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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   ZR  A@C:\Documents and Settings\harris_d\My Documents\backup\easyPlanet\beta\images\blurplanet1.JPGText 2 t$b] @ZRć <Press the F9 button to roll the two dice 48 times or hold down the F9 key on your keyboard to generate many trials. Each two adjacent blue areas represent twenty-four tosses of the die: one trial of Chevalier de Mere's second game. </+xt  @ZR  @Text 14X =]ZR /<0Simulation of Chevalier de Mere's second Game<Y/rj  0M? b ]d  '@"d??3t '3 d23 M  4 3Q:  winsQ:QQ3_4E4 3Q: trialsQ:QQ3_ O  `  MM< 4E4D$% M 3O&Q4$% M 3O&Q4FAs 3O{- 3 bo#M43*#M&! M4523  43" t s3O~ r% M3O&Q423 M 4444% Mp3O&Q'4% Mp3O &Q'4% Mp3O&Q'44eeR@d@e xp  6 M? Sb]4  '@"4??3u3 d( 23 M  4 3Q ratioQ:QQ3_ O   MM< 4E4D$% M 3O&!Q4$% M 3O&!Q4FArX c 3O 3 bo#M43*???#M& ! 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(b) He was unlikely to win this bet? (c) He was just as likely to win as lose? < >@7 '@ y  MbP?_*+%;M\\JUPITER\maths1_34_hp-2300C odLetter DINU"4$-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 9999OD  winkD  winLD  win-D  winlose"""Blose':@9B':@9B':?9B':@9B  O  O9O L  winkL  winLL  win-L  winlose"""Bwin':?9B':@9B':@9B':@9B~  O? O9O win':@9B':@9B':@9B':?9B~  O@ O [ \9O lose':@9B':?9B':?9B':@9B~  O@ O~ ]?i^,@S%@1AZ%@1AZ%@1AZ%@1AZ9DO win';@9B';@9B';@9B';@9B~  O@ O~ ]@i^,@S%@2AZ%@2AZ%@2AZ%@2AZ9tO win';@9B';?9B';@9B';@9B~  O@ O~ ]@i^*@S%@3AZ%@3AZ%@3AZ%@3AZ94O win';@9B';@9B';@9B';@9B~  O@ O~ ]@i^$@S%@4AZ%@4AZ%@4AZ%@4AZ9lO win';@9B';@9B';@9B';@9B~  O@ O~ ]@i ^.@S%@5AZ%@@5AZ%@5AZ%@5AZ 9O lose' :@ 9B' :@ 9B' :@ 9B' :? 9B~ O @ O~ _@i `,@ S%@6AZ%@6AZ%@6AZ%@6AZ 9O lose' :? 9B' :@ 9B' :@ 9B' :? 9B~ O"@ O 9O lose' :@ 9B' :@ 9B' :@ 9B' :? 9B~ O$@ O 9O win' :@ 9B' :? 9B' :@ 9B' :@ 9B~ O&@ O 9O lose' ;@ 9B' ;@ 9B' ;@ 9B' ;@ 9B~ O(@ O9<O win';@9B';@9B';@9B';@9B~  O*@  O< 9O win';@9B';?9B';@9B';@9B~  O,@  O< 9O lose';@9B';@9B';?9B';@9B~  O.@  O< 9OD  winkD  winLD  win-D  winlose"""Blose':@9B':@9B':@9B':?9B~  O0@  O< 9OD  winkD  winLD  win-D  winlose"""Blose':@9B':@9B':@9B':@9B~  O1@  O> ??9OD  winkD  winLD  win-D  winlose"""Bwin':@9B':@9B':@9B':@9B @~  O2@  O= 9,OD  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$fff % B a bbc  U# V* e BJ a bbc a ccc a bbc d bbc >0"p~ hhhhiippk`zES0 (  j  0,M?) %]f  '@"f??3ؿ ?3d23 M , 4 3QQ ; Q ; Q3_ O   d 4E4D$% M 3O&Q4$% M 3O&Q4FA 3O 3 bo#M&43*>@#M&! M4523  43" 44%  @M*<3O&-Q (80 Tosses of a Die'4%   z3Op&Q'4%  8  z3Op&Q'4% X  z3Op&Q'4%  z3Oz&Q'4%  z3Ou&Q'4% d z3Op&Q'4%  p3O&Q'44ee,@*@,@(@&@0@e NN  R  A@C:\Documents and Settings\harris_d\My Documents\backup\easyPlanet\beta\images\blurplanet1.JPGText 2 ]@Rg <Press F9 to roll the die 80 times. Each row represents four tosses of the die ie. one trial of Chevalier de Mere's first game.