Workshop Archive
Posted By: MathProf <MathProf21@aol.com> In Response To: Cut Card Data at various penetrations (MathProf)
Date: Sunday, 12 March 2000, at 7:16 a.m.
******************** Summary ********************
For Num Decks = 1 Dealt to 13 Cards
Rnds Number AveTc SE
1.0 1345804.0 0.0000 0.00000
2.0 1345804.0 -0.0024* 0.00191
3.0 1345804.0 -0.0022* 0.00288
4.0 1345803.0 -0.0000* 0.00380
5.0 1345803.0 -0.0002* 0.00478
6.0 1345726.0 0.0007* 0.00594
7.0 1323461.0 -0.1360 0.00742
8.0 596495.0 -3.7280 0.01208
9.0 5300.0 -15.3643 0.12059
Min Rounds = 3 Max = 9 Ave = 7.43050Ave TC = -0.249 SE = 0.00176
Above finished at Sunday, March 12, 2000 at 00:38:17 Eastern Standard Time
Shuffle Point was 13
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 14 Cards
Rnds Number AveTc SE
1.0 1380789.0 0.0000 0.00000
2.0 1380789.0 -0.0025* 0.00188
3.0 1380789.0 -0.0021* 0.00285
4.0 1380789.0 0.0004* 0.00375
5.0 1380789.0 0.0006* 0.00472
6.0 1380569.0 0.0003* 0.00587
7.0 1326810.0 -0.2916 0.00732
8.0 387578.0 -5.1680 0.01413
9.0 1098.0 -18.0313 0.25080
Min Rounds = 5 Max = 9 Ave = 7.24224Ave TC = -0.241 SE = 0.00171
Above finished at Sunday, March 12, 2000 at 00:39:53 Eastern Standard Time
Shuffle Point was 14
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 15 Cards
Rnds Number AveTc SE
1.0 1415344.0 0.0000 0.00000
2.0 1415344.0 -0.0024* 0.00186
3.0 1415344.0 -0.0021* 0.00281
4.0 1415343.0 0.0000* 0.00370
5.0 1415342.0 -0.0003* 0.00466
6.0 1414716.0 -0.0036* 0.00579
7.0 1294784.0 -0.5793 0.00727
8.0 213607.0 -6.8495 0.01787
9.0 176.0 -19.7660 0.52593
Min Rounds = 3 Max = 9 Ave = 7.06542Ave TC = -0.223 SE = 0.00166
Above finished at Sunday, March 12, 2000 at 00:41:30 Eastern Standard Time
Shuffle Point was 15
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 16 Cards
Rnds Number AveTc SE
1.0 1449730.0 0.0000 0.00000
2.0 1449730.0 -0.0024* 0.00184
3.0 1449730.0 -0.0022* 0.00278
4.0 1449729.0 0.0001* 0.00366
5.0 1449725.0 -0.0004* 0.00461
6.0 1448050.0 -0.0088* 0.00572
7.0 1205814.0 -1.0509 0.00733
8.0 97474.0 -8.7525 0.02474
9.0 18.0 -22.1009 1.20699
Min Rounds = 3 Max = 9 Ave = 6.89784Ave TC = -0.214 SE = 0.00160
Above finished at Sunday, March 12, 2000 at 00:43:11 Eastern Standard Time
Shuffle Point was 16
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 17 Cards
Rnds Number AveTc SE
1.0 1486708.0 0.0000 0.00000
2.0 1486708.0 -0.0022* 0.00182
3.0 1486708.0 -0.0019* 0.00274
4.0 1486708.0 0.0002* 0.00361
5.0 1486693.0 -0.0006* 0.00455
6.0 1482209.0 -0.0236 0.00565
7.0 1048359.0 -1.7536 0.00757
8.0 35905.0 -10.7873 0.03815
9.0 2.0 -24.5556 1.44444
Min Rounds = 4 Max = 9 Ave = 6.72627Ave TC = -0.227 SE = 0.00155
Above finished at Sunday, March 12, 2000 at 00:44:48 Eastern Standard Time
Shuffle Point was 17
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 18 Cards
Rnds Number AveTc SE
1.0 1529051.0 0.0000 0.00000
2.0 1529051.0 -0.0024* 0.00179
3.0 1529050.0 -0.0022* 0.00270
4.0 1529050.0 0.0007* 0.00356
