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DNl^^^^^^^^]]@]@]]8U8UZ@!A!B!C!D!E!F!G!H!I!J!K!L!M!N!O!P!Q!R!S!T!U!V!W!X!Y!Z![!\!]!^!_!@@t@u@u@ u@0u@@u@Pu@`u@pu@u@u@u@u@u@u@u@u@v@v@ v@0v@@v@Pv@`v@pv@v@v@v@v@v@v@@ HA BB?OB+BB!LD  BB?OBB?OBB?OBB?OBB?OBB?OBB?OBB ?O BB ?O BB ?O BB ?O BB ?O BB?OBB?OBB?OBB?OBB?OBB?OBB?OBB?OBB?OBB?OBB?OBB?OBB?OBB?OBB?OBB?OBB?OBB?OBB CC?PC+CC!LD  BCPCCPCCPCCPCCPCCPCCPCC P CC P CC P CC P CC P CCPCCPCCPCCPCCPCCPCCPCCPCCPCCPCCPCCPCCPCCPCCPCCC DDQD+DD!LD  BDQDDQDDQDDQDDQDDQDDQDD Q DD Q DD Q DD Q DD Q DDQDDQDDQDDQDDQDDQDDQDDQDDQDDQDDQDDQDDQDDQDDQD7DQ!D7D  B7DQ!D7D  B7DQ!D7D  BD EERE+EE!LD  BEREEREEREEREEREEREEREE R EE R EE R EE R EE R EEREEREEREEREEREEREEREEREEREEREEREEREEREEREEREERE+EM!LD  BERE~ EE FFSF+FF!LD  BFSFFSFFSFFSFFSFFSFFSFF S FF S FF S FF S FF S FFSFFSFFSFFSFFSFFSFFSFFSFFSFFSFFSFFSFFSFFSFFSFFSEFSE7FS!D9D  BF GGTG+GG!LD  BGTGGTGGTGGTGGTGGTGGTGG T GG T GG T GG T GG T GGTGGTGGTGGTGGTGGTGGTGGTGGTGGTGGTGGTGGTGGTGGTGGTEGTE~ GG HHUH+HH!LD  BHUHHUHHUHHUHHUHHUHHUHH U HH U HH U HH U HH U HHUHHUHHUHHUHHUHHUHHUHHUHHUHHUHHUHHUHHUHHUHHUHHUEHUE7HU!D;D  BH IIVI+II!LD  BIVIIVIIVIIVIIVIIVIIVII V II V II V II V II V IIVIIVIIVIIVIIVIIVIIVIIVIIVIIVIIVIIVIIVIIVIIVIIVEIVE7IV!D<D  BI JJWJ+JJ!LD  BJWJJWJJWJJWJJWJJWJJWJJ W JJ W JJ W JJ W JJ W JJWJJWJJWJJWJJWJJWJJWJJWJJWJJWJJWJJWJJWJJWJJWJJWEJWE~ JJ KKXK+KK!LD  BKXKKXKKXKKXKKXKKXKKXKK X KK X KK X KK X KK X KKXKKXKKXKKXKKXKKXKKXKKXKKXKKXKKXKKXKKXKKXKKXKKXEKXE7KX!D>D  BK LLYL+LL!LD  BLYLLYLLYLLYLLYLLYLLYLL Y LL Y LL Y LL Y LL Y LLYLLYLLYLLYLLYLLYLLYLLYLLYLLYLLYLLYLLYLLYLLYLLYELYE~ LL MMZM+MM!LD  BMZMMZMMZMMZMMZMMZMMZMM Z MM Z MM Z MM Z MM Z MMZMMZMMZMMZMMZMMZMMZMMZMMZMMZMMZMMZMMZMMZMMZMMZEMZE7MZ!D@D  BM HN OOf@  OOZ LLOW@ (OOX LLO@U@ (OO`r@ (OOY@ (OOo@ (OO`d@ (OOr@ (OO &@ (OO  k@ ( OO @`@ ( OO U@ ( OO 0s@ ( OO@Y@ ( OO q@ (OOp@ (OO0@ (OO1@ (OO? (OO:@ (OOm@ (OOu@ (OO`g@ (OO r@ (OOf@ (OOI@ (OOI@ (OOb@ (O!Ot@( DBD(!Op@( DBD(!Oh@( DBD(O PP@[@ (OP )PPP LLP )PP )PP )PP )PP )PP )PP  )PP  ) PP  ) PP  ) PP  ) PP ) PP )PP )PP )OP )OP )OP )OP )OP )OP )OP )OP )OP )OP )OP )OPP QQ )OQ *OQ *OQ *OQ *OQ *OQ *OQ *OQ  *OQ  * OQ  * OQ  * OQ  * OQ * OQ *OQ *OQ *OQ *OQ *OQ *OQ *OQ *OQ *OQ *OQ *OQ *OQ *OQ *OQ *QQZ LLQ *Q!Q* DDD*Q RR *OR +OR +OR +OR +OR +OR +OR +OR  +OR  + OR  + OR  + OR  + OR + OR +OR +OR +OR +OR +OR +OR +OR +OR +OR +OR +OR +OR +OR +OR +QR +Q~ RR SS +OS ,OS ,OS ,OS ,OS ,OS ,OS ,OS  ,OS  , OS  , OS  , OS  , OS , OS ,OS ,OS ,OS ,OS ,OS ,OS ,OS ,OS ,OS ,OS ,OS ,OS ,OS ,OS ,QS ,QS ,QS TT ,OT -OT -OT -OT -OT -OT -OT -OT  -OT  - OT  - OT  - OT  - OT - OT -OT -OT -OT -OT -OT -OT -OT -OT -OT -OT -OT -OT -OT -OT -QT -Q~ TT UU -OU .OU .OU .OU .OU .OU .OU .OU  .OU  . OU  . OU  . OU  . OU . 