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M4%   M3O/&"Q  Frequency'4523  O43" 444eee   LA ?@ScrollBar1C- ]h a1 >  SForms.ScrollBar.1 $>@  7 Sheet2 '@ !&  MbP?_*+%&A Page &P"P??1U} 5!  h h                                      ! ! !.#"z#$$$BC@0 outcomes had difference = 5 and 0 outcomes had difference = 8$ "@" @"p@$$                                DYl,, >    4>@7 Sheet11 '@" ofDs wi??bb> of VBA 0VW P7XW REPRESENT FUNCTION& __SRP_9 >__SRP_8I}(6 < < `k@ I `I T @% 140H`x P8@l P@@ @0 @  @ @` x8@ ``@ @ @ h4 @ @ @ @" @$p @&`` @P @@ @0 @ @8 @* @ @(@ &>$*\Rffff*363abca2c8*\R0*#15B 0 @P hp,@! 0@ P]  +   A@4 ' ' '" '$ '& '   " $ & * '( ($ (+  $'i$Attribute VB_Name = "REPRESENT FUNCTION" Function Represent(Boys, trails) D.ProcDataInvoke_ \n14[Dim repp(6FFor t1 To 6  t)0 Next t$n$ Randomize aIRnd * 2Vbcd#fxa + bcdefg_x_d+ 1d~nZ"WE\ rU~|  !,|(@( h2(0@"TR @~( hc ' 5' j 5' j 5' j 5' j p5' j `5' j P5@@p0` P6 @0 !"T(0"TR5 ~H0"Tl|btlT p@`P$@0 krU , `ay//n|1xMEBBBGGG FUNCTION K __SRP_fsL__SRP_e}tBBBBGB FUNCTION ((6 < <@ .`k@ I0 ,% 14`xHH0`@.l pH@\ @2L @< @P, @ @  (4 @ @4 @6 @8 @@ @:H @< @ @ | @8l @h\ @L @< @, B@ @ @ @ B@ @  C@ph&>$*\Rffff*2?3abca2c8*\R0*#15B   (0@P`ph{  '. 2 00A@4 '4 '6 '8 ' ': '< 4 6 8  : <G . '.j 2iAttribute VB_Name = "BBBGGG FUNCTION" Function Bbbggg(tr) *.ProcDataInvoke_v \n14 X"0or j 1 To tr Random@ize qInt(Rnd *T 2prstuvIf ((81) A7(52/0,)0)) The2u+ 1 Next j E/ rU~| !` (\l(,L% 14p&> B (0@P`ph '@ 2 BA@4 '4 '6 '8 ' ': '< 4 6 8  : <G @ '@j 2iAttribute VB_Nam@e = "BGB FUNCTION" Fun@ction h(`tl) *.ProcDataInvoke_v \n14X"0or j 1 To tl Randomize qInt(Rnd * 2prs*tuvIf ((81) A7(52/ ,0)1)) 8The2u+ 1 Next 0j E/ |1BGGBGB FUNCTION  __SRP_7L__SRP_6tGGGGGG FUNCTION   xME(6 < <@ F`k@ IB D% 14H@`xHH0`@Fl pHb@\ eB@2L @< @P, @ C 8C@  E('T4 @@ 8C@4 r @6 er@8 n @ ch@: aRe@< ma R@ @ | @8l @h\ @L @< @, @ @ @ @ @ @  @ph&>$*\Rffff*323abca2c8*\R0*#15 B   (0@P`ph{ 'F 2 BA@4 '4 '6 '8 ' ': '< 4 6 8  : <G F 'Fj 2iAttribute VB_Name = "BGGBGB FUNCTION" Function h(tl) *.ProcDataInvoke_v \n\14X"0or j 1 To tl Randomize qInt(Rnd * 2prstuv If ((81) A7(502?/, )1)) The2u+ 1 Next j E/ rU~| !` (\l(,L$*\Rffff*343abca2c8*\R0*#15 B   (0@P`ph{ 'J 2 LA@4 '4 '6 '8 ' ': '< 4 6 8  : <G J 'Jj 2iAttribute VB_Nam@e = "G FUNCTION" Function h(tal) ,.ProcDataInvoke_x \n14 X"0or jA 1 To U Randomi ze qInt(Rnd * 2qrst uvIf (B(80) A7(52/,)0)) The2u+ 1 Next j E/ rU~| !` (\l(,L?@ABCDEFGHIJKLMOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~ME(> < <x P`k@ I( N% 14P@Ph@Pl XxP P @*@\ h@L @@8< @,  @H G @0 h@ @` @x @ @ @ C@ "n@ Jd@8| @ l @\ @PL "@h<  @, "@ ++@ VF@ <@ @( y@ x@ 6@@ @X @ ph&>$*\Rffff*0?39f598ff*\R0*#15B   0 '8 8$( 8$( 8$( 8$( 8$( 8$(G 8'PcG ($P'PjiXPİAttribute VB_Name = "GETNUM FUNCTION" Function getnum(xX) (.ProcDataInvoke_tA \n14sInt(Rnd * 48) + 1 If (s <> x(1X) A 2 3 4 5 6))0 Theus pElseE7q rU~|   t'L 0j,<5L<(\%lL<<( %l<'<(%l<'|<(l%lL<<',<(%l<'<(%l<'6 LL <llL Ll ,bl<PL|L<,krU ( `/n4;/1xME__SRP_d )tLOTTERY FUNCTION"+LOTTLIM FUNCTION"Na__SRP_b(<<< < T`@ I& Vx `R% 14&>B  (8HXh x  r8   r H X]`c+Vc+Vc+Vc+Vc+Vc+V V$P+V V$P+V V$P+V V$P+V V$P+V V$P+V * " * "$V " $V G " $V'XF "$V'ZF X "+VF Z " +Vj " *$V $V $V $V $V $V'TiYAttribute VB_Name = "LOTTERY FUNCTION" Function lott(e), $.|Pr@ocDataInvoke_l \n14Dimarray(26 =1))9923j456 mgetnum(AGF=DKRYor g5 To 1 Step -1 c 1 g IBfc) > + Then `Small@ =c: Larg): = = NextL c@$ _t!& "@&^[XUaÙEnd EA"\} 1xME(6 < <  ^`(k@ ""I` `Ib I VT \% 14H@(`(0@^l '4'6'8@d`@ @`0 '<@f @h @x @ @  *@@ "X GP $V'X@ X @ @* "@h @$@/ `h @"| G @l hd@\ ence@@L utco@X< @Z, P Cxh@j B5@ `@ @ @ @ @ &>$*\Rffff*353abca2c8$*\Rffff*0?39f598ff"B   (@P`p $$$$$$ 0Hr}`   ""8  X jLh ]'d'f h c+Vc+Vc+Vc+Vc+Vc+V V$P+V V$P+V V$P+V V$P+V V$P+V V$P+V * " * "$V " $V G " $V'XF "$V'ZF X "+VF Z " +Vj " *$V$V 'j j `G d 'dj j bG d 'fj h d outcomes had difference =  ` and  f outcomes had difference =  b'^i ڱAttribute VB_Name = "LOTTLIM FUNCTION" Function lottlim(min, max, trails) H.ProcDataInvoke_ \n14[DimVarray(6H[count$0 d For C1 dTo~ sA1R)799234566getnum(AaF=DKRYg5Q1 Steph -1cWg Ifgc) ">H + [Then Small @ =c: LaLrg): = = N`ext c@$ ` diff 9-1_@- (H0B8 ax $*\Rffff*333abca2c8   ( 0" 8 @P Button4_Click MacroIo80Attribute VB_Name = "Module1" ' Button4_Click Macrod Sub <()  r.ProcDataInvoke_FuncAt \n14r End X rU~| 0  krU $`n'11#xME ThisWorkbook& Sheet1)__SRP_4__SRP_5(SLSS<N0{00020819-0000-0000-C000-000000000046}@(%@0&>xAttribute VB_Name = "ThisWorkbook" Bas0{00020P819-0C$0046} |GlobalSpacFalse dCreatablPredeclaIdTru BExposeTemplateDerivBustomizD2P4[1KcL'dCx F'dCxx%ScrollBar2, 17, 1, MSForms, ScrollBar%ScrollBar1, 18, 2, MSForms, ScrollBar'dCx'dCxMEPSLSSs6"<<<N0{00020820-0000-0000-C000-000000000046}(% % %*4`@%%*@(0@hh8P4&>*\R8003*#6c$*\Rffff*3<3abca2feh8<DxAttribute VB_Name = "She@et1" Bast0{00020820- C$0046} |Global!SpacFalse dCreatablPre declaIdTru