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Lucky Lucky Blackjack: โชคดีโชคดี

2021-09-24

  Lucky Lucky is a side bet based on the player’s first two cards and the dealer’s up card. As far as I know, it is the first side bet to be based on the player’s first two cards and the dealer’s up card. Since it came out, there have been many imitators.

  Through the years I have seen four pay tables, which I refer to on this page as numbers 1 to 4. Pay table 1 was the original one and seen at casinos all over the United States and Canada. Pay table 2 was a double-deck version, omitting the pay for a suited 7-7-7, which is impossible in a double-deck game. Pay table 3 came along around 2014 as an apparent effort to increase what was a low house advantage for a side bet. Pay table 4 can be found at Internet casinos using Felt Gaming software.

  The following table shows the various pay tables.

  Event

  PT 1

  PT 2

  PT 3

  PT 4

  PT 5

  PT 6

  PT 8

  PT 8

  Suited 7-7-7

  200

  0

  200

  200

  200

  200

  100

  500

  Suited 6-7-8

  100

  100

  100

  100

  100

  100

  50

  200

  Unsuited 7-7-7

  50

  50

  50

  50

  50

  50

  30

  100

  Unsuited 6-7-8

  30

  30

  30

  25

  30

  30

  10

  25

  Suited total of 21

  15

  10

  10

  15

  15

  10

  3

  15

  Unsuited total of 21

  3

  3

  3

  3

  3

  3

  2

  3

  Total of 20

  2

  2

  2

  2

  2

  2

  2

  2

  Total of 19

  2

  2

  2

  2

  1

  1

  1

  1

  Following is my analysis of pay table 1 using six decks. The lower right cell shows a house edge of 2.66%, which is quite low for a side bet.

  Event

  Pays

  Combinations

  Probability

  Return

  Suited lucky lucky blackjack 7-7-7

  200

  80

  0.000016

  0.003191

  Suited 6-7-8

  100

  864

  0.000172

  0.017234

  Unsuited 7-7-7

  50

  1,944

  0.000388

  0.019388

  Unsuited 6-7-8

  30

  12,960

  0.002585

  0.077553

  Suited total of 21

  15

  26,568

  0.005299

  0.079492

  Unsuited total of 21

  3

  406,296

  0.081043

  0.243130

  Total of 20

  2

  377,568

  0.075313

  0.150626

  Total of 19

  2

  364,320

  0.072670

  0.145341

  All other

  -1

  3,822,720

  0.762513

  -0.762513

  Total

  5,013,320

  1.000000

  -0.026556

  Following is my analysis of pay table 2 using two decks. The lower right cell shows a house edge of 5.39%.

  Event

  Combinations

  Probability

  Pays

  Return

  Suited 6-7-8

  100

  32

  0.000176

  0.017572

  Any 7-7-7

  50

  56

  0.000308

  0.015376

  Unsuited 6-7-8

  30

  480

  0.002636

  0.079076

  Suited total of 21

  10

  936

  0.005140

  0.051399

  Unsuited total of 21

  3

  14,904

  0.081843

  0.245530

  Total of 20

  2

  13,792

  0.075737

  0.151474

  Total of 19

  2

  13,344

  0.073277

  0.146554

  All other

  -1

  138,560

  0.760884

  -0.760884

  Total

  182,104

  1.000000

  -0.053903

  Following is my analysis of pay table 2 using one deck. The lower right cell shows a house edge of 5.05%.

  Event

  Pays

  Combinations

  Probability

  Return

  Suited 6-7-8

  100

  4

  0.000181

  0.018100

  Any 7-7-7

  50

  4

  0.000181

  0.009050

  Unsuited 6-7-8

  30

  60

  0.002715

  0.081448

  Suited total of 21

  10

  108

  0.004887

  0.048869

  Unsuited total of 21

  3

  1,836

  0.083077

  0.249231

  Total of 20

  2

  1,688

  0.076380

  0.152760

  Total of 19

  2

  1,640

  0.074208

  0.148416

  All other

  -1

  16,760

  0.758371

  -0.758371

  Total

  22,100

  1.000000

  -0.050498

  Following is my analysis of pay table 3 using six decks. The lower right cell shows a house edge of 5.31%.

  Event

  Pays

  Combinations

  Probability

  Return

  Suited 7-7-7

  200

  80

  0.000016

  0.003191

  Suited 6-7-8

  100

  864

  0.000172

  0.017234

  Unsuited 7-7-7

  50

  1,944

  0.000388

  0.019388

  Unsuited 6-7-8

  30

  12,960

  0.002585

  0.077553

  Suited total of 21

  10

  26,568

  0.005299

  0.052995

  Unsuited total of 21

  3

  406,296

  0.081043

  0.243130

  Total of 20

  2

  377,568

  0.075313

  0.150626

  Total of 19

  2

  364,320

  0.072670

  0.145341

  All other

  -1

  3,822,720

  0.762513

  -0.762513

  Total

  5,013,320

  1.000000

  -0.053054

  Following is my analysis of pay table 4 using six decks. The lower right cell shows a house edge of 3.95%.