5.0 1529011.0 0.0001* 0.00448
6.0 1517040.0 -0.0582 0.00556
7.0 827568.0 -2.7093 0.00813
8.0 10179.0 -12.9661 0.06704
Min Rounds = 2 Max = 8 Ave = 6.54000Ave TC = -0.247 SE = 0.00150
Above finished at Sunday, March 12, 2000 at 00:46:26 Eastern Standard Time
Shuffle Point was 18
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 19 Cards
Rnds Number AveTc SE
1.0 1575679.0 0.0000 0.00000
2.0 1575679.0 -0.0020* 0.00176
3.0 1575678.0 -0.0019* 0.00266
4.0 1575678.0 0.0004* 0.00351
5.0 1575567.0 -0.0001* 0.00442
6.0 1544406.0 -0.1358 0.00547
7.0 575129.0 -3.9095 0.00923
8.0 2184.0 -15.1712 0.13840
Min Rounds = 2 Max = 8 Ave = 6.34647Ave TC = -0.250 SE = 0.00146
Above finished at Sunday, March 12, 2000 at 00:48:05 Eastern Standard Time
Shuffle Point was 19
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 20 Cards
Rnds Number AveTc SE
1.0 1622946.0 0.0000 0.00000
2.0 1622946.0 -0.0020* 0.00174
3.0 1622946.0 -0.0022* 0.00262
4.0 1622946.0 -0.0003* 0.00346
5.0 1622652.0 -0.0015* 0.00435
6.0 1545826.0 -0.3006 0.00539
7.0 339443.0 -5.3575 0.01128
8.0 295.0 -17.6679 0.33381
Min Rounds = 4 Max = 8 Ave = 6.16163Ave TC = -0.230 SE = 0.00142
Above finished at Sunday, March 12, 2000 at 00:49:44 Eastern Standard Time
Shuffle Point was 20
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 21 Cards
Rnds Number AveTc SE
1.0 1668633.0 0.0000 0.00000
2.0 1668633.0 -0.0019* 0.00171
3.0 1668633.0 -0.0016* 0.00259
4.0 1668631.0 0.0006* 0.00341
5.0 1667847.0 -0.0025* 0.00429
6.0 1493353.0 -0.6066 0.00536
7.0 164236.0 -7.0188 0.01517
8.0 34.0 -19.5348 0.78138
Min Rounds = 3 Max = 8 Ave = 5.99293Ave TC = -0.207 SE = 0.00137
Above finished at Sunday, March 12, 2000 at 00:51:24 Eastern Standard Time
Shuffle Point was 21
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 22 Cards
Rnds Number AveTc SE
1.0 1715370.0 0.0000 0.00000
2.0 1715370.0 -0.0015* 0.00169
3.0 1715370.0 -0.0009* 0.00255
4.0 1715366.0 0.0013* 0.00336
5.0 1713313.0 -0.0069* 0.00423
6.0 1362202.0 -1.1093 0.00542
7.0 63009.0 -8.8225 0.02298
Min Rounds = 3 Max = 7 Ave = 5.82965Ave TC = -0.208 SE = 0.00133
Above finished at Sunday, March 12, 2000 at 00:53:04 Eastern Standard Time
Shuffle Point was 22
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 23 Cards
Rnds Number AveTc SE
1.0 1769457.0 0.0000 0.00000
2.0 1769457.0 -0.0015* 0.00166
3.0 1769457.0 -0.0007* 0.00251
4.0 1769444.0 0.0017* 0.00331
5.0 1763883.0 -0.0196 0.00416
6.0 1140230.0 -1.8473 0.00566
7.0 18072.0 -10.8070 0.03994
Min Rounds = 3 Max = 7 Ave = 5.65145Ave TC = -0.234 SE = 0.00128
Above finished at Sunday, March 12, 2000 at 00:54:42 Eastern Standard Time
Shuffle Point was 23
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 24 Cards
Rnds Number AveTc SE
1.0 1833094.0 0.0000 0.00000
2.0 1833094.0 -0.0017* 0.00164
3.0 1833094.0 -0.0009* 0.00247
4.0 1833042.0 0.0011* 0.00325
5.0 1817617.0 -0.0530 0.00408
6.0 846296.0 -2.8430 0.00621
7.0 3763.0 -12.9709 0.08136
Min Rounds = 3 Max = 7 Ave = 5.45526Ave TC = -0.255 SE = 0.00124