BExposeTemplateDeriv$Bustom izD2Cont(rolclBar2, 17, MSFormps, S 118, #rU Xi  8 9 <Y  D 9 Ey14 @ 2rU P Y@y4 @(y@n( `-1AcD'dCx FSheet2$^__SRP_3#t__SRP_2iSheet11%+'dCxx$ScrollBar1, 7, 0, MSForms, ScrollBar'dCx'dCxMEPSLSSs6"<<<N0{00020820-0000-0000-C000-000000000046}(% %@*80@@%%@@xH(p&>*\R8003*#6c$*\Rffff*3?3abca4954@<xӰAttribute VB_Name = "She@et2" Bast0{00020820- C$0046} |Global!SpacFalse dCreatablPre declaIdTru BExposeTemplateDeriv$Bustom izD2Cont(rolclBar1, 7, 0, MSFor`ms, S rU  A4Y  < 9       !"#%&'()*+,-./0123456789:;<=>?@ABCDEFGHJKLMNOPQRSUWXYZ[\]^_`abcdefgijklmnopqrstuvwxyz{|}~Ey8 IrU H @y8n'1#xME (SLSS<N0{00020820-0000-0000-C000-000000000046}@(%H@0&>xAttribute VB_Name = "Sheet11" Basx0{00020820- C$0046} |GlobaBlSpacFalse dCre atablPr@edeclaI"dTru BExposeTemplateDer iv$BustomizD2/1]#xME Sheet3Module2$% __SRP_15'I__SRP_14To(SLSS<N0{00020820-0000-0000-C000-000000000046}H(%H0(8&>xAttribute VB_Name = "She@et3" Bast0{00020820- C$0046} |Global!SpacFalse dCreatablPre declaIdTru BExposeTemplateDeriv$Bustom izD2%1;xMEP6 LL<<080% `xk Macro recorded 5/9/2002 by AMILO 14PhPto@l @\ @X @T @D @4 @$ @ 88&>$*\Rffff*0>3e26d8e6*\R1*#229*\R1*#c4*\R1*#175*\R1*#b3*\R1*#63"   (0 X `(h !(!( ! #(S( (8X8op rrrr Macro! Macro recorded 5/9/2002 by AMILOA25:DY25$B@H B@FA25$B@H =RC+R[-1]C (A25$B@H B@A (BA25:DX25$ l B@A25:DX25$B@HA1$B@HzAttribute VB_Name = "Module2" Sub r()  D.Descriptionlacro recorded 5/9/2002 by AMILOProcDataOInvok@e_FuncO \n144' ' Ma j)#  Range("A25:DY25").Select a.ClearContentsActiveCell.FormulaR1C1[=RC+R[-1]C]0!J J< rs@tdole>stdol@e f%\*\G{_VBA_PROJECTtdirVt__SRP_0ht __SRP_1*"BBBBGB FUNCTIONy(BBBBGB tlE_ BGGBGB FUNCTION(BGGBGB GGGGGG FUNCTION5(GGGGGG tal+ GETNUM FUNCTIONu(getnumW LOTTERY FUNCTION(lottelotarraylSmallGLarge LOTTLIM FUNCTION3i(lottlim2minmaxȲmincountmaxcountCount0vdiffc Module1b (Button4_Clickk stdole` ThisWorkbook|Workbookk_B_var_t_B_var_n_B_var_a_B_var_b_B_var_c_B_var_d_B_var_e_B_var_f_B_var_g_B_var_x_B_var_j _B_var_q_B_var_r_B_var_s_B_var_u_B_var_v_B_var_mincounta_B_var_maxcount8 _B_var_Count: _B_var_Small4b _B_var_Largez _B_var_diff9 Sheet1MSFormsC ScrollBar1 ScrollBar2 Sheet2 Sheet3Sheet4Sheet5Sheet6Sheet7Sheet8Sheet9Sheet10 P Sheet11!PSheet12"PSheet13#PSheet14$PSheet15%PSheet16&P Worksheet Module2c(rrrreRange  SelectionZ ClearContents{RowsU ActiveCell FormulaR1C1SCopyƿ Application* CutCopyModeAutoFill_ Destinationл xlFillDefault]j?&EI O S    ]m ps -!