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M43*???#M&! M4523  O43" . 3O&% M3O&Q423 M *4444% M <3OQ'4% Mp3O&Q'44ee ?e f^  S An`C:\My Documents\Hdnov29\Planet\images\planetcircle.JPGyK yK 4http://www.planetqhe.com/"0*visit planetqhe.com!d  `]&`7  |M Ab@C:\WINDOWS\Desktop\PLANET\images\blurplanet1.JPGText 2 Y{]@|M7 <Use the spinners to enter the number of random people whose birthdays you will sample. Press the F9 button to generate a new sample or hold F9 on your keyboard to generate many trials. Press RESET to clear all data.<!`X  S @M ]B` 9 ] m  M$ ~~   <M XPP? "& ]4 @Mp9 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<7 ~    lM A@îyK yK http://www.amazon.co.uk/exec/obidos/ASIN/0387987681/planetqhecom"ZTThis is a planetqhe.com recommended text!3 -] `lM: #<$Read about it here on amazon.co.uk!< #A   M A@îyK yK http://www.amazon.com/exec/obidos/ASIN/0387987681/planetqhecom01"ZTThis is a planetqhe.com recommended text!f] `M;  <!Read about it here on amazon.com< |  BA ?AA@?+]P`< & M]Photoshop.Image.6,xx  6̪MCC@ /{!],@̪ML>8^4M9 $<RESET<( rjB  0D o383]`>xx  6MCC@ +!@],@M;T^0M9 $ < Collect 20<7 xx  6RCC@ !],@R4^xR9 $<F9<R AMILO>@ '''7;$xR9CC ;$xR9CC4;$xR9CC ;$xR9CC;$xR9CC  Sheet2 '@  2Z\  MbP?_*+%"??9U      F" F# F$ F% F& F' F( F) F* F+ F, F- F. F/ F0 F1 F2 F3 F4 F5 F6 F7 F8 F9 F: F; F< F= F> F? F@ FA FBG FC FD FE FF FG HIdbbbbP0(  l  s *M  @x ]`M? <This question concerns one of the best-known probability puzzles- 'The Birthday Problem'. How many people should there be in a room so that the probability of at least two of them having the same birthday is fifty-fifty Choose an interval in which you consider the answer will lie: <R>@7 6 LL<<0 `@hk!Macro recorded 6/10/2002 by AMILO 14%PhP"*@l @\ @X @T @D @4 @$ @ xp8E$*\Rffff*093eada874*\R1*#229*\R1*#c4*\R1*#175*\R1*#b3*\R1*#63"   (0 X `(h !( !(!( ! #*S (P(p Button2_Click Macro" Macro recorded 6/10/2002 by AMILOAG21$B@H (AH21$B@H (AG21$B@H =RC+R[-1]C (AG21$B@H B@ @ "($ AG21:AH21$( *l B@& AG21:AH21$B@HA1$B@HophpAttribute VB_Name = "Module1" Sub Button2_Click()  h.Descriptionacro recorded 6/10/2002 by A0MILOMPr@ocDataYInvoke_FuncY \n14!