best of two - Excel

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best of two - Excel Powered By Docstoc
					          Spinners 1 & 2
  X1           X2          Y = Max(X1,X2)
                                                                                                   Spinner 1
.205391     .246599           .246599
.890626     .189317           .890626
.336888     .469244           .469244                                   250
.726919     .826861           .826861




                                            Frequency in 10,000 Spins
.128736     .075764           .128736                                   200
.562598     .074706           .562598
.628754     .516799           .628754                                   150
.390556     .984293           .984293
.678540     .001416           .678540                                   100
.517305     .652536           .652536
.887445     .021954           .887445                                    50
.514100     .874255           .874255
.564784     .160335           .564784                                     0
.594565     .105313           .594565                                         .0   .1   .2    .3      .4             .5
.130371     .520516           .520516
.141587     .925606           .925606
.181165     .133112           .181165
.231774     .815772           .815772
.965764     .376553           .965764
.265147     .686466           .686466




                                                                                                           Frequency in 10,000 Spins
.081103     .013818           .081103
.524542     .171500           .524542
.294985     .815254           .815254
.006582     .913322           .913322
.338582     .044545           .338582
.313219     .321333           .321333
.934905     .213323           .934905
.933844     .780951           .933844
.428758     .211070           .428758
.350086     .142407           .350086
.524723     .674430           .674430
.864533     .734226           .864533
.393437     .724705           .724705
.174791     .229843           .229843
.207235     .779710           .779710
.426003     .781644           .781644
.229974     .828665           .828665
.762983     .794184           .794184
.177256     .286653           .286653       Bins                              Freq. A   Freq. B    Freq. Sum
.595481     .146760           .595481       0.00                                179       198           1
.999792     .293119           .999792       0.02                                191       198           9
.322433     .700734           .700734       0.04                                191       233          23
.322847     .289067           .322847       0.06                                194       210          34
.215245     .664207           .664207       0.08                                194       211          37
.563106     .139745           .563106       0.10                                197       207          51
.647717     .989620           .989620       0.12                                214       195          57
.476344   .250802   .476344   0.14   198   202    64
.621797   .049188   .621797   0.16   216   186    66
.034593   .060073   .060073   0.18   176   208    68
.004493   .488179   .488179   0.20   193   203    77
.185968   .980638   .980638   0.22   191   201    94
.688748   .603010   .688748   0.24   207   202    98
.523092   .031112   .523092   0.26   185   204   112
.078231   .864638   .864638   0.28   222   208   132
.210290   .590512   .590512   0.30   186   203   128
.771856   .484119   .771856   0.32   219   203   135
.472837   .909634   .909634   0.34   218   193   147
.068780   .234181   .234181   0.36   202   196   143
.406236   .159689   .406236   0.38   188   190   155
.727509   .858143   .858143   0.40   211   220   161
.678447   .014645   .678447   0.42   202   185   174
.622362   .275577   .622362   0.44   209   183   167
.828892   .552745   .828892   0.46   226   203   208