%(  TION0?39f598ffNGETNUM FUNCTION00020430-C 0046}#2.0#0#c:\windows\SYSTEM\StdOle2.Tlb#OLE Automa0tion^MSForms>SFErms3DD452EE1-E08F-101A-8-02608C@4D0BB4DC:\WINDOWSDFM20.DLL#Microsoft 9 \ Object Library/;C1s00}#0#j0A1CED4351-1570-4D58-8F6460CD3F C1E536DOCUME~1\harris_d\@LOCALS@Temp\Exce l8.0\DU.exd`=#.E .`M 1@ REPRESENT FUNCTIONG$@EPR@SANT sUNCIOU@T2f@THB1B@B,*!B"+BBBPBGGG-rB@GA+2O) BGBBB* ͯ ) )s(GG)">=/>A e5> 7c) ?RGEPTNUM,>G@hTqfUM6> EYmN7) LOTTERZY zT E-~Yq2 vL|o5@ƽS LII*iLI*qwkuo}po@dule1Gpoxux1#r2__F='ThisWorkbookGAThi`wWxkbpok{@2p? -!? 1"0YQSheetSeta22@VLK2G2+22?A ) ? ___B3]3YJ3]3_5_][,`,, ;}1;am  *\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{0D452EE1-E08F-101A-852E-02608C4D0BB4}#2.0#0#C:\WINDOWS\SYSTEM\FM20.DLL#Microsoft Forms 2.0 Object Library*\G{1CED4351-1570-4D58-8F64-020CD3FC1E53}#2.0#0#C:\DOCUME~1\harris_d\LOCALS~1\Temp\Excel8.0\MSForms.exd#Microsoft Forms 2.0 Object Library.E .`M   &>   1$REPRESENT FUNCTION363abca2c8$REPRESENT FUNCTION BBBGGG FUNCTION2?3abca2c8,BBBGGG FUNCTIONBBBBGB FUNCTION303abca2c8>BBBBGB FUNCTION0 BGGBGB FUNCTION323abca2c8DBGGBGB FUNCTIONHGGGGGG FUNCTION343abca2c8HGGGGGG FUNCTION`GETNUM FUNCTION0?39f598ffNGETNUM FUNCTIONx7 LOTTERY FUNCTION313abca2c8R LOTTERY FUNCTION5 LOTTLIM FUNCTION353abca2c8\ LOTTLIM FUNCTIONx Module1333abca2c8lModule1ThisWorkbook1=3abca255sThisWorkbook1- Sheet13<3abca2fe Sheet1K Sheet23?3abca495 Sheet2ASheet11293abca28aSheet11- Sheet3353b76ed45 Sheet3]05 Module20>3e26d8e6Module2;H`0`Hx0H:{d" :{d" :{d" :{d" :{d" :{d" :{d" :{d" :{d"  :{d" x'dCx~'dCx豽CxRNLE_ՁCxXCx'Cx'Cx'Cx'Cx'dCxpCx'Cx'Cx'Cx'Cxxry4 bQfRFALSE ATTRIBUTE VB_CREATABLEVB_NAME Excel+ VBAWin16~Win32MacVBA6# BACK2.XLSߗ REPRESENT FUNCTION] _Evaluate (Represent3BoystrailsreppFtkneaXRndRcZd[e\xog^ BBBGGG FUNCTION(BbbgggtrK_jaqhrisjulvm K*m     rU~~~~~~~~~~~~~~~~~~~~~~~~~~~~~!  #CXCf   a a  Aa 9ia Qa ia a A e  e 9   Y   a i!qQ  BACK2.XLSREPRESENT FUNCTIONBBBGGG FUNCTIONBBBBGB FUNCTIONBGGBGB FUNCTIONGGGGGG FUNCTIONGETNUM FUNCTIONLOTTERY FUNCTIONLOTTLIM FUNCTIONModule1F@C:\PROGRAM FILES\COMMON FILES\MICROSOFT SHARED\VBA\VBA6\VBE6.DLLVBA Y 0FF'dCx 3c:\Program Files\Microsoft Office\Office\EXCEL9.OLBExcel y y@0Fc:\windows\SYSTEM\StdOle2.Tlbstdole YP Represent BbbgggBBBBGBBGGBGBGGGGGGgetnumlottlottlim Button4_Click ThisWorkbookVBE6.DLL R 8Q X 6 outcomes had difference =  and Sheet1.E .