=' ' Mt}$  Range("AG21").Select  ActiveCell.FormulaR1C1C7@H7:=RC+R[-1]C?"c.CopRygppa.8Cut@|A~False Aut@oFill wt$in :=HK:A=, Type:=xlA Defa|ulP W]End @ rU~| )Q)yAy ,(X'\%:l%$ XX!:l%X$ (X,X(X'\%:l%$ XX!:l%X$ (X,X(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 $`an;?h#__SRP_34oThisWorkbook6Module2 F__SRP_4aTxME (SLSS<N0{00020819-0000-0000-C000-000000000046}H(%H0(88E xAttribute VB_Name = "ThisWorkbook" Bas0{00020P819-0C$0046} |GlobalSpacFalse dCreatablPredeclaIdTru BExposeTemplateDerivBustomizD2 J?T xME(6 << < 0`@h!Macro recorded 6/10/2002 by AMILO 14.%Pxp8E$*\Rffff*0:3eada9d6"   (0 X `h  * 0 Button4_Click Macro" Macro recorded 6/10/2002 by AMILOAG22$B@H =RC+R20C33 (AG22$B@H B@  "($ AG22:AH22$( *l B@& AG22:AH22$B@HodAttribute VB_Name = "Module2" Sub Button4_Click()  h.Descriptionacro recorded 6/10/2002 by A0MILOMPr@ocDataYInvoke_FuncY \n14!=' ' Mt}$  Range("AG22").Select  ActiveCell.FormulaR1C1C=RC+R20C|33E"(.Copy,ppa.Cut FalseAutoFill" tin:=9:AH^, Type:=xlDefaule!F:End { rU~| krU $`ant ?x__SRP_5coModule3e6__SRP_6 j__SRP_7MEP6 LL<<< 1440% 6`xXk!Macro recorded 3/29/2003 by AMILO 14 >`Pxk8!Macro recorded 3/29/2003 by AMILO:@Pl X@\ @@X "B:[ Ph8 @x cl@ h on@8X se@PH I@h8 X@( @ @ @ @ @ @ @( @@ @X @p @x @h @X @H @8 @( @ @0 @H @` @x @ @ @ @ @ @x 88E$*\Rffff*0;3fda4734*\R1*#175*\R1*#c4*\R1*#229*\R1*#b3,"   (0 X `(h !( !( ("   ( (@ h p$x # (08(@`8op newreset Macro" Macro recorded 3/29/2003 by AMILO AG21:AH21$B@Hx B@8 AG22:AH22$B@H B@ AG21$B@H :B@<A1$B@Ho collect Macro" Macro recorded 3/29/2003 by AMILObirthday2.xls!newreset "B@@2 "($332 A@BA@BA@BA@BA@BA@BA@BA@BA@BA@BA@BA@BA@BA@BA@BA@BA@BA@BA1$B@Hb~Attribute VB_Name = "Module3" Sub newreset() T.nDescr@iption|acro recorded 3/29/2003 by AMILOProcDataTInvoke _FuncT \n148' ' Mjs$  Range("AG21:AH21").Select g.ClearContentVs22o py 4ActiveSheet.`Paste  End colW >ed 6dApplica.Run "birthday2.xls!EgI pCutCZFalsPCalculaT.!!ERrU~|  A)Q)y ) 8(X'\%:l%$ XX!X $ XX(X'\%:l%$ XX!X $ XX(X'\%:l%$ XXX$ @XX(X'\%:l %$ XX$$b Xl4x'%'%'%'%'%'%'%'%'%'%'(%'8%'H%'X%'h%'x%'%'%'%'%'%'%'%'%'%'%'(%'8%'H%'X%:h %x$ x x5x# x$ x  x $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T(x'X%:h %$ xxM4$b xxfrU $`$`ng?CModule4 __SRP_9 __SRP_8o_VBA_PROJECT= xME(6 L8D0% F`xXk %Macro recorded 01/06/2006 by harris_dt.I 14HpXBub@l @\ @X 888E$*\Rffff*0E45eedc38*\R1*#229*\R1*#c4*\R1*#175 "   ,( X `(h8op n Macro& Macro recorded 01/06/2006 by harris_dX40$B@HA@BpٰAttribute VB_Name = "Module4" Sub n() n.Description`acro recorded 01/06/2006 by harr0is_d Pr@ocDataQInvoke_FuncQ \n1' ' n M` i(  Range("X40").Select Calculate End u rU~|   )Q)t@(X'\%:l%$ XX $ T$@$ XkrU $ `nam  *\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  8E?Module1093eada874Module1RThisWorkbook073eada86b-ThisWorkbookhAModule20:3eada9d6.Module2T 0PModule30;3fda47344Module3P Module40E45eedc38DModule4CppP     !"