.449369   .016248   .449369   0.48   186   201   213
.826763   .029979   .826763   0.50   200   206   204
.746528   .448678   .746528   0.52   221   183   220
.411307   .596395   .596395   0.54   203   214   217
.150652   .587577   .587577   0.56   179   197   238
.312579   .806186   .806186   0.58   201   205   230
.976464   .743638   .976464   0.60   208   218   267
.071800   .354267   .354267   0.62   215   191   271
.022963   .732601   .732601   0.64   199   207   263
.070272   .239910   .239910   0.66   213   223   296
.579699   .934759   .934759   0.68   214   188   281
.596093   .037572   .596093   0.70   216   213   296
.673629   .579027   .673629   0.72   201   195   287
.462794   .176919   .462794   0.74   203   180   282
.335596   .384232   .384232   0.76   213   188   313
.421587   .572661   .572661   0.78   176   198   292
.540531   .871816   .871816   0.80   200   205   318
.854190   .079226   .854190   0.82   200   167   298
.899286   .151316   .899286   0.84   188   187   317
.598050   .610388   .610388   0.86   169   203   323
.539214   .063557   .539214   0.88   200   188   334
.674911   .820731   .820731   0.90   186   191   351
.532972   .475003   .532972   0.92   195   241   411
.839587   .931563   .931563   0.94   208   189   377
.516094   .617765   .617765   0.96   186   183   356
.066323   .700854   .700854   0.98   211   197   404
.373666   .630424   .630424   1.00                 0
.139787   .518164   .518164   1.02                 0
.289673   .069626   .289673   1.04                 0
.231864   .158803   .231864   1.06                 0
.679989   .803038   .803038   1.08                 0
.813041   .217583   .813041   1.10                 0
.524644   .861548   .861548   1.12   0
.828915   .858643   .858643   1.14   0
.833154   .898608   .898608   1.16   0
.754015   .416958   .754015   1.18   0
.910900   .721082   .910900   1.20   0
.526201   .193753   .526201   1.22   0
.639843   .968677   .968677   1.24   0
.174632   .009783   .174632   1.26   0
.121454   .585419   .585419   1.28   0
.761430   .813806   .813806   1.30   0
.349863   .017939   .349863   1.32   0
.616186   .354804   .616186   1.34   0
.559627   .940335   .940335   1.36   0
.020750   .697924   .697924   1.38   0
.104173   .580044   .580044   1.40   0
.960490   .272242   .960490   1.42   0
.868858   .717661   .868858   1.44   0
.132165   .267657   .267657   1.46   0
.893514   .958318   .958318   1.48   0
.119004   .931736   .931736   1.50   0
.093478   .804144   .804144   1.52   0
.680162   .210822   .680162   1.54   0
.043318   .344874   .344874   1.56   0
.913102   .162641   .913102   1.58   0
.249194   .119311   .249194   1.60   0
.672539   .068191   .672539   1.62   0
.290106   .522866   .522866   1.64   0
.565794   .723454   .723454   1.66   0
.338507   .481433   .481433   1.68   0
.448218   .078407   .448218   1.70   0
.572038   .796705   .796705   1.72   0
.517853   .742284   .742284   1.74   0
.195756   .531943   .531943   1.76   0
.190542   .862902   .862902   1.78   0
.620340   .808298   .808298   1.80   0
.981466   .550219   .981466   1.82   0
.706722   .441933   .706722   1.84   0
.743801   .211049   .743801   1.86   0
.672419   .279132   .672419   1.88   0
.853804   .376085   .853804   1.90   0
.829854   .305041   .829854   1.92   0
.115551   .051019   .115551   1.94   0
.149003   .856655   .856655   1.96   0
.383511   .680509   .680509   1.98   0
.766169   .841714   .841714   2.00
.908814   .117432   .908814
.069150   .048647   .069150
.656185   .416518   .656185
.777750   .662268   .777750
.811437   .352872   .811437
.945593   .652545   .945593
.670395   .160864   .670395
.533857   .778017   .778017
.852181   .272882   .852181
.139890   .286680   .286680
.818419   .742668   .818419
.087813   .819664   .819664
.027732   .678057   .678057
.522417   .498122   .522417
.603761   .897321   .897321
.490832   .652668   .652668
.876457   .274730   .876457
.150913   .435087   .435087
.437663   .127609   .437663