`M C:\WINDOWS\SYSTEM\FM20.DLLMSForms 9 x[B~cCx $c:\windows\TEMP\Excel8.0\MSForms.exd  9 Sheet2Sheet3Sheet4Sheet5Sheet6Sheet7Sheet8Sheet9Sheet10Sheet11Sheet12Sheet13Sheet14Sheet15Sheet16 F'dCxDF Worksheet{lFWJO ScrollBar2/^IJ=ÏYl| H88'dCx'dCx ScrollBar1 P4@4@'dCx'dCxModule2rrrr A25:DY25FFClearContents A25 =RC+R[-1]CCopyF A25:DX25DestinationTypeAutoFill A1[rU~~~y        Boystrails 14trtltalxeminmax Y  )  ScrollBar2 )  ( ScrollBar1  Macro recorded 5/9/2002 by AMILO?REPRESENT FUNCTIONREPRESENT FUNCTIONBBBGGG FUNCTIONBBBGGG FUNCTIONBBBBGB FUNCTIONBBBBGB FUNCTIONBGGBGB FUNCTIONBGGBGB FUNCTPROJECTwm?PROJECT,SummaryInformation(/DocumentSummaryInformation84IONGGGGGG FUNCTIONGGGGGG FUNCTIONGETNUM FUNCTIONGETNUM FUNCTIONLOTTERY FUNCTIONLOTTERY FUNCTIONLOTTLIM FUNCTIONLOTTLIM FUNCTIONModule1Module1ThisWorkbookThisWorkbookSheet1Sheet1Sheet2Sheet2Sheet11Sheet11Sheet3Sheet3Module2Module2ID="{857F3A97-EF7B-11D3-B964-CC22ED200D16}" Module=REPRESENT FUNCTION Module=BBBGGG FUNCTION Module=BBBBGB FUNCTION Module=BGGBGB FUNCTION Module=GGGGGG FUNCTION Module=GETNUM FUNCTION Module=LOTTERY FUNCTION Module=LOTTLIM FUNCTION Module=Module1 Document=ThisWorkbook/&H00000000 Document=Sheet1/&H00000000 Document=Sheet2/&H00000000 Document=Sheet11/&H00000000 Document=Sheet3/&H00000000 Module=Module2 Name="BACK2.XLS" HelpContextID="0" VersionCompatible32="393222000" CMG="4B49A7AE46B246B246B246B2" DPB="E6E40A4B3E7DD87ED87ED8" GC="81836D6E6E6E6E91" [Host Extender Info] &H00000001={3832D640-CF90-11CF-8E43-00A0C911005A};VBE;&H00000000 &H00000002={00020818-0000-0000-C000-000000000046};Excel8.0;&H00000000 [Workspace] REPRESENT FUNCTION=0, 0, 0, 0, C BBBGGG FUNCTION=0, 0, 0, 0, C BBBBGB FUNCTION=0, 0, 0, 0, C BGGBGB FUNCTION=0, 0, 0, 0, C GGGGGG FUNCTION=0, 0, 0, 0, C GETNUM FUNCTION=0, 0, 0, 0, C LOTTERY FUNCTION=0, 0, 0, 0, C LOTTLIM FUNCTION=0, 0, 441, 356, C Module1=161, 161, 602, 517, C ThisWorkbook=0, 0, 0, 0, C Sheet1=0, 0, 0, 0, C Sheet2=0, 0, 0, 0, C Sheet10=0, 0, 0, 0, C Sheet11=0, 0, 0, 0, C Sheet12=0, 0, 0, 0, C Sheet13=0, 0, 0, 0, C Sheet14=0, 0, 0, 0, C Sheet15=0, 0, 0, 0, C Sheet16=0, 0, 0, 0, C Sheet3=0, 0, 0, 0, C Oh+'0P X`t 0 <H Represent random familiesSchool of EducationRSimulates family of 6 kids, counts number of families with a given number of boysf harris_d faMicrosoft Excel@bܿ@XW ՜.+,0HP X`hp x  A FAMILY OF SIX TREE QuestionFAMILIES OF SIX_AFAMILIES OF SIX_Blottery  Worksheets FMicrosoft Excel WorksheetBiff8Excel.Sheet.89qCompObjf