The tabulated simulation results.
Total games played=10000000, total rounds=259143969,
took 6919 seconds. Games that never needed 15 cards
on the table: 3301418 (33.0 percent of all games).
Games where no cards remain on the table at the end:
151438 (1.5 percent of all games).
Selection mode="First found Set" (1), seed=918631837
In deck | Set | NoSet | Set:NoSet for 12 | Avg # of Sets
--------+--------+-------+------------------+-------------
69 |9677848 |322152 | 30.0:1 | 2.79
66 |9489035 |507335 | 18.7:1 | 2.57
63 |9406550 |587826 | 16.0:1 | 2.48
60 |9376241 |617315 | 15.2:1 | 2.45
57 |9362718 |630536 | 14.8:1 | 2.44
54 |9356925 |636106 | 14.7:1 | 2.43
51 |9353343 |639666 | 14.6:1 | 2.43
48 |9350888 |641915 | 14.6:1 | 2.42
45 |9346579 |646225 | 14.5:1 | 2.42
42 |9344821 |647916 | 14.4:1 | 2.42
39 |9342289 |650375 | 14.4:1 | 2.42
36 |9342459 |650241 | 14.4:1 | 2.41
33 |9341794 |650937 | 14.4:1 | 2.41
30 |9340501 |652215 | 14.3:1 | 2.41
27 |9340421 |652399 | 14.3:1 | 2.41
24 |9339098 |653711 | 14.3:1 | 2.41
21 |9339339 |653363 | 14.3:1 | 2.41
18 |9339310 |653380 | 14.3:1 | 2.41
15 |9339886 |652808 | 14.3:1 | 2.41
12 |9339496 |653204 | 14.3:1 | 2.41
9 |9339001 |653769 | 14.3:1 | 2.41
6 |9338064 |654567 | 14.3:1 | 2.41
3 |9339064 |653540 | 14.3:1 | 2.41
0 |9303672 |689364 | 13.5:1 | 2.41
In deck | Set | NoSet | Set:NoSet for 15 | Avg # of Sets
--------+--------+-------+------------------+-------------
69 | 0 | 0 | oo:1 | -
66 | 318522 | 3630 | 87.7:1 | 3.33
63 | 505341 | 5624 | 89.9:1 | 3.35
60 | 587006 | 6444 | 91.1:1 | 3.36
57 | 617013 | 6746 | 91.5:1 | 3.36
54 | 630313 | 6969 | 90.4:1 | 3.36
51 | 636084 | 6991 | 91.0:1 | 3.36
48 | 639460 | 7197 | 88.9:1 | 3.35
45 | 641916 | 7196 | 89.2:1 | 3.35
42 | 646158 | 7262 | 89.0:1 | 3.35
39 | 647843 | 7334 | 88.3:1 | 3.35
36 | 650411 | 7299 | 89.1:1 | 3.34
33 | 650272 | 7269 | 89.5:1 | 3.35
30 | 650922 | 7284 | 89.4:1 | 3.34
27 | 652319 | 7180 | 90.9:1 | 3.34
24 | 652388 | 7191 | 90.7:1 | 3.34
21 | 653604 | 7298 | 89.6:1 | 3.34
18 | 653351 | 7310 | 89.4:1 | 3.34
15 | 653384 | 7306 | 89.4:1 | 3.35
12 | 652814 | 7300 | 89.4:1 | 3.34
9 | 653274 | 7230 | 90.4:1 | 3.34
6 | 653630 | 7369 | 88.7:1 | 3.34
3 | 654540 | 7395 | 88.5:1 | 3.34
0 | 653972 | 6962 | 93.9:1 | 3.34
In deck | Set | NoSet | Set:NoSet for 18 | Avg # of Sets
--------+--------+-------+------------------+-------------
69 | 0 | 0 | oo:1 | -
66 | 0 | 0 | oo:1 | -
63 | 3630 | 0 | oo:1 | 5.29
60 | 5624 | 0 | oo:1 | 5.33
57 | 6444 | 0 | oo:1 | 5.35
54 | 6746 | 0 | oo:1 | 5.39
51 | 6969 | 0 | oo:1 | 5.37
48 | 6991 | 0 | oo:1 | 5.33
45 | 7197 | 0 | oo:1 | 5.33
42 | 7195 | 1 | 7195.0:1 | 5.32
39 | 7261 | 2 | 3630.5:1 | 5.35
36 | 7335 | 1 | 7335.0:1 | 5.32
33 | 7300 | 0 | oo:1 | 5.33
30 | 7269 | 0 | oo:1 | 5.32
27 | 7284 | 0 | oo:1 | 5.35
24 | 7180 | 0 | oo:1 | 5.35
21 | 7191 | 0 | oo:1 | 5.35
18 | 7298 | 0 | oo:1 | 5.34
15 | 7310 | 0 | oo:1 | 5.34
12 | 7306 | 0 | oo:1 | 5.35
9 | 7300 | 0 | oo:1 | 5.31
6 | 7230 | 0 | oo:1 | 5.36
3 | 7368 | 1 | 7368.0:1 | 5.35
0 | 7394 | 2 | 3697.0:1 | 5.35
In deck | Set | NoSet | Set:NoSet for 21 | Avg # of Sets
--------+--------+-------+------------------+-------------
69 | 0 | 0 | oo:1 | -
66 | 0 | 0 | oo:1 | -
63 | 0 | 0 | oo:1 | -
60 | 0 | 0 | oo:1 | -
57 | 0 | 0 | oo:1 | -
54 | 0 | 0 | oo:1 | -
51 | 0 | 0 | oo:1 | -
48 | 0 | 0 | oo:1 | -
45 | 0 | 0 | oo:1 | -
42 | 0 | 0 | oo:1 | -
39 | 1 | 0 | oo:1 | 10.00
36 | 2 | 0 | oo:1 | 6.50
33 | 1 | 0 | oo:1 | 8.00
30 | 0 | 0 | oo:1 | -
27 | 0 | 0 | oo:1 | -
24 | 0 | 0 | oo:1 | -
21 | 0 | 0 | oo:1 | -
18 | 0 | 0 | oo:1 | -
15 | 0 | 0 | oo:1 | -
12 | 0 | 0 | oo:1 | -
9 | 0 | 0 | oo:1 | -
6 | 0 | 0 | oo:1 | -
3 | 0 | 0 | oo:1 | -
0 | 1 | 0 | oo:1 | 9.00
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