Raise the Roof is a side bet in blackjack that pays out based on the dealer's bust card; it offers better payouts for lower cards, and players may increase their side bet after seeing the dealer's upcard.
As of June 13, 2017, Raise the Roof can be played at Tortoise Rock in California and select casinos in the Czech Republic.
Rules
This game follows traditional blackjack rules, which I assume the reader is already familiar with.
The Raise the Roof side bet is influenced solely by the number of decks used, whether the dealer takes a hit or stands on a soft 17, and the payout structure applied.
When placing a blackjack bet, the player can choose to also make the Raise the Roof side bet.
The dealer will distribute two cards to each player and two cards for themselves, with one card facing up and one facing down, consistent with standard practice.
If the dealer has blackjack, the Raise the Roof bet automatically loses.
However, if the dealer does not have blackjack, players may opt to increase their Raise the Roof bet by an amount ranging from 1x to 5x their original wager.
Players will then proceed to play their blackjack hands as they normally would. Even if a player busts, their Raise the Roof wagers remain active.
The dealer will follow through with their hand. If their total falls between 17 and 21, all Raise the Roof bets, both initial and any increases, will lose.
Should the dealer bust, and the player did not raise their Raise the Roof bet, the original Raise the Roof wager will result in a 1-to-1 payout.
If the dealer busts and the player has increased their Raise the Roof bet, both the original wager and the additional amount will be paid out according to one of the pre-established payout tables.
The winnings for a hand totaling 4-5-6-7 pertain to the dealer's entire hand; the order of cards does not matter, but no extra cards can be present. For instance, a 4-5-6-A-7 would not qualify because of the ace.
There are six different payout tables that casino management can choose from for the Raise the Roof side bet, detailed in the table below. Tables 1 and 2 apply to six- and eight-deck games where the dealer hits on a soft 17; Tables 3 and 4 apply to the same deck sizes where the dealer stands on a soft 17; Tables 5 and 6 are for two-deck games in which the dealer hits on a soft 17. All payouts are given on a 'to one' basis.
Raise the Roof Pay Tables
Event
Pay Table 1
Pay Table 2
Pay Table 3
Pay Table 4
Pay Table 5
Pay Table 6
4-5-6-7 suited
200
500
200
500
300
500
4-5-6-7
40
50
50
40
30
25
Bust with 6
10
10
10
10
10
10
Bust with 7
5
4
5
5
5
5
Bust with 8
2
2
2
2
2
2
Bust with 9
1
1
1
1
1
1
Bust with 10
1
1
1
1
1
1
Analysis
To evaluate the side bet, I needed to ascertain the probabilities of all possible outcomes concerning the dealer's hand. The subsequent three tables contain supplementary information that may be beneficial for the analysis of this side bet.
The table below displays the raw probabilities associated with the dealer's hand for two decks, where the dealer must hit a soft 17.
The table below presents raw dealer probabilities for scenarios involving six decks where the dealer hits a soft 17.
Probabilities for the pre-peek scenario when there are six decks and the dealer is required to hit on soft 17.Expand
Event
Ace up
2 up
3 up
4 up
5 up
6 up
7 up
8 up
9 up
10 up
BJ
0.308682
0
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
0.077170
17
0.057270
0.130071
0.125900
0.122458
0.118089
0.115064
0.369208
0.128940
0.120310
0.111914
18
0.142822
0.135978
0.131930
0.125405
0.123042
0.114574
0.137931
0.359955
0.117348
0.111669
19
0.142935
0.131607
0.126656
0.122620
0.118216
0.115043
0.078428
0.128723
0.351854
0.111945
20
0.143284
0.125662
0.122185
0.117830
0.112435
0.110177
0.078682
0.069219
0.120368
0.340014
21
0.065858
0.120022
0.116371
0.113217
0.108586
0.105882
0.073816
0.069470
0.060877
0.034817
Bust with 6
0.004560
0.009703
0.009316
0.009107
0.008832
0.027906
0.009886
0.008990
0.008655
0.007784
Bust with 7
0.009240
0.019136
0.018408
0.017929
0.037906
0.039539
0.018290
0.017392
0.016458
0.015506
Bust with 8
0.013899
0.028091
0.027209
0.046992
0.048280
0.048982
0.027217
0.024344
0.024180
0.022424
Bust with 9
0.018560
0.036879
0.056261
0.057145
0.057715
0.058031
0.035189
0.033087
0.029802
0.028862
Bust with 10
0.092890
0.262851
0.265764
0.267297
0.266899
0.264802
0.171355
0.159881
0.150146
0.137895
The following table reveals the raw probabilities for a six-deck setup where the dealer stands on a soft 17.