  Event

  Pays

  Combinations

  Probability

  Return

  Suited 7-7-7

  200

  80

  0.000016

  0.003191

  Suited 6-7-8

  100

  864

  0.000172

  0.017234

  Unsuited 7-7-7

  50

  1,944

  0.000388

  0.019388

  Unsuited 6-7-8

  25

  12,960

  0.002585

  0.064628

  Suited total of 21

  15

  26,568

  0.005299

  0.079492

  Unsuited total of 21

  3

  406,296

  0.081043

  0.243130

  Total of 20

  2

  377,568

  0.075313

  0.150626

  Total of 19

  2

  364,320

  0.072670

  0.145341

  All other

  -1

  3,822,720

  0.762513

  -0.762513

  Total

  5,013,320

  1.000000

  -0.039482

  Following is my analysis of pay table 5 using six decks. The lower right cell shows a house edge of 9.96%.

  Event

  Pays

  Combinations

  Probability

  Return

  Suited 7-7-7

  200

  40

  0.000014

  0.002763

  Suited 6-7-8

  100

  500

  0.000173

  0.017267

  Unsuited 7-7-7

  50

  1,100

  0.000380

  0.018994

  Unsuited 6-7-8

  30

  7,500

  0.002590

  0.077704

  Suited total of 21

  15

  15,300

  0.005284

  0.079258

  Unsuited total of 21

  3

  234,900

  0.081123

  0.243368

  Total of 20

  2

  218,200

  0.075355

  0.150710

  Total of 19

  1

  210,600

  0.072731

  0.072731

  All other

  -1

  2,207,480

  0.762351

  -0.762351

  Total

  2,895,620

  1.000000

  -0.099557

  Following is my analysis of pay table 6 using six decks. The lower right cell shows a house edge of 12.60%.

  Event

  Pays

  Combinations

  Probability

  Return

  Suited 7-7-7

  200

  40

  0.000014

  0.002763

  Suited 6-7-8

  100

  500

  0.000173

  0.017267

  Unsuited 7-7-7

  50

  1,100

  0.000380

  0.018994

  Unsuited 6-7-8

  30

  7,500

  0.002590

  0.077704

  Suited total of 21

  10

  15,300

  0.005284

  0.052838

  Unsuited total of 21

  3

  234,900

  0.081123

  0.243368

  Total of 20

  2

  218,200

  0.075355

  0.150710

  Total of 19

  1

  210,600

  0.072731

  0.072731

  All other

  -1

  2,207,480

  0.762351

  -0.762351

  Total

  2,895,620

  1.000000

  -0.125976

  Following is my analysis of pay table 7 using one deck. The lower right cell shows a house edge of 5.05%.

  Event

  Pays

  Combinations

  Probability

  Return

  Suited 6-7-8

  100

  4

  0.000181

  0.018100

  Any 7-7-7

  50

  4

  0.000181

  0.009050

  Unsuited 6-7-8

  30

  60

  0.002715

  0.081448

  Suited total of 21

  10

  108

  0.004887

  0.048869

  Unsuited total of 21

  3

  1,836

  0.083077

  0.249231

  Total of 20

  2

  1,688

  0.076380

  0.152760

  Total of 19

  2

  1,640

  0.074208

  0.148416

  All other

  -1

  16,760

  0.758371

  -0.758371

  Total

  22,100

  1.000000

  -0.050498

  The following table is an analysis of pay table 8 with six decks.

  Event

  Pays

  Combinations

  Probability

  Return

  Suited 777

  500

  80

  0.000016

  0.007979

  Suited 678

  200

  864

  0.000172

  0.034468

  Unsuited 777

  100

  1,944

  0.000388

  0.038777

  Unsuited 678

  25

  12,960

  0.002585

  0.064628

  Suited 21

  15

  26,568

  0.005299

  0.079492

  Unsuited 21

  3

  406,296

  0.081043

  0.243130

  Any 20

  2

  377,568

  0.075313

  0.150626

  Any 19

  1

  364,320

  0.072670

  0.072670

  All other

  -1

  3,822,720

  0.762513

  -0.762513

  Total

  5,013,320

  1.000000

  -0.070743

  Following is a summary of the house edge by pay table and number of decks.

  Decks

  Pay Table 1

  Pay Table 2

  Pay Table 3

  Pay Table 4

  Pay Table 5

  Pay Table 6

  Pay Table 7

  Pay Table 8

  1

  2.61%

  5.95%

  6.66%

  6.41%

  7.31%

  8.67%

  9.56%

  8.67%

  2

  2.82%

  5.21%

  6.02%

  5.97%

  6.85%

  8.17%

  9.03%

  8.17%

  3

  2.77%

  4.65%

  5.5%

  5.52%

  6.39%

  7.7%

  8.54%

  7.7%

  4

  2.72%

  4.32%

  5.18%

  5.24%

  6.1%

  7.4%

  8.25%

  7.4%

  5

  2.68%

  4.1%

  4.98%

  5.05%

  5.92%

  7.21%

  8.05%

  7.21%

  6

  2.66%

  3.95%

  4.83%

  4.92%

  5.78%

  7.07%

  7.91%

  7.07%

  7

  2.63%

  3.84%

  4.72%

  4.82%

  5.68%

  6.97%

  7.81%

  6.97%

  8

  2.63%

  3.84%

  4.72%

  4.82%

  5.68%

  6.97%

  7.81%

  6.97%

  Written by: Michael Shackleford