.599794   .201574   .599794
.887425   .805045   .887425
.180182   .073531   .180182
.108091   .095871   .108091
.854525   .103368   .854525
.623310   .495584   .623310
.946251   .578863   .946251
.101084   .817223   .817223
.088521   .715502   .715502
.508565   .624267   .624267
.334654   .446070   .446070
.980942   .401942   .980942
.944022   .135516   .944022
.101011   .804264   .804264
.806098   .674881   .806098
.344790   .477498   .477498
.537624   .119364   .537624
.244524   .552523   .552523
.714941   .836267   .836267
.394867   .753842   .753842
.499939   .267167   .499939
.128179   .836057   .836057
.971847   .558598   .971847
.991575   .204670   .991575
.875456   .320704   .875456
.559087   .159366   .559087
.611996   .832538   .832538
.586217   .587455   .587455
.384825   .011184   .384825
.522488   .186114   .522488
.554120   .373778   .554120
.194433   .682741   .682741
.569671   .589521   .589521
.003151   .773303   .773303
.417932   .943069   .943069
.098708   .034857   .098708
.519162   .107301   .519162
.370040   .172600   .370040
.614556   .066776   .614556
.076250   .854315   .854315
.037984   .572882   .572882
.096407   .611891   .611891
.961212   .272644   .961212
.820571   .932562   .932562
.493680   .680054   .680054
.905972   .552037   .905972
.774809   .780160   .780160
.681159   .033255   .681159
.343524   .793079   .793079
.520774   .848782   .848782
.672059   .566826   .672059
.536718   .114996   .536718
.062793   .514513   .514513
.109835   .495048   .495048
.693263   .159299   .693263
.158219   .660296   .660296
.134828   .475189   .475189
.319842   .590550   .590550
.811358   .678340   .811358
.360777   .529768   .529768
.290629   .053034   .290629
.524967   .130665   .524967
.324287   .297480   .324287
.090540   .296549   .296549
.757021   .506331   .757021
.107304   .844091   .844091
.032145   .554693   .554693
.447114   .965268   .965268
.838304   .010192   .838304
.891450   .628083   .891450
.244663   .565840   .565840
.571501   .675410   .675410
.801581   .043757   .801581
.243513   .337753   .337753
.982509   .887426   .982509
.362601   .074351   .362601
.376788   .100126   .376788
.928932   .921735   .928932
.241756   .684166   .684166
.553642   .425419   .553642
.124026   .514756   .514756
.049729   .271176   .271176
.357906   .330908   .357906
.992951   .662234   .992951
.630214   .335509   .630214
.308860   .804232   .804232
.063566   .874624   .874624
.176412   .568990   .568990
.925242   .404642   .925242
.464697   .200635   .464697
.755107   .121003   .755107
.205082   .574558   .574558
.777333   .799834   .799834
.419649   .682417   .682417
.844469   .861730   .861730
.490420   .486156   .490420
.024179   .628158   .628158
.463489   .502519   .502519
.194205   .521502   .521502
.252284   .913902   .913902
.497061   .690820   .690820
.941217   .537575   .941217
.113998   .310531   .310531
.589409   .205373   .589409
.708066   .705633   .708066
.689019   .104808   .689019
.457578   .185970   .457578
.281311   .231458   .281311
.442048   .906312   .906312
.215353   .622338   .622338
.212336   .902482   .902482
.123234   .481421   .481421
.960613   .752057   .960613
.566381   .694931   .694931
.701436   .381150   .701436
.361025   .858781   .858781
.425772   .593728   .593728
.565642   .247846   .565642
.696546   .529766   .696546
.977586   .738588   .977586
.358111   .432297   .432297
.198346   .482811   .482811
.262630   .824434   .824434
.332818   .718746   .718746
.950369   .705058   .950369
.374211   .031673   .374211
.617215   .836522   .836522
.036595   .309508   .309508
.095266   .675823   .675823
.122855   .820182   .820182
.328446   .918260   .918260
.305740   .883941   .883941
.135531   .665115   .665115
.888051   .935364   .935364
.124150   .233880   .233880
.183852   .772952   .772952
.420461   .246988   .420461
.823293   .045204   .823293
.088723   .887224   .887224
.410613   .280709   .410613
.700350   .148587   .700350
.099096   .584871   .584871
.517993   .285654   .517993