Above finished at Sunday, March 12, 2000 at 00:56:21 Eastern Standard Time
Shuffle Point was 24
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 25 Cards
Rnds Number AveTc SE
1.0 1901619.0 0.0000 0.00000
2.0 1901618.0 -0.0018* 0.00161
3.0 1901618.0 -0.0013* 0.00242
4.0 1901491.0 0.0007* 0.00319
5.0 1859393.0 -0.1294 0.00400
6.0 533760.0 -4.0813 0.00733
7.0 501.0 -15.1442 0.20590
Min Rounds = 1 Max = 7 Ave = 5.25868Ave TC = -0.243 SE = 0.00121
Above finished at Sunday, March 12, 2000 at 00:58:01 Eastern Standard Time
Shuffle Point was 25
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 26 Cards
Rnds Number AveTc SE
1.0 1967318.0 0.0000 0.00000
2.0 1967318.0 -0.0015* 0.00158
3.0 1967318.0 -0.0012* 0.00238
4.0 1966993.0 0.0001* 0.00314
5.0 1857958.0 -0.2982 0.00393
6.0 273066.0 -5.5545 0.00956
7.0 29.0 -16.6408 0.89629
Min Rounds = 3 Max = 7 Ave = 5.08306Ave TC = -0.208 SE = 0.00118
Above finished at Sunday, March 12, 2000 at 00:59:42 Eastern Standard Time
Shuffle Point was 26
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 27 Cards
Rnds Number AveTc SE
1.0 2029684.0 0.0000 0.00000
2.0 2029684.0 -0.0009* 0.00155
3.0 2029683.0 -0.0007* 0.00235
4.0 2028863.0 -0.0011* 0.00309
5.0 1774223.0 -0.6188 0.00390
6.0 107862.0 -7.2268 0.01416
7.0 1.0 -22.2857 0.00000
Min Rounds = 2 Max = 7 Ave = 4.92688Ave TC = -0.188 SE = 0.00113
Above finished at Sunday, March 12, 2000 at 01:01:23 Eastern Standard Time
Shuffle Point was 27
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 28 Cards
Rnds Number AveTc SE
1.0 2098963.0 0.0000 0.00000
2.0 2098963.0 -0.0008* 0.00153
3.0 2098958.0 -0.0007* 0.00231
4.0 2096722.0 -0.0054* 0.00304
5.0 1575476.0 -1.1469 0.00397
6.0 30918.0 -9.0919 0.02455
Min Rounds = 2 Max = 6 Ave = 4.76426Ave TC = -0.210 SE = 0.00109
Above finished at Sunday, March 12, 2000 at 01:03:05 Eastern Standard Time
Shuffle Point was 28
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 29 Cards
Rnds Number AveTc SE
1.0 2186903.0 0.0000 0.00000
2.0 2186902.0 -0.0007* 0.00150
3.0 2186889.0 -0.0011* 0.00226
4.0 2180610.0 -0.0158 0.00297
5.0 1252838.0 -1.9314 0.00419
6.0 5858.0 -11.1440 0.05232
Min Rounds = 1 Max = 6 Ave = 4.57268Ave TC = -0.252 SE = 0.00105
Above finished at Sunday, March 12, 2000 at 01:04:47 Eastern Standard Time
Shuffle Point was 29
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 30 Cards
Rnds Number AveTc SE
1.0 2292095.0 0.0000 0.00000
2.0 2292095.0 -0.0013* 0.00146
3.0 2292057.0 -0.0015* 0.00221
4.0 2273745.0 -0.0430 0.00290
5.0 849408.0 -2.9757 0.00475
6.0 600.0 -13.3906 0.15242
Min Rounds = 2 Max = 6 Ave = 4.36282Ave TC = -0.264 SE = 0.00102
Above finished at Sunday, March 12, 2000 at 01:06:31 Eastern Standard Time
Shuffle Point was 30
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 31 Cards
Rnds Number AveTc SE
1.0 2398856.0 0.0000 0.00000
2.0 2398856.0 -0.0012* 0.00143
3.0 2398743.0 -0.0018* 0.00216
4.0 2344290.0 -0.1111 0.00282
5.0 459219.0 -4.2814 0.00597
