3QQ:QQ3_4E4D$% M 3O&Q4$% M 3O&Q4FA  3O82 3 bo#M! M43*4@@@#M&! M4523  43" 44% !f @M*<3Oy&Q v9Wins from twenty trials of Chevalier de Mere's first game'44ee"@e TLB   3  ==] ld   c An`C:\My Documents\Hdnov29\Planet\images\planetcircle.JPGyK yK 4http://www.planetqhe.com/"0*visit planetqhe.com!Uzz]& `Pxx   6M CC@% z], @M DM 9 $< throw 20<0,xx   6$I CC@% U], @$I 4̳H 9 $< F9< er >@'''7 Sheet3 '@"??>  '@"??>  '@"??>  '@"??>  Module1Module2P__SRP_21__SRP_35  !"#$%&'()*+,-./0234679:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ\]_abcdefghijklmnopqrstuvwxyz{|}WxME(<<< <hx`@ x(x ed 6/20/2002 by AMILO %8+E "Attribute VB_Name = "Module1" xME(6 << <X $p`(@  14!Macro recorded 6/20/2002 by AMILO (`H   14pAMILO p" %!Macro recorded 6/20/2002 by AMILOelexp+E $*\Rffff*0;3fd879eb"   (0 X ` hx"   (   (@`x Button20_Click Macrouff\" Macro recorded 6/20/2002 by AMILO B@&op Button21_Click Macro" Macro recorded 6/20/2002 by AMILOB21,E21$B@HE21$B@* B@B21$B@H =RC+R[-5]C[7] ( E21$B@H=RC+1 ( A1$B@HoPHTAttribute VB_Name = "Module2" Sub Button20_Clic`k()  l.Descriptionacro recorded 6/2002 by AMILOdNPro cDataZInvoke_FuncZ \n14>' ' MvO  ASelec].Dte End 1 E',6Range("B21,E 21").F IA@LvaKPClearContents  eCell.FormulaR1C1y=RC+R[-5]C[7]{%1AI5yrU~| 0  0 p  frU $`a$`anModule38__SRP_4 [__SRP_5^oModule4 `kd&xMEP6 <<<< <<<P .`@PJ 14x2002y  ,%!Macro recorded 6/20/2002 by AMILO\nHpl OWS\@\ 03pl@X @T @P H+E $*\Rffff*0<3fd879eb"   (0 X `(h( !(!(!(?((H`p Button23_Click Macro" Macro recorded 6/20/2002 by AMILOB21,E21$B@HE21$B@* B@B21$B@H =RC+R[-5]C[7] ( E21$B@H=RC+2 ( E22$B@HForms 0%2(4A1$B@HojAttribute VB_Name = "Module3" Sub Button23_Clic`k()  l.Descriptionacro recorded 6/2002 by AMILOdNPro cDataZInvoke_FuncZ \n14>' ' MvO  Range("B21,E21").Select  Actipvate y.ClearContents* (!eCell.FormulaR1C1m=RC+R[-5]C[7]q?K#2 2BppvaAl.CommandBar(s("$s VisiblAFalsD?@ACEFGHIJKLMNOPQRSTUVXYZ\^_`abcdefghijklnopqrstuvwxyz{|~03 by AMILOA@<A@<A@<A@<A@<A@<A@<A@<A@<A@<A@<A@<A@<A@<A@<A@<A@<A@<A1$B@HD%'chevalier de mere 1.xls'!newnewreset 0B@:`Attribute VB_Name = "Module6" Sub newreset(), `.~Descriptionacro recorded 3/30/2003 by AMI LOProcDataWInvoke_FuncAW \n14;' ' Mp_y$A Range("A21:F21").Select i.ClearContents33:F3b3opy 3ActiveSheet.Paste >F<.ColorIndex0 ) \End colg20cdm2 pN%q qApplica.Run "'chevalier de mere 1.xls'!yCalcula]%!!ZrJrU~| ))) I i  h0(X'\%:l%$ XX!X $ XX(X'\%:l%$ XX!X $ XX(X'\%:l%$ XXX$ @XX-(l%X $ XWH C X5H(X'\%:l %$ XX40$ XHHx'%'%'%'%'%'%'%'%'%'%'(%'8%'H%'X%'h%'x%'%'%'%'%'%'%'%'%'%'%'(%'8%'H%'X%:h%x$ x x5x $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T(x'X%:h %$ xx$ xxfrU $`$`n_ xME(6 L8\0% ^`xXk %Macro recorded 28/03/2005 by harris_dVv2 14hP<@l @\ @X H88+E $*\Rffff*0843adba2b*\R1*#229*\R1*#c4*\R1*#175 "   ,0 ` h(p(8op efnine Macro& Macro recorded 28/03/2005 by harris_dH31$B@HxA@<A2$B@H PAttribute VB_Name = "Module7" Sub efnin`e() L.Descriptiontacro recorded 28/03/2005 by harris_dProcDataVInvoke_FuncV \n146' ' MjSs(  Range("H31").Select  CalculateA2End rU~|   )) h(X'\%:l%$ XX $ T(X'\%:l%__SRP_b=__SRP_aBoSheet1D__SRP_cW$ XX$h$ XkrU $ `inDr#<u4Kct F X0@UŲ%Rx X0@UŲ%Ru4KctME(SLSS6"N0{00020820-0000-0000-C000-000000000046}(%H@h %` %Xp@@0+E $*\Rffff*0;45d0d5c84xAttribute VB_Name = "She@et1" Bast0{00020820- C$0046} |Global!SpacFalse dCreatablPre declaIdTru BExposeTemplateDeriv$Bustom izD2rU   ) 4Q y `rU @n'_#x__SRP_d[BSheet2]Sheet3mModule8 }ME (SLSS<N0{00020820-0000-0000-C000-000000000046}@(%H@0+E xAttribute VB_Name = "She@et2" Bast0{00020820- C$0046} |Global!SpacFalse dCreatablPre declaIdTru BExposeTemplateDeriv$Bustom izD2'f#xME (SLSS<N0{00020820-0000-0000-C000-000000000046}@(%H@0+E xAttribute VB_Name = "She@et3" Bast0{00020820- C$0046} |Global!SpacFalse dCreatablPre declaIdTru BExposeTemplateDeriv$Bustom izD22)?xME (6 L<p8h0% j`x|k %Macro recorded 01/06/2006 by harris_d 14HX<'ie.88+E $*\Rffff*0J45eedd2b*\R1*#229*\R1*#c4 "   ,( X `hx8op n Macro& Macro recorded 01/06/2006 by harris_dA@<Attribute VB_Name = "Module8" Sub n() n.Description`acro recorded 01/06/2006 by harr0is_d Pr@ocDataQInvoke_FuncQ \n141' ' n >M` i(  Calculate End rU~| )H $ T$ k__SRP_f __SRP_eo_VBA_PROJECTmdirrU $`nײ0* pHd VBAProject4@j = r +E J< rstdole>stdole f%\*\G{00020430-C 0046}#2.0#0#C:\WINDOWS\SYSTEM\c2.tlb#OLE Automation^DOfficDO>fic5DD2DF8D04C-5BFA-101B -BDE5DAA5B42Dgram Files\Microso(ft 6\MSO9.DLL#  9.0 Ob LibraryC   Module1G#du? 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