.637815   .226489   .637815
.111145   .109935   .111145
.320521   .206445   .320521
.961051   .487227   .961051
.156427   .924527   .924527
.736312   .814954   .814954
.841638   .333258   .841638
.246706   .276422   .276422
.348220   .651383   .651383
.653718   .901822   .901822
.704700   .969101   .969101
.575316   .714198   .714198
.741999   .823872   .823872
.528288   .994340   .994340
.475285   .531265   .531265
.864863   .039562   .864863
.993644   .882070   .993644
.180266   .967346   .967346
.137288   .934535   .934535
.969731   .962697   .969731
.162587   .065089   .162587
.265421   .986044   .986044
.906962   .203625   .906962
.038571   .449755   .449755
.449011   .325393   .449011
.937750   .142515   .937750
.046785   .106616   .106616
.660927   .768446   .768446
.705933   .722065   .722065
.833839   .169943   .833839
.032024   .168429   .168429
.955272   .438567   .955272
.652395   .175975   .652395
.370814   .196519   .370814
.413670   .468525   .468525
.498343   .782081   .782081
.237041   .354379   .354379
.657756   .296610   .657756
.758592   .860348   .860348
.149300   .775192   .775192
.655464   .735776   .735776
.125980   .875517   .875517
.642751   .757908   .757908
.334927   .364749   .364749
.754013   .590205   .754013
.599221   .212795   .599221
.110836   .320657   .320657
.149552   .761546   .761546
.790310   .750610   .790310
.962948   .205423   .962948
.413699   .102889   .413699
.211725   .375154   .375154
.955072   .521418   .955072
.905150   .681801   .905150
.726657   .810911   .810911
.735869   .883508   .883508
.480873   .297589   .480873
.080590   .164935   .164935
.307179   .201887   .307179
.382134   .279772   .382134
.504189   .625903   .625903
.568721   .252889   .568721
.420674   .698748   .698748
.246622   .010550   .246622
.959641   .398582   .959641
.963233   .598206   .963233
.596455   .785631   .785631
.819563   .617762   .819563
.396990   .163537   .396990
.149980   .620370   .620370
.763640   .766929   .766929
.125918   .750802   .750802
.374256   .316985   .374256
.235945   .885988   .885988
.267049   .137079   .267049
.874251   .593771   .874251
.072350   .662525   .662525
.454217   .667659   .667659
.943469   .403711   .943469
.466088   .594230   .594230
.114671   .338602   .338602
.862910   .018302   .862910
.644497   .746893   .746893
.122353   .777285   .777285
.489952   .579265   .579265
.531156   .401721   .531156
.955968   .154114   .955968
.993249   .041477   .993249
.371351   .040054   .371351
.884363   .736508   .884363
.475723   .980181   .980181
.666400   .270865   .666400
.530331   .985829   .985829
.772972   .076928   .772972
.344320   .064273   .344320
.388386   .078986   .388386
.557443   .382172   .557443
.470866   .179066   .470866
.883091   .436655   .883091
.702584   .471295   .702584
.789162   .938690   .938690
.525776   .909835   .909835
.703715   .673066   .703715
.759683   .295584   .759683
.892462   .354670   .892462
.912162   .791569   .912162
.222957   .032287   .222957
.537827   .335718   .537827
.117394   .812502   .812502
.714914   .432059   .714914
.856382   .642280   .856382
.903505   .855145   .903505
.234304   .090102   .234304
.094329   .027757   .094329
.487032   .257412   .487032
.328275   .037359   .328275
.379296   .248738   .379296
.043015   .781203   .781203
.982218   .703718   .982218
.726652   .452723   .726652
.916412   .422153   .916412
.270061   .674937   .674937
.805371   .819297   .819297
.400303   .648888   .648888
.505551   .215583   .505551
.548688   .922460   .922460
.227024   .881054   .881054
.122876   .367841   .367841
.711193   .232943   .711193
.600219   .528402   .600219
.711727   .396124   .711727
.077596   .043520   .077596
.813561   .903009   .903009
.092751   .821577   .821577
.587076   .455917   .587076
.366288   .025869   .366288
.271733   .660360   .660360
.757590   .973796   .973796
.121902   .689763   .689763
.941694   .380438   .941694
.047583   .740113   .740113
.468470   .208828   .468470
.299127   .195635   .299127
