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A?@ L% B ~  @   _?   ?   ~  @   3Y>_?   @  ~  @   FR~?   @  ~  @   h4+?  @  ~  @   ALE?   @ 8Dlfi ccc)syR<y<c<<< !8 8!<(  d2  s * @g    ]`@ld2  s * @g  x]`ld2  s * @g   K ]`ld2  s * @g  bx]`ld2   s * @g ] `xld2   s * @g d] `ld2   s * @8c -] `.&   S An`C:\My Documents\Hdnov29\Planet\images\planetcircle.JPGyK yK 4http://www.planetqhe.com/<x]& `xx  6H_SCC@ ],@H_St^S9 $<Reset <&e:e~v  <NMM?]`\  '@"\??3` Z` Z ` >J` >J3d923 M NM4 3Q  theoreticalQi ;Q ;Q3_4E4 3Q  experimentalQ ;Q ;Q3_4E4D$% M 3O&Q4$% M 3O&Q4FAC q 3O L 3 b#M&43*#M! M4523  O43" D 3OD% M3O&Q4444% WjmM <3O&Q :theoretical vs experimental'44ee?????e ll  s *,bS  @ G]`,bSh% 1<2total of Mr Black and Mrs White sitting together=<1rr  0|bS  @ bK]`|bS% <total trials = <I~~  <bS XPP? ]4@bSX& H>͸NYur <Tech Help: the tallying of scores requires the use of a circular formula which is not allowed in the normal calculation mode. So we need to do the following; Tools-Options-Calculation-Automatic Iteration - Maximum Iterations 1 - OK <k bi  0cS Ab@C:\WINDOWS\Desktop\PLANET\images\blurplanet1.JPGText 2]@0cS& ?<@ Press F9 to run the experiment. Press RESET to clear all data.<?AMILOn>@76 ?  all data.b red?  all data.b green?  all data.bblue>   ;$  a.b ;$  a.b ;$  a.b >   ;$  a.b1;$  a.b ;$  a.b   ;$    a.b7 Sheet1 '@   MbP?_*+%Mhp deskjet 845c series!@8߀f d4 d Beںں"d??U (  l  s *tS  @< `x]`tSt b<cFive IB students tried this exam question; Mr Blue, Mr Black, Mr Green, Mrs White, Mrs Yellow and Mrs Red sit around a circular table for a meeting. Mr Black and Mrs White must not sit together. Calculate the number of different ways these six people can sit at the table without Mr Black and Mrs White sitting together. They could not agree on the answer. (1) Use this simulation to generate the experimental probabilities to help you figure who (if anyone) was correct. (2) Prove the answer, showing your method clearly. (3) TOK Assignment - Comment the strengths and weaknesses of the type of "proof" offered by this simulation. Keywords - Validity, Inductive, Deductive, Infinity, Rigorous, Subjective, Necessary, Sufficient. (4) How could you use the experimental probabilities to adapt the sheet to give a predicted number that answers the question?<b>@7 Sheet2 Module1J__SRP_2 " __SRP_3+oThisWorkbook -  !#$%&'()*,./0123456789:;<>?@ABCDEFGHIJKLNOPQRSTUVWXYZ[\^_`abcdefghijklmnopqrstuvwxyz{|}~_ݕxME(6 L80% `xXk"Macro recorded 12/16/2002 by AMILOta 14PhP"@l @\ @X 88M?$*\Rffff*063f4df417*\R1*#229*\R1*#c4*\R1*#175"   *0 ` h(p( !(\!((!