<)S yt  @R  @Text 16_]Rg -<.Simulation of Chevalier de Mere's first Game<*-rj   0,,?D  %] g  '@"g??3?3d23 , , 4 3QQ:QQ3_4E4D$% 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  ==] tVld   c An`C:\My Documents\Hdnov29\Planet\images\planetcircle.JPGyK yK 4http://www.planetqhe.com/"0*visit planetqhe.com!Uzz]& ` P>@7 '@"??>  '@"??>  '@"??>  '@"??>  Module1Module2P__SRP_2 1__SRP_35  !"#$%&'()*+,-./0234679:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ\]_abcdefghijklmnopqrstuvwxyz{|}WxME(<<< <hx`@ x(x ed 6/20/2002 by AMILO %8E "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 AMILOelexpE $*\Rffff*0;3fd879eb"   (0 X ` hx"   (   (@`x Button20_Click Macrouff\" Macro recorded 6/20/2002 by AMILO B@&op Button21_Click Macro" Macro recorded 6/20/2002 by AMILOB21,E21$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 HE $*\Rffff*0<3fd879eb"   (0 X `(h( !(!(!(?((H`p Button23_Click Macro" Macro recorded 6/20/2002 by AMILOB21,E21$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?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvxyz{|}~0B@:A@<A@<A@<A@<A@<A@<A@<A@<A@<A@<A@<A@<A@<A@<A@<A@<A@<A@<A1$B@HDAttribute VB_Name = "Module6" S@ub newreset() `.zDescriptionacro recorded 3/30/2003 by AMILOProcDataWInvok@e_FuncW \n14;' ' Mpy)$  Range("A21:F21").Select i.ClearContents33:F331opy 3ActiveSheet.Paste>F<.Colo@rIndex0 ) \End colg20cdm2 pN%q qApplica.Run "'@CompouBcoinsdice.xls'!ȭAyCalcula]%!!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$b XHHx'%'%'%'%'%'%'%'%'%'%'(%'8%'H%'X%'h%'x%'%'%'%'%'%'%'%'%'%'%'(%'8%'H%'X%:h %x$ x x5x $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T(x'X%:h %$ xx$b xxfrU $`$`n"v<xME(6 << <8\0% ^`x %Macro recorded 01/06/2006 by harris_d 14H88E $*\Rffff*0O45eedda8 "   ,( X `h8op n Macro& Macro recorded 01/06/2006 by harris_dUsR36$B@HA@<pڰAttribute VB_Name = "Module7" Sub n() n.Description`acro recorded 01/06/2006 by harr0is_d Pr@ocDataQInvoke_FuncQ \n141' ' n >M` i(  Range("R36").Select Calculate End u rU~|  0 8  __SRP_b 6__SRP_a9o_VBA_PROJECT;dirwlkrU $ `inam  *\G{000204EF-0000-0000-C000-000000000046}#4.0#9#C:\PROGRAM FILES\COMMON FILES\MICROSOFT SHARED\VBA\VBA6\VBE6.DLL#Visual Basic For Applications *\G{00020813-0000-0000-C000-000000000046}#1.3#0#C:\Program Files\Microsoft Office\Office\EXCEL9.OLB#Microsoft Excel 9.0 Object Library*\G{00020430-0000-0000-C000-000000000046}#2.0#0#C:\WINDOWS\SYSTEM\stdole2.tlb#OLE Automation *\G{2DF8D04C-5BFA-101B-BDE5-00AA0044DE52}#2.1#0#C:\Program Files\Microsoft Office\Office\MSO9.DLL#Microsoft