Pre-Peek Dealer Probabilities -- Six Decks -- Dealer Stands on Soft 17Expand
Event
Ace up
2 up
3 up
4 up
5 up
6 up
7 up
8 up
9 up
10 up
BJ
0.308682
0
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
0.077170
17
0.130017
0.139656
0.134296
0.130556
0.121843
0.165707
0.369208
0.128940
0.120310
0.111914
18
0.130822
0.134389
0.130539
0.124062
0.122437
0.106194
0.137931
0.359955
0.117348
0.111669
19
0.130594
0.13002
0.125226
0.121272
0.117575
0.106431
0.078428
0.128723
0.351854
0.111945
20
0.130910
0.124019
0.120817
0.116441
0.111793
0.101551
0.078682
0.069219
0.120368
0.340014
21
0.053504
0.118413
0.114928
0.111866
0.107945
0.097276
0.073816
0.069470
0.060877
0.034817
Bust with 6
0.003693
0.009585
0.009213
0.009007
0.008786
0.027311
0.009886
0.008990
0.008655
0.007784
Bust with 7
0.007518
0.018907
0.018208
0.017736
0.037817
0.038342
0.018290
0.017392
0.016458
0.015506
Bust with 8
0.011431
0.027764
0.026923
0.046716
0.048152
0.047267
0.027217
0.024344
0.024180
0.022424
Bust with 9
0.015391
0.036456
0.055890
0.056788
0.057550
0.055836
0.035189
0.033087
0.029802
0.028862
Bust with 10
0.077441
0.260791
0.263960
0.265558
0.266101
0.254086
0.171355
0.159881
0.150146
0.137895
The next table provides data for two decks when the dealer hits on a soft 17.
Post-Peek Dealer Probabilities -- Two Decks -- Dealer Hits on Soft 17Expand
Event
Ace up
2 up
3 up
4 up
5 up
6 up
7 up
8 up
9 up
10 up
BJ
0.310680
0
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
0.077670
17
0.056818
0.129949
0.124999
0.122575
0.117533
0.115500
0.370478
0.129697
0.120940
0.112904
18
0.142065
0.134838
0.131904
0.121499
0.123331
0.114155
0.138195
0.361182
0.112016
0.112156
19
0.142376
0.132234
0.125913
0.122342
0.117920
0.115451
0.078013
0.129025
0.354051
0.113008
20
0.143456
0.12565
0.122970
0.117798
0.109627
0.109956
0.078781
0.068857
0.121118
0.335608
21
0.064980
0.120801
0.116754
0.114458
0.107921
0.106185
0.073390
0.069610
0.060977
0.035463
Bust with 6
0.004592
0.009714
0.009137
0.009144
0.008948
0.025844
0.009971
0.008589
0.008826
0.007423
Bust with 7
0.009385
0.019249
0.018250
0.018071
0.038449
0.040067
0.016878
0.016732
0.016310
0.015827
Bust with 8
0.014016
0.02796
0.027153
0.047560
0.048937
0.049135
0.026692
0.021816
0.024714
0.022857
Bust with 9
0.018620
0.036848
0.056631
0.057382
0.058072
0.058417
0.034853
0.033301
0.027776
0.029432
Bust with 10
0.093013
0.262756
0.266290
0.269172
0.269262
0.265292
0.172749
0.161192
0.153273
0.137653
The next trio of tables looks at post-peek outcomes that focus specifically on relevant events for the Raise the Roof side bet, on the assumption that the dealer has already checked for blackjack. These probabilities are crucial for determining whether players should make incremental increases (1x), substantial raises (5x), or no increase at all.
The subsequent table outlines the dealer probabilities when using six decks, with the dealer hitting on a soft 17.
Post-Peek Dealer Probabilities -- Six Decks -- Dealer Hits on Soft 17Expand
Event
Ace up
2 up
3 up
4 up
5 up
6 up
7 up
8 up
9 up
10 up
No bust
0.798719
0.643340
0.623042
0.601530
0.580368
0.560740
0.738065
0.756307
0.770757
0.769761
Bust with 6
0.006596
0.009703
0.009316
0.007780
0.007505
0.026579
0.008559
0.008990
0.008655
0.008435
Bust with 7
0.013366
0.019136
0.018408
0.016602
0.036579
0.038212
0.016963
0.017392
0.016458
0.016803
Bust with 8
0.020105
0.028091
0.027209
0.046992
0.048280
0.048982
0.027217
0.024344
0.024180
0.024299
Bust with 9
0.026847
0.036879
0.056261
0.057145
0.057715
0.058031
0.035189
0.033087
0.029802
0.031276
Bust with 10
0.134367
0.262851
0.265764
0.267297
0.266899
0.264802
0.171355
0.159881
0.150146
0.149426
4-5-6-7 suited
0.000000
0.000000
0.000000
0.000029
0.000029
0.000015
0.000015
0.000000
0.000000
0.000000
4-5-6-7
0.000000
0.000000
0.000000
0.001827
0.001827
0.000914
0.000914
0.000000
0.000000
0.000000
The next table refers to six decks where the dealer stands on a soft 17.