6.0 36.0 -16.4757 0.56497
Min Rounds = 2 Max = 6 Ave = 4.16865Ave TC = -0.223 SE = 0.00099
Above finished at Sunday, March 12, 2000 at 01:08:16 Eastern Standard Time
Shuffle Point was 31
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 32 Cards
Rnds Number AveTc SE
1.0 2492359.0 0.0000 0.00000
2.0 2492358.0 -0.0012* 0.00140
3.0 2492061.0 -0.0025* 0.00212
4.0 2338916.0 -0.2735 0.00277
5.0 184306.0 -5.8315 0.00862
Min Rounds = 1 Max = 5 Ave = 4.01226Ave TC = -0.172 SE = 0.00095
Above finished at Sunday, March 12, 2000 at 01:10:02 Eastern Standard Time
Shuffle Point was 32
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 33 Cards
Rnds Number AveTc SE
1.0 2582806.0 0.0000 0.00000
2.0 2582803.0 -0.0012* 0.00138
3.0 2582038.0 -0.0038* 0.00208
4.0 2202390.0 -0.5981 0.00274
5.0 49963.0 -7.5733 0.01523
Min Rounds = 1 Max = 5 Ave = 3.87176Ave TC = -0.171 SE = 0.00090
Above finished at Sunday, March 12, 2000 at 01:11:49 Eastern Standard Time
Shuffle Point was 33
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 34 Cards
Rnds Number AveTc SE
1.0 2702112.0 0.0000 0.00000
2.0 2702107.0 -0.0007* 0.00135
3.0 2700083.0 -0.0054 0.00203
4.0 1887845.0 -1.1577 0.00279
5.0 7853.0 -9.5574 0.03543
Min Rounds = 1 Max = 5 Ave = 3.70081Ave TC = -0.228 SE = 0.00086
Above finished at Sunday, March 12, 2000 at 01:13:37 Eastern Standard Time
Shuffle Point was 34
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 35 Cards
Rnds Number AveTc SE
1.0 2871681.0 0.0000 0.00000
2.0 2871674.0 -0.0004* 0.00131
3.0 2865771.0 -0.0112 0.00197
4.0 1390311.0 -2.0000 0.00300
5.0 563.0 -11.7172 0.12496
Min Rounds = 1 Max = 5 Ave = 3.48228Ave TC = -0.282 SE = 0.00083
Above finished at Sunday, March 12, 2000 at 01:15:27 Eastern Standard Time
Shuffle Point was 35
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 36 Cards
Rnds Number AveTc SE
1.0 3071728.0 0.0000 0.00000
2.0 3071703.0 -0.0004* 0.00126
3.0 3052711.0 -0.0276 0.00190
4.0 803858.0 -3.1476 0.00358
Min Rounds = 1 Max = 4 Ave = 3.25550Ave TC = -0.262 SE = 0.00080
Above finished at Sunday, March 12, 2000 at 01:17:19 Eastern Standard Time
Shuffle Point was 36
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 37 Cards
Rnds Number AveTc SE
1.0 3246794.0 0.0000 0.00000
2.0 3246721.0 -0.0010* 0.00123
3.0 3182620.0 -0.0782 0.00184
4.0 323865.0 -4.5724 0.00507
Min Rounds = 1 Max = 4 Ave = 3.07996Ave TC = -0.173 SE = 0.00077
Above finished at Sunday, March 12, 2000 at 01:19:13 Eastern Standard Time
Shuffle Point was 37
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 38 Cards
Rnds Number AveTc SE
1.0 3376835.0 0.0000 0.00000
2.0 3376633.0 -0.0012* 0.00120
3.0 3169831.0 -0.2148 0.00179
4.0 76701.0 -6.2722 0.00931
Min Rounds = 1 Max = 4 Ave = 2.96135Ave TC = -0.117 SE = 0.00072
Above finished at Sunday, March 12, 2000 at 01:21:08 Eastern Standard Time
Shuffle Point was 38
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 39 Cards
Rnds Number AveTc SE
1.0 3527114.0 0.0000 0.00000