Office 9.0 Object Library  E Module1053fd879e7Module1]Module20;3fd879eb"Module2Module30<3fd879eb,Module30,Module4043fd879e76Module4HEThisWorkbook0:3fd879e7?ThisWorkbook[h=Module50D3fd87affDModule5*dA Module60D3fda5999LModule6 Module70O45eedda8\Module7<|H0h05Wq@H}Sرэ` '@+ir`l͛؞JVÍy@xͿlwG|apI,H*vPE [o 'h**XBҊW0.]WGur/5*RFALSE ATTRIBUTE VB_CREATABLEVB_DESCRIPTIONVB_NAMEExcel+VBAWin16~Win32MacVBA6# VBAProjectstdole`OfficeuModule1b _EvaluateButton18_ClickZRange  SelectionZ ClearContents{ ActiveCell FormulaR1C1SModule2cButton20_Click}DeletexButton21_ClickActivate|Module3dButton23_Clickq Application* CommandBars VisibleModule4ecollectRun_ Calculate ThisWorkbook|WorkbookkItemzModule5freset>rereset + rereresetnModule6g newnewresetvCopyƿ ActiveSheet%NPasteFontU ColorIndex collect20cdm2ȕModule7hne? EM#]- 7 (h0* 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#du1* 2 HB1l]B,B!B+BI2O2J2O2O@g3O3J3O3PV,Og4O4J45O4PE`ThisWorkbo okG^T"hsWyrkbo- 2 _=>[V"=>5/!5*!55/!50!A/*dUuM6666I /\7U777|S@m<-K*mrU~~~~~~~~~~~~~~~~~O A 7@6:2E  a pa __SRP_0__SRP_1"PROJECTwmPROJECT a 1IAa @ a p )1!)Module1Module2Module3Module4 ThisWorkbook VBAProjectF@C:\PROGRAM FILES\COMMON FILES\MICROSOFT SHARED\VBA\VBA6\VBE6.DLLVBA a 0F 3C:\Program Files\Microsoft Office\Office\EXCEL9.OLBExcel @0FC:\WINDOWS\SYSTEM\stdole2.tlbstdole  PL-[DR 1C:\Program Files\Microsoft Office\Office\MSO9.DLLOffice y`Button20_ClickButton21_Click Button23_ClickModule5resetrereset B21,E21FF E21ClearContents B21 =RC+R[-5]C[7] =RC+1n A1 rerereset E21,B21Module6 newnewreset A21:F21 A33:F33Copy A21 PasteFontColorIndex collect20cdm2 H'Compound coinsdice.xls'!newnewresetFModule7"rU    !Macro recorded 6/20/2002 by AMILO 14 !Macro recorded 3/28/2003 by AMILO !Macro recorded 3/30/2003 by AMILO %Macro recorded 01/06/2006 by harris_dHModule1Module1Module2Module2Module3Module3Module4Module4ThisWorkbookThisWorkbookModule5Module5Module6Module6Module7Module7ID="{2F0377BD-DA91-447D-9858-9529BAA75948}" Module=Module1 Module=Module2 Module=Module3 Module=Module4 Document=ThisWorkbook/&H00000000 Module=Module5 Module=Module6 Module=Module7 Name="VBAProject" HelpContextID="0" VersionCompatible32="393222000" CMG="47459E41A2FF0503050305030503" DPB="A6A47F2281DEE1DFE1DFE1" GC="0507DCBF641F651F65E0" [Host Extender Info] &H00000001={3832D640-CF90-11CF-8E43-00A0C911005A};VBE;&H00000000 ՜.+,D՜.+,,HP X`hp x  Chevalier de Mere two The questionChevalier de SummaryInformation(\DocumentSummaryInformation8HCompObjf      !"#$%&'()*+,Oh+'0,HPx Educational Technology Centero harris_dal @{s@^{@߫;Gj{/  -L&" WMFC Nnl6{/ EMFn/     !" !" !  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