.887849   .556643   .887849
.237331   .017350   .237331
.524313   .437097   .524313
.115217   .549128   .549128
.016710   .277242   .277242
.522650   .131795   .522650
.716322   .398533   .716322
.586610   .632527   .632527
.731707   .881049   .881049
.226862   .512484   .512484
.380018   .817869   .817869
.186235   .296328   .296328
.263118   .446558   .446558
.401914   .028288   .401914
.675052   .045000   .675052
.585999   .997649   .997649
.364639   .899578   .899578
.495029   .692436   .692436
.928075   .442566   .928075
.868578   .257299   .868578
.221120   .373956   .373956
.313050   .122854   .313050
.707796   .234190   .707796
.882599   .919907   .919907
.795105   .437876   .795105
.997879   .433099   .997879
.984841   .582893   .984841
.295650   .330703   .330703
.810346   .295228   .810346
.622511   .438593   .622511
.771748   .246101   .771748
.917148   .572283   .917148
.652835   .549929   .652835
.801592   .882871   .882871
.182037   .131808   .182037
.058262   .740717   .740717
.934824   .543347   .934824
.771666   .006844   .771666
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.467553   .407594   .467553
.200898   .935823   .935823
.498871   .947792   .947792
.761650   .994892   .994892
.164689   .530457   .530457
.468195   .750847   .750847
.157666   .399910   .399910
.037851   .090639   .090639
.509613   .274041   .509613
.667088   .189654   .667088
.470558   .913805   .913805
.503540   .836039   .836039
.287398   .554728   .554728
.725049   .176017   .725049
.594473   .790836   .790836
.198259   .828732   .828732
.427992   .703079   .703079
.449963   .902006   .902006
.131294   .246128   .246128
.418362   .470178   .470178
.569678   .202821   .569678
.113182   .828896   .828896
.328728   .500912   .500912
.606294   .062009   .606294
.669407   .879502   .879502
.036178   .262194   .262194
.471367   .496181   .496181
.900090   .237691   .900090
.264262   .787105   .787105
.833113   .463368   .833113
.965188   .088298   .965188
.547134   .840424   .840424
.358521   .762518   .762518
.098660   .026540   .098660
.044004   .858453   .858453
.443788   .172084   .443788
.456411   .814559   .814559
.236554   .316056   .316056
.804906   .906270   .906270
.269208   .996477   .996477
.040587   .198170   .198170
.947130   .227709   .947130
.407287   .233897   .407287
.032506   .737236   .737236
.879724   .630410   .879724
.041203   .414509   .414509
.600676   .213570   .600676
.241101   .394237   .394237
.370409   .936944   .936944
.997153   .192381   .997153
.516186   .014370   .516186
.680482   .518028   .680482
.770523   .797372   .797372
.542916   .848984   .848984
.063903   .780770   .780770
.235958   .771040   .771040
.124159   .696444   .696444
.733912   .196240   .733912
.905110   .224181   .905110
.104480   .665835   .665835
.845356   .340738   .845356
.547137   .986367   .986367
.280047   .036251   .280047
.249128   .596941   .596941
.505160   .927209   .927209
.225738   .762894   .762894
.683985   .818132   .818132
.830942   .423549   .830942
.782996   .327495   .782996
.918825   .214236   .918825
.971959   .594693   .971959
.713914   .294818   .713914
.460271   .179931   .460271
.234403   .343211   .343211
.087177   .877919   .877919
.553374   .998220   .998220
.537049   .470009   .537049
.958301   .424359   .958301
.715385   .338871   .715385
.015348   .293271   .293271
.694934   .320335   .694934
.828520   .830632   .830632
.960318   .552723   .960318
.558633   .549383   .558633
.187620   .659302   .659302
.354125   .631027   .631027
.963104   .530026   .963104
.530160   .070712   .530160
.536390   .378303   .536390
.068718   .038397   .068718
.771886   .464725   .771886
.688488   .794404   .794404
.902940   .889015   .902940
.320017   .517544   .517544
.457294   .060158   .457294
.015756   .915213   .915213
.771787   .493092   .771787
.286854   .117977   .286854
.311137   .012211   .311137
.506414   .626402   .626402
.214242   .571225   .571225
.710597   .226008   .710597
