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D!B$9" B" #" #~ #?@ #P#L#:D" D"B$9" B# $# $~ $@@ $P$P$:D# D#B$9" B$ %$ %~ %@@ %P%T%:D$ D$B$9" B% &% &~ &A@ &P&X&:D% D%B$9" B& '&@ '~ 'A@ 'P'\':D& D&B$9" B' (' (~ (B@ (P(`(:D' D'B$9" B( )(? )~ )B@ )P)):D( D(B$9" B) *) *~ *C@ *P**:D) D)B$9" B* +* +~ +C@ +P++:D* D*B$9" B+ ,+ ,~ ,D@ ,P,,:D+ D+B$9" B, -, -~ -D@ -P--:D, D,B$9" B- .- .~ .E@ .P..:D- D-B$9" B. /. /~ /E@ /P//:D. D.B$9" B/ 0/ 0~ 0F@ 0P00:D/ D/B$9" B0 10 1~ 1F@ 1P11:D0 D0B$9" B1 21 2~ 2G@ 2P22:D1 D1B$9" B2 32 3~ 3G@ 3P33:D2 D2B$9" B3 43 4~ 4H@ 4P44:D3 D3B$9" B4 54 5~ 5H@ 5P55:D4 D4B$9" B5 65 6~ 6I@ 6P66:D5 D5B$9" B6 6 2nt \(  x  6iCC@],@i 6,/ i9 $<RESET </e(J` >J迊3d 23 M )4 3Q: Ann winsQ:QQ3_4E4 3Q:  Bridget winsQ:QQ3_4E4D$% M 3O&Q4$% M 3O&Q4FAc 3O8 3 b+MZ! M43*??#M&! M4523  O43" i 3Oi % M3O&Q44444eee .&  S An`C:\My Documents\Hdnov29\Planet\images\planetcircle.JPGyK yK 4http://www.planetqhe.com/`0]&`h 6~~  <[ XPP? ]]4@[ 6 KJ1O#8 <Tech Help: the tallying of scores requires the use of a circular formula which is not allowed in the normal calculation mode. So we need to do the following; Tools-Options-Calculation-Automatic Iteration - Maximum Iterations 1 - OK< : 8~v  <NMM?- ]` 6  '@" ??3` >J` >J??^3dG 23 M NM4 3Q >frequency of throws until winQ ;Q ;Q3_4E4D$% M 3O&Q4$% M 3O&Q4FAW} 3Ok3 boP P PZR R R RR RV Vd#MSS43*#M! M4523  O43" 4SS4% O3M <3O&Q'4SS 4ee?     e    ^ Ab@C:\WINDOWS\Desktop\PLANET\images\blurplanet1.JPGText 2 !] @^D6 C<D Press F9 to generate a new sample. Press RESET to clear all data. <CAMILOn>@766;$6 a new sample. Press RESET to clear all data. b  '@ ̈  MbP?_*+%Mibcg od%3wJX1nHdCustom page 1XCCCustom page 2XCCCustom page 3XCC"d??U (  l  s *v  @]`v6 =H<>Two women, Ann and Bridget, play a game in which they take it in turns to throw an unbiased six-sided die. The first woman to throw a '6' wins the game. Ann is first to throw. (a) Find the probability that (i) Bridget wins on her first throw (ii) Ann wins on her second throw (iii) Ann wins on her nth throw (b) Let p be the probability than Ann wins the game Show that p=1/6+25/36p (c) Find the probability that Bridget wins the game. (d) Suppose that the game is played six times. Find the probability that Ann wins more games than Bridget <HW X9 B:=>@7 Module1 + __SRP_2%__SRP_30oThisWorkbook2  !"#$&'()*+,-./13456789:;<=>?@ACDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijlmnopqrtuvwxyz{|}~i2xMEP6 LL<<(80% `xk Macro recorded 7/5/2002 by AMILO 14`H &.T]jI{j=1@xl )L[l@\ GKba@X 5WV8@T LSFi@D @4 @$ @ 88cs>$*\Rffff*063e7363da*\R1*#229*\R1*#c4*\R1*#175*\R1*#b3*\R1*#63"   (8 ` h(p !(!