@(Xx8op reset Macro# Macro recorded 12/16/2002 by AMILOQ14,Q18$B@HQ18$B@ B@ Q14$B@HG=RC+SUM(R[-9]C[-8],R[-6]C[-13],RC[-13],R[4]C[-8],R[-1]C[-4],R[-5]C[-4]) "($Q18$B@H=RC+1 "($B1$B@H]Attribute VB_Name = "Module1" Sub reset() H.Descriptionpacro`corded 12/16/2002 by AMILOPro cDataRInvoke_FuncR \n145' ' MeOn%  Range("Q14,Q18").Select  Actipvate q.ClearContents4 (!eCell.FormulaR14C1i_:"=RC+SUM(R[-9]C[-8],613S [4145)a nE'@AzB1H2End @ rU~|  IQqd0(X'\%:l%$ XX(X'\%:l%$ X0X!X $ XX(X'\%:l%$ XX!:l%X$ (X,X(X'\%:l%$ XX!:l%X$ (X,X(X'\%:l %$ XX$0$b XkrU $`anݕQ#xME (SLSS<N0{00020819-0000-0000-C000-000000000046}8(%HxAttribute VB_Name = "ThisWorkbook" Bas0{00020P819-0C$0046} |GlobalSpacFalse dCreatablPredeclaIdTru BExposeTemplateDerivBustomizD2ݕ#xSheet1 =Sheet2 M_VBA_PROJECT] dir,ME (SLSS<N0{00020820-0000-0000-C000-000000000046}8(%HxAttribute VB_Name = "She@et1" Bast0{00020820- C$0046} |Global!SpacFalse dCreatablPre declaIdTru BExposeTemplateDeriv$Bustom izD2ݕ#xME (SLSS<N0{00020820-0000-0000-C000-000000000046}8(%HxAttribute VB_Name = "She@et2" Bast0{00020820- C$0046} |Global!SpacFalse dCreatablPre declaIdTru BExposeTemplateDeriv$Bustom izD2am  *\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 M?ݕModule1063f4df417Module1ThisWorkbook033f4e25b4'ThisWorkbookQ % Sheet1033f66fafb+ Sheet1@% Sheet2043f66fafb- Sheet2X%xX@ Q"WH[8`>SC~*K2 *K2T'Excel+VBAWin16~Win32MacVBA6#Project1 stdole` VBAProjectOfficeuModule1b _Evaluatereset>Range Activate| SelectionZ ClearContents{ ActiveCell FormulaR1C1S ThisWorkbook|WorkbookkSheet1Sheet2 Worksheetl'+-H(0* pHd VBAProject4@j = r M? 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 ݕ Module1G#du1* 2 HB1lgBE,B!B+BmThisWorkbookGD@ThOsW rkbo 2 $%$Q"B#$Sheet+BS@#ert;AG2B#Ii2GL2]22:K*mrU~~~~~~~m *K2  a )p   1 I__SRP_0 __SRP_1PROJECTwmkPROJECTModule1 VBAProjectF@C:\PROGRAM FILES\COMMON FILES\MICROSOFT SHARED\VBA\VBA6\VBE6.DLLVBA  0F 3C:\Program Files\Microsoft Office\Office\EXCEL9.OLBExcel 9@0FC:\WINDOWS\SYSTEM\stdole2.tlbstdole APL-[DR 1C:\Program Files\Microsoft Office\Office\MSO9.DLLOffice 1`reset  Q14,Q18FFy Q18ClearContents Q14% =RC+SUM(R[-9]C[-8],R[-6]C[-13],RC[-13],R[4]C[-8],R[-1]C[-4],R[-5]C[-4]) =RC+1 B1y ThisWorkbookSheet1Sheet2trU  "Macro recorded 12/16/2002 by AMILO 14gModule1Module1ThisWorkbookThisWorkbookSheet1Sheet1Sheet2Sheet2ID="{97C4AAF7-7CFA-4774-A2BA-F82B876D2C9B}" Module=Module1 Document=ThisWorkbook/&H00000000 Document=Sheet1/&H00000000 Document=Sheet2/&H00000000 Name="VBAProject" HelpContextID="0" VersionCompatible32="393222000" CMG="FBF9D1120616061606160616" DPB="2C2E0669069B079B079B" GC="5D5F77B899E89AE89A17" [Host Extender Info] &H00000001={3832D640-CF90-11CF-8E43-00A0C911005A};VBE;&H00000000 [Workspace] Module1=0, 0, 0, 0, C ThisWorkbook=0, 0, 0, 0, C Sheet1=0, 0, 0, 0, C Sheet2=0, 0, 0, 0, C Oh+'0@SummaryInformation(DocumentSummaryInformation8CompObjfHXl AMILOf harris_d Microsoft Excel@b8@Q՜.+,D՜.+, PXd lt| IST  SimulationThe Questions  Worksheets 8@ _PID_HLINKSAlE http://www.planetqhe.com/ FMicrosoft Excel WorksheetBiff8Excel.Sheet.89q