#$%&'()*+,-./1235689:;<=?@ACDEFGHIJKLMNP08jK\`nE 8jK\`nE 8jK\`nE0TzZDϦ6^0(N&E{ 7[P#%$)RFALSE Excel+ VBAWin16~Win32MacVBA6# VBAProjectstdole`Officeu Module1b _Evaluate (Button2_ClickRange  ActiveCell FormulaR1C1S SelectionZCopyƿ Application* CutCopyModeAutoFill_ Destinationл xlFillDefault]j ThisWorkbook| Module2c (Button4_ClickkWorkbookk Module3d(newresetq ClearContents{ ActiveSheet%NPaste(collectRun_ Calculate Module4e(nex 5E-/ Z@ 50* pHd VBAProject4@j = r 8E 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 HB1lBE,BR!B+BmThisWorkbookGDdir 9__SRP_0M__SRP_10PROJECTwm4@ThOsW rkbo 2 $A$h"WB#$GB2OB2JB2iOB2OPMTV KBG3O3J3%O3P :UU4O4J4O4PpC-K*mrU~~~~~~~~~~~~~[ z&\I v  a pi  )a Y Aa     VBAProjectModule1 ThisWorkbookModule2F@C:\PROGRAM FILES\COMMON FILES\MICROSOFT SHARED\VBA\VBA6\VBE6.DLLVBA A i0F 3C:\Program Files\Microsoft Office\Office\excel9.olbExcel a@0FC:\WINDOWS\SYSTEM\stdole2.tlbstdole iPL-[DR 1C:\Program Files\Microsoft Office\Office\MSO9.DLLOffice a` Button2_Click  Button4_Click AG21FF)  AH21 =RC+R[-1]CCopyF AG21:AH21DestinationTypeAutoFill A1Module3newresetClearContents AG22:AH22 Pastecollect ,birthday2.xls!newresetModule4n X40DrU     !Macro recorded 6/10/2002 by AMILO 14 !Macro recorded 3/29/2003 by AMILO %Macro recorded 01/06/2006 by harris_dRModule1Module1ThisWorkbookThisWorkbookModule2Module2Module3Module3Module4Module4ID="{E0B724F7-DEA0-4DC4-9D97-109A405481B0}" Module=Module1 DocPROJECT7SummaryInformation(>DocumentSummaryInformation8B<CompObjOfument=ThisWorkbook/&H00000000 Module=Module2 Module=Module3 Module=Module4 Name="VBAProject" HelpContextID="0" VersionCompatible32="393222000" CMG="5250846AD46ED46ED46ED46E" DPB="9E9C483ED8C625C725C725" GC="EAE83CF289F389F376" [Host Extender Info] &H00000001={3832D640-CF90-11CF-8E43-00A0C911005A};VBE;&H00000000 Oh+'0@H`t Tony CRUTTENDEN harris_dTENMicrosoft Excel@Uw@m՜.+,D՜.+, PXd lt| CCC  Birthdays 2 Question  Worksheets$ 8@ _PID_HLINKSAEhttp://www.planetqhe.com/F Ahttp://www.amazon.co.uk/exec/obidos/ASIN/0387987681/planetqhecom^Z Ahttp://www.amazon.com/exec/obidos/ASIN/0387987681/planetqhecom01 FMicrosoft Excel WorksheetBiff8Excel.Sheet.89q