.709186   .951871   .951871
.689564   .401888   .689564
.247336   .681024   .681024
.441749   .671445   .671445
.210328   .374293   .374293
.491349   .908264   .908264
.946837   .380382   .946837
.504915   .947110   .947110
.608149   .353275   .608149
.306847   .180121   .306847
.765596   .516718   .765596
.442686   .185053   .442686
.177757   .045616   .177757
.959763   .739805   .959763
.318042   .443067   .443067
.783986   .528450   .783986
.281047   .416923   .416923
.070292   .643825   .643825
.380301   .853124   .853124
.331642   .927648   .927648
.818308   .438753   .818308
.816275   .771584   .816275
.211211   .079884   .211211
.039244   .965085   .965085
.497553   .638309   .638309
.377438   .079378   .377438
.994241   .730246   .994241
.130047   .505109   .505109
.054845   .345681   .345681
.025121   .072979   .072979
.947688   .831474   .947688
.988565   .180752   .988565
.372826   .864126   .864126
.405053   .326379   .405053
.407683   .790987   .790987
.264195   .811152   .811152
.149345   .568323   .568323
.144012   .237333   .237333
.566740   .791437   .791437
.470701   .045108   .470701
.238532   .806705   .806705
.049205   .103238   .103238
.486818   .422272   .486818
.296403   .280281   .296403
.121862   .596762   .596762
.664293   .738838   .738838
.940301   .081529   .940301
.383316   .690290   .690290
.271145   .163554   .271145
.950926   .026360   .950926
.846448   .042138   .846448
.641435   .529347   .641435
.454839   .617924   .617924
.827657   .044349   .827657
.276938   .646188   .646188
.675406   .797084   .797084
.196193   .709388   .709388
.600750   .013352   .600750
.519069   .726572   .726572
.538814   .514509   .538814
.574515   .731098   .731098
.733634   .343338   .733634
.623678   .993598   .993598
.011516   .123927   .123927
.787901   .098255   .787901
.453331   .953628   .953628
.051193   .486211   .486211
.562970   .065589   .562970
.122268   .335680   .335680
.545757   .458358   .545757
.711332   .339322   .711332
.896521   .783304   .896521
.548110   .307028   .548110
.877127   .290313   .877127
.678274   .845427   .845427
.136097   .505266   .505266
.414964   .819086   .819086
.708246   .997559   .997559
.157366   .942142   .942142
.611960   .006282   .611960
.163373   .346819   .346819
.266162   .993225   .993225
.875289   .593413   .875289
.874827   .672713   .874827
.042627   .064276   .064276
.993789   .586693   .993789
.596080   .087623   .596080
.880736   .196710   .880736
.935125   .559985   .935125
.391799   .077694   .391799
.789143   .417339   .789143
.365913   .549274   .549274
.778969   .109868   .778969
.520957   .445135   .520957
.884274   .014979   .884274
.517594   .776469   .776469
.561477   .720437   .720437
.775305   .794277   .794277
.092847   .222108   .222108
.794238   .180901   .794238
.886339   .186441   .886339
.950532   .473107   .950532
.118096   .082856   .118096
Spinner 1                                                                                             Spinner 2

                                                                            250




                                                Frequency in 10,000 Spins
                                                                            200


                                                                            150


                                                                            100


                                                                            50


                                                                             0
        .5         .6    .7    .8    .9                                           .0   .1   .2   .3      .4   .5   .6   .7   .8   .9


                                            Y

             450
             400
             350
             300
             250
             200
             150
             100
             50
              0
                    .0    .1    .2    .3   .4                       .5            .6   .7   .8   .9