( ! #&S(((@`8op Button3_Click Macro000! Macro recorded 7/5/2002 by AMILOH6:H30$B@H B@H6$B@H =RC+RC[-1] ("H6$B@H B@$ &((H6:H30$, .l B@*H6:H30$B@HA1$B@HAttribute VB_Name = "Module1" Sub Button3_Click()  h.Descriptionacro recorded 7/5/2002 by AMILOLPro cDataXInvoke_FuncX \n14=' ' MsO|#  Range("H6:H30").Select  i.ClearContents ActiveCell.FormulaR1C1^=RC+RC[-1]`/#!;opy7Ap pa.CutC FalseAutoFill tin:=8v, Type:=xl Defaul>L EA1H>End rU~|  YAaA!q(X'\%:l%$ XX!X $ XX(X'\%:l%$ XX!:l%X$ (X,X(X'\%:l%$ XX!X $ XX# X$ X XSX'\%:l%$ QXoD%$%T $ T  T5D(X'\%:l%$ XX(X'\%:l %$ XXh$b XTDkrU $`ani-#xME (SLSS<N0{00020819-0000-0000-C000-000000000046}8(%HxAttribute VB_Name = "ThisWorkbook" Bas0{00020P819-0C$0046} |GlobalSpacFalse dCreatablPredeclaIdTru BExposeTemplateDerivBustomizD2am  *\G{000204EF-0000-0000-C000-000000000046}#4.0#9#C:\PROGRAM FILES\COMMON FILES\MICROSOFT SHARED\VBA\VBA6\VBE6.DLL#Visual Basic For Applications *\G{00020813-0000-0000-C0_VBA_PROJECTB0 dirk__SRP_0 sM__SRP_1z00-000000000046}#1.3#0#C:\Program Files\Microsoft Office\Office\EXCEL9.OLB#Microsoft Excel 9.0 Object Library*\G{00020430-0000-0000-C000-000000000046}#2.0#0#C:\WINDOWS\SYSTEM\stdole2.tlb#OLE Automation *\G{2DF8D04C-5BFA-101B-BDE5-00AA0044DE52}#2.1#0#C:\Program Files\Microsoft Office\Office\MSO9.DLL#Microsoft Office 9.0 Object Library cs>iModule1063e7363daModule12ThisWorkbook033e78fe671ThisWorkbook- %@  H9A"z2Af`p=E?(U'RFALSEExcel+VBAWin16~Win32MacVBA6#Project1 stdole` VBAProjectOfficeuModule1b _Evaluate Button3_Click 3Range  SelectionZ ClearContents{ ActiveCell FormulaR1C1SCopyƿ Application* CutCopyModeAutoFill_ Destinationл xlFillDefault]j ThisWorkbook|WorkbookkT1$0* pHd VBAProject4@j = r cs> 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 i Module1G#du1* 2 HB1lBE,B2!B+BmThisWorkbookGD@ThOsW rkbo 2 $%$-" B#$K*mrU~~~~~~~m |m) Kg h  a 9p Module1 VBAProjectF@C:\PROGRAM FILES\COMMON FILES\MICROSOFT SHARED\VBA\VBA6\VBE6.DLLVBA  0F 3C:\Program Files\Microsoft Office\Office\EXCEL9.OLBExcel 9@0FC:\WINDOWS\SYSTEM\stdole2.tlbstdole APL-[DR 1C:\Program Files\Microsoft Office\Office\MSO9.DLLOffice 1` Button3_Click  H6:H30FFClearContents H6 =RC+RC[-1]CopyFDestinationTypeAutoFill A1 ThisWorkbookrU   Macro recorded 7/5/2002 by AMILO 14gModule1Module1ThisWorkbookThisWorkbookID="{3EEAF5CF-8560-4982-84F2-B4802BA614D8}" Module=Module1 Document=ThisWorkbook/&H00000000 Name="VBAProject" HelpContextID="0" VersionCompatible32="393222000" CMG="3032D61CDA1CDA1CDA1CDPROJECTwmAPROJECT QSummaryInformation(DocumentSummaryInformation8A" DPB="8C8E6A289A859B859B85" GC="E8EA0ED10FD10F2E" [Host Extender Info] &H00000001={3832D640-CF90-11CF-8E43-00A0C911005A};VBE;&H00000000 Oh+'0@HXl AMILOf harris_d Microsoft Excel@b7$@7՜.+,D՜.+,0 PXd lt| IST Ann and Bridget SimulationThe Exam Question  Worksheets 8@ _PID_HLINKSAlEhttp://www.planetqhe.com/ FMicrosoft Excel WorksheetBiCompObjfff8Excel.Sheet.89q