# Next Step Blackjack

## Introduction

Next Step Blackjack is a blackjack side bet that pays if the player or dealer gets a blackjack. There is a fixed win for a dealer blackjack while the roll of four dice determines the win for a player blackjack.

As of October, 2016, it can be found at Isle of Capri in Lula, MS and the Lady Luck in Vicksburg, MS.

## Rules

1. The player may make the Next Step Blackjack wager at the same time as his blackjack wager.
2. If the dealer gets a blackjack, then the player shall win 3 to 1 on his side bet.
3. If the player gets a blackjack, then the player shall be paid according to the shake of four dice and in some cases the type of blackjack. The table below shows the pays of two known pay tables.
4. If both player and dealer get a blackjack, then the player shall win the sum of the wins for each blackjack.

### Pay Tables

Dice Player
Blackjack
Pay
Table 1
Pay
Table 2
21 A/K in hearts 1,000 1,000
21 Suited 100 100
21 Non-suited 50 50
20 Any 40 30
19 Any 30 25
18 Any 20 15
17 Any 15 15
Other Any 10 10

## Analysis

The following table shows my analysis of Pay Table 1 with six decks. The lower right cell shows a house edge of 11.32%.

### Pay Table 1 Analysis — Six Decks.

Player
Blackjack
Dealer
Blackjack
Dice
Total
Pays Combinations Probability Return
AK in hearts Yes 21 1003 1,573,200 0.000001 0.000524
AK in hearts No 21 1000 32,911,200 0.000011 0.010929
Suited Yes 21 103 23,598,000 0.000008 0.000807
Suited No 21 100 493,668,000 0.000164 0.016393
Non-suited Yes 21 53 75,513,600 0.000025 0.001329
Non-suited No 21 50 1,579,737,600 0.000525 0.026229
Yes Yes 20 43 176,198,400 0.000059 0.002516
Yes Yes 19 33 281,917,440 0.000094 0.003089
Yes Yes 18 23 402,739,200 0.000134 0.003076
Yes Yes 17 18 523,560,960 0.000174 0.003129
Yes Yes Other 13 5,039,274,240 0.001673 0.021754
Yes No 20 40 3,686,054,400 0.001224 0.048960
Yes No 19 30 5,897,687,040 0.001958 0.058752
Yes No 18 20 8,425,267,200 0.002798 0.055954
Yes No 17 15 10,952,847,360 0.003637 0.054555
Yes No Other 10 105,421,155,840 0.035006 0.350064
No Yes Any 3 136,489,328,640 0.045323 0.135969
No No Any -1 2,731,978,238,400 0.907188 -0.907188
Total       3,011,481,270,720 1.000000 -0.113159

The following table shows my analysis of Pay Table 1 with eight decks. The lower right cell shows a house edge of 11.39%.

### Pay Table 1 Analysis — Eight Decks.

Player
Blackjack
Dealer
Blackjack
Dice
Total
Pays Combinations Probability Return
AK in hearts Yes 21 1003 5,039,360 0.000001 0.000528
AK in hearts No 21 1000 104,389,120 0.000011 0.010915
Suited Yes 21 103 75,590,400 0.000008 0.000814
Suited No 21 100 1,565,836,800 0.000164 0.016372
Non-suited Yes 21 53 241,889,280 0.000025 0.001340
Non-suited No 21 50 5,010,677,760 0.000524 0.026196
Yes Yes 20 43 564,408,320 0.000059 0.002538
Yes Yes 19 33 903,053,312 0.000094 0.003116
Yes Yes 18 23 1,290,076,160 0.000135 0.003102
Yes Yes 17 18 1,677,099,008 0.000175 0.003156
Yes Yes Other 13 16,142,077,952 0.001688 0.021941
Yes No 20 40 11,691,581,440 0.001222 0.048899
Yes No 19 30 18,706,530,304 0.001956 0.058678
Yes No 18 20 26,723,614,720 0.002794 0.055884
Yes No 17 15 34,740,699,136 0.003632 0.054487
Yes No Other 10 334,379,229,184 0.034962 0.349625
No Yes Any 3 432,922,558,464 0.045266 0.135798
No No Any -1 8,677,195,372,800 0.907283 -0.907283
Total       9,563,939,723,520 1.000000 -0.113891

The following table shows my analysis of Pay Table 2 with six decks. The lower right cell shows a house edge of 15.09%.

### Pay Table 2 Analysis — Six Decks.

Player
Blackjack
Dealer
Blackjack
Dice
Total
Pays Combinations Probability Return
AK in hearts Yes 21 1003 1,573,200 0.000001 0.000524
AK in hearts No 21 1000 32,911,200 0.000011 0.010929
Suited Yes 21 103 23,598,000 0.000008 0.000807
Suited No 21 100 493,668,000 0.000164 0.016393
Non-suited Yes 21 53 75,513,600 0.000025 0.001329
Non-suited No 21 50 1,579,737,600 0.000525 0.026229
Yes Yes 20 33 176,198,400 0.000059 0.001931
Yes Yes 19 28 281,917,440 0.000094 0.002621
Yes Yes 18 18 402,739,200 0.000134 0.002407
Yes Yes 17 18 523,560,960 0.000174 0.003129
Yes Yes Other 13 5,039,274,240 0.001673 0.021754
Yes No 20 30 3,686,054,400 0.001224 0.036720
Yes No 19 25 5,897,687,040 0.001958 0.048960
Yes No 18 15 8,425,267,200 0.002798 0.041966
Yes No 17 15 10,952,847,360 0.003637 0.054555
Yes No Other 10 105,421,155,840 0.035006 0.350064
No Yes Any 3 136,489,328,640 0.045323 0.135969
No No Any -1 2,731,978,238,400 0.907188 -0.907188
Total       3,011,481,270,720 1.000000 -0.150901

The following table shows my analysis of Pay Table 2 with eight decks. The lower right cell shows a house edge of 15.16%.

### Pay Table 1 Analysis — Eight Decks.

Dice Player
Blackjack
Pay
Table 1
Pay
Table 2
AK in hearts Yes 21 1003 5,039,360 0.000001 0.000528
AK in hearts No 21 1000 104,389,120 0.000011 0.010915
Suited Yes 21 103 75,590,400 0.000008 0.000814
Suited No 21 100 1,565,836,800 0.000164 0.016372
Non-suited Yes 21 53 241,889,280 0.000025 0.001340
Non-suited No 21 50 5,010,677,760 0.000524 0.026196
Yes Yes 20 33 564,408,320 0.000059 0.001947
Yes Yes 19 28 903,053,312 0.000094 0.002644
Yes Yes 18 18 1,290,076,160 0.000135 0.002428
Yes Yes 17 18 1,677,099,008 0.000175 0.003156
Yes Yes Other 13 16,142,077,952 0.001688 0.021941
Yes No 20 30 11,691,581,440 0.001222 0.036674
Yes No 19 25 18,706,530,304 0.001956 0.048899
Yes No 18 15 26,723,614,720 0.002794 0.041913
Yes No 17 15 34,740,699,136 0.003632 0.054487
Yes No Other 10 334,379,229,184 0.034962 0.349625
No Yes Any 3 432,922,558,464 0.045266 0.135798
No No Any -1 8,677,195,372,800 0.907283 -0.907283
Total       9,563,939,723,520 1.000000 -0.151603

## Disclaimer

I spoke with the makers of Next Step Blackjack at the 2016 Global Gaming Expo and they quoted to me house edge figures different that what I show above. I have tried to reach them to resolve our differences in the math, but have been unsuccessful. However, I did seek a second opinion, which agreed with my analysis above.