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outcome-tables

Calculate outcome tables for games

Yu-Gi-Oh! Master Duel

There is a slight disparity between the numbers of a certain rarity (SR/UR) in given secret or Selection pack, so keep in mind the slight differences in calculations for a given pack.

Number of 10 pack pulls before finding 1st copy 2nd 3rd
Selection any SR 1
1 - 1 ... 1 - 1
Selection specific SR 4 7 10
1 - 1 ... 10 - 16 1 - 2 ... 16 - 23 2 - 3 ... 21 - 28
Selection specific two SRs 5 10 14
1 - 1 ... 13 - 18 2 - 3 ... 19 - 25 4 - 6 ... 24 - 31
Selection specific three SRs 7 11 15
1 - 2 ... 14 - 19 3 - 5 ... 21 - 27 6 - 8 ... 26 - 33
Selection any UR 1
1 - 1 ... 2 - 2
Selection specific UR 7 13 19
1 - 1 ... 19 - 29 1 - 3 ... 30 - 4 3 - 6 ... 40 - 53
Selection specific two URs 10 18 25
1 - 2 ... 23 - 33 4 - 6 ... 35 - 47 8 - 11 ... 45 - 58
Selection specific three URs 12 21 29
2 - 3 ... 26 - 36 6 - 9 ... 38 - 50 11 - 14 ... 49 - 61
Secret **any featured SR from Dino Pack ** 1
1 - 1 ... 1 - 2
Secret specific featured SR from Dino Pack 4 7 10
1 - 1 ... 10 - 16 1 - 2 ... 16 - 23 2 - 3 ... 21 - 28
Secret any featured UR from Dino Pack 1
1 - 1 ... 3 - 5
Secret specific featured UR from Dino Pack 8 16 24
1 - 1 ... 23 - 36 2 - 3 ... 37 - 51 4 - 7 ... 49 - 65
Secret specific non-featured UR from Dino Pack 894 1,832 2,731
10 - 49 ... 2,794 - 4,132 140 - 334 ... 4,362 - 5,968 410 - 768 ... 5,821 - 7,276
Master any SR 1
1 - 1 ... 1 - 1
Master specific SR 299 605 902
4 - 16 ... 920 - 1,434 46 - 109 ... 1,459 - 2,141 133 - 250 ... 1,949 - 2,704
Master any UR 1
1 - 1 ... 2 - 2
Master specific UR 457 926 1,384
5 - 25 ... 1,402 - 2,114 70 - 167 ... 2,204 - 3,050 205 - 384 ... 2,934 - 3,769
Average (mean) # of pulls
1st - 5th ... 95th - 99th percentile of pulls
Number of cards in 10 pack pull before finding 1st copy 2nd 3rd
Selection any SR 13
1-1 ... 39 - 60
Selection specific SR 266 532 799
3 - 14 ... 796 - 1,224 41 - 96 ... 1,262 - 1,765 118 - 219 ... 1,675 - 2,236
Selection specific two SRs 399 732 1,048
29 - 68 ... 977 - 1,408 143 - 238 ... 1,478 - 1,975 296 - 435 ... 1,917 - 2,466
Selection specific three SRs 488 855 1,197
66 - 124 ... 1,084 - 1,516 233 - 344 ... 1,603 - 2,097 428 - 579 ... 2,056 - 2,600
Selection any UR 38
1 - 3 ... 111 - 160
Selection specific UR 500 1,000 1,500
6 - 27 ... 1,492 - 2,290 78 - 183 ... 2,363 - 3,304 225 - 416 ... 3,138 - 4,184
Selection specific two URs 750 1,375 1,969
56 - 131 ... 1,830 - 2,633 274 - 453 ... 2,767 - 3,695 563 - 824 ... 3,591 - 4,612
Selection specific three URs 917 1,607 2,248
127 - 236 ... 2,029 - 2,834 445 - 653 ... 3,001 - 3,922 813 - 1,097 ... 3,851 - 4,860
Secret any featured SR from Dino Pack 27
1 - 2 ... 79 - 120
Secret specific featured SR from Dino Pack 266 532 799
3 - 14 ... 796 - 1,224 41 - 96 ... 1,262 - 1,765 118 - 219 ... 1,674 - 2,236
Secret any featured UR from Dino Pack 77
1 - 5 ... 222 - 337
Secret specific featured UR from Dino Pack 615 1,231 1,846
276 - 510 ... 3,865 - 5,153 276 - 510 ... 3,865 - 5,153 276 - 510 ... 3,865 - 5,153
Secret specific non-featured UR from Dino Pack 71,441 146,530 218,468
758 - 3,856 ... 223,498 - 330,510 11,164 - 26,694 ... 348,948 - 477,424 32,757 - 61,407 ... 465,606 - 582,037
Master any SR 13
1 - 1 ... 39 - 60
Master specific SR 23,866 48,336 72,158
246 - 1,251 ... 73,573 - 114,688 3,622 - 8,665 ... 116,690 - 171,214 10,632 - 19,940 ... 155,864 - 216,243
Master any UR 38
1 - 3 ... 111 - 160
Master specific UR 36,498 74,065 110,720
381 - 1,930 ... 112,123 - 169,070 5,585 - 13,351 ... 176,320 - 243,947 16,384 - 30,713 ... 234,656 - 301,513
Average (mean) # of pulls
1st - 5th ... 95th - 99th percentile of pulls

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Calculate outcome tables for games using Markov Chains

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