2.0 3526596.0 -0.0010* 0.00118
3.0 2938812.0 -0.5303 0.00177
4.0 7478.0 -8.2330 0.02668
Min Rounds = 1 Max = 4 Ave = 2.83518Ave TC = -0.162 SE = 0.00067
Above finished at Sunday, March 12, 2000 at 01:23:04 Eastern Standard Time
Shuffle Point was 39
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 40 Cards
Rnds Number AveTc SE
1.0 3801666.0 0.0000 0.00000
2.0 3800207.0 -0.0015* 0.00114
3.0 2398127.0 -1.1312 0.00179
Min Rounds = 1 Max = 3 Ave = 2.63043Ave TC = -0.272 SE = 0.00063
Above finished at Sunday, March 12, 2000 at 01:25:04 Eastern Standard Time
Shuffle Point was 40
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 41 Cards
Rnds Number AveTc SE
1.0 4238773.0 0.0000 0.00000
2.0 4234530.0 -0.0039 0.00107
3.0 1526697.0 -2.0929 0.00197
Min Rounds = 1 Max = 3 Ave = 2.35917Ave TC = -0.321 SE = 0.00059
Above finished at Sunday, March 12, 2000 at 01:27:08 Eastern Standard Time
Shuffle Point was 41
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 42 Cards
Rnds Number AveTc SE
1.0 4702870.0 0.0000 0.00000
2.0 4689035.0 -0.0093 0.00102
3.0 608095.0 -3.4398 0.00267
Min Rounds = 1 Max = 3 Ave = 2.12636Ave TC = -0.214 SE = 0.00057
Above finished at Sunday, March 12, 2000 at 01:29:16 Eastern Standard Time
Shuffle Point was 42
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 43 Cards
Rnds Number AveTc SE
1.0 4976760.0 0.0000 0.00000
2.0 4923371.0 -0.0285 0.00099
3.0 99869.0 -5.1963 0.00548
Min Rounds = 1 Max = 3 Ave = 2.00934Ave TC = -0.066 SE = 0.00052
Above finished at Sunday, March 12, 2000 at 01:31:28 Eastern Standard Time
Shuffle Point was 43
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 44 Cards
Rnds Number AveTc SE
1.0 5116053.0 0.0000 0.00000
2.0 4883947.0 -0.1067 0.00096
Min Rounds = 1 Max = 2 Ave = 1.95463Ave TC = -0.052 SE = 0.00047
Above finished at Sunday, March 12, 2000 at 01:33:40 Eastern Standard Time
Shuffle Point was 44
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 45 Cards
Rnds Number AveTc SE
1.0 5471745.0 0.0000 0.00000
2.0 4528255.0 -0.3742 0.00092
Min Rounds = 1 Max = 2 Ave = 1.82757Ave TC = -0.169 SE = 0.00042
Above finished at Sunday, March 12, 2000 at 01:35:57 Eastern Standard Time
Shuffle Point was 45
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 46 Cards
Rnds Number AveTc SE
1.0 6570900.0 0.0000 0.00000
2.0 3429100.0 -1.0652 0.00088
Min Rounds = 1 Max = 2 Ave = 1.52186Ave TC = -0.365 SE = 0.00034
Above finished at Sunday, March 12, 2000 at 01:38:24 Eastern Standard Time
Shuffle Point was 46
==================================================******************** Summary ********************
For Num Decks = 1 Dealt to 47 Cards
Rnds Number AveTc SE
1.0 8672926.0 0.0000 0.00000
2.0 1327074.0 -2.4499 0.00099
Min Rounds = 1 Max = 2 Ave = 1.15301Ave TC = -0.325 SE = 0.00029
Above finished at Sunday, March 12, 2000 at 01:41:13 Eastern Standard Time
Shuffle Point was 47
==================================================The explanation of this data is given in the post above.