Post-Peek Dealer Probabilities -- Six Decks -- Dealer Stands on Soft 17Expand
Event
Ace up
2 up
3 up
4 up
5 up
6 up
7 up
8 up
9 up
10 up
No bust
0.832970
0.646497
0.625806
0.604197
0.581593
0.577159
0.738065
0.756307
0.770757
0.769761
Bust with 6
0.005342
0.009585
0.009213
0.007680
0.007459
0.025984
0.008559
0.008990
0.008655
0.008435
Bust with 7
0.010875
0.018907
0.018208
0.016409
0.036490
0.037015
0.016963
0.017392
0.016458
0.016803
Bust with 8
0.016535
0.027764
0.026923
0.046716
0.048152
0.047267
0.027217
0.024344
0.024180
0.024299
Bust with 9
0.022263
0.036456
0.055890
0.056788
0.057550
0.055836
0.035189
0.033087
0.029802
0.031276
Bust with 10
0.112019
0.260791
0.263960
0.265558
0.266101
0.254086
0.171355
0.159881
0.150146
0.149426
4-5-6-7 suited
0.000000
0.000000
0.000000
0.000029
0.000029
0.000015
0.000015
0.000000
0.000000
0.000000
4-5-6-7
0.000000
0.000000
0.000000
0.001827
0.001827
0.000914
0.000914
0.000000
0.000000
0.000000
The next table details the outcomes for two decks with a dealer who hits on a soft 17.
Post-Peek Dealer Probabilities -- Two Decks -- Dealer Hits on Soft 17Expand
Event
Ace up
2 up
3 up
4 up
5 up
6 up
7 up
8 up
9 up
10 up
No bust
0.797445
0.643472
0.622540
0.598672
0.576332
0.561247
0.738857
0.758371
0.769102
0.768856
Bust with 6
0.006662
0.009714
0.009137
0.007764
0.007568
0.024464
0.008591
0.008589
0.008826
0.008048
Bust with 7
0.013615
0.019249
0.018250
0.016691
0.037069
0.038687
0.015498
0.016732
0.016310
0.017160
Bust with 8
0.020333
0.027960
0.027153
0.047560
0.048937
0.049135
0.026692
0.021816
0.024714
0.024782
Bust with 9
0.027012
0.036848
0.056631
0.057382
0.058072
0.058417
0.034853
0.033301
0.027776
0.031910
Bust with 10
0.134934
0.262756
0.266290
0.269172
0.269262
0.265292
0.172749
0.161192
0.153273
0.149245
4-5-6-7 suited
0.000000
0.000000
0.000000
0.000030
0.000030
0.000015
0.000015
0.000000
0.000000
0.000000
4-5-6-7
0.000000
0.000000
0.000000
0.001900
0.001900
0.000950
0.000950
0.000000
0.000000
0.000000
The next six tables present expected returns for each viable option based on the dealer's up card according to the previous six pay tables. The only valid plays are:
S = Stand
1x = An increase that matches 1x the Raise the Roof wager.
5x = An increase that equals 5x the Raise the Roof wager.
Return from Pay Table 1 — Six Decks — Dealer Hits on Soft 17Expand
Ace up
No Raise
1x Raise
5x Raise
Max EV
Strategy
Prob.
Return
A
-0.597439
-0.929011
-2.787033
-0.597439
S
0.053178
-0.031771
2
-0.286680
-0.189436
-0.568308
-0.189436
1x
0.076923
-0.014572
3
-0.246084
-0.122798
-0.368394
-0.122798
1x
0.076923
-0.009446
4
-0.203060
0.125153
0.375458
0.375458
5x
0.076923
0.028881
5
-0.160736
0.367243
1.101728
1.101728
5x
0.076923
0.084748
6
-0.121480
0.738589
2.215768
2.215768
5x
0.076923
0.170444
7
-0.476128
-0.508589
-1.525766
-0.476128
S
0.076923
-0.036625
8
-0.512613
-0.675582
-2.026746
-0.512613
S
0.076923
-0.039432
9
-0.541516
-0.747218
-2.241654
-0.541516
S
0.076923
-0.041655
10
-0.539523
-0.744198
-2.232593
-0.539523
S
0.283948
-0.153196
Blackjack
-1.000000
0.047489
-0.047489
Total
1.000000
-0.090113
Return from Pay Table 2 — Six Decks — Dealer Hits on Soft 17Expand
Ace up
No Raise
1x Raise
5x Raise
Max EV
Strategy
Prob.
Return
A
-0.597439
-0.955743
-2.867228
-0.597439
S
0.053178
-0.031771
2
-0.286680
-0.227708
-0.683124
-0.227708
1x
0.076923
-0.017516
3
-0.246084
-0.159614
-0.478842
-0.159614
1x
0.076923
-0.012278
4
-0.203060
0.145095
0.435285
0.435285
5x
0.076923
0.033483
5
-0.160736
0.347231
1.041693
1.041693
5x
0.076923
0.080130
6
-0.121480
0.687412
2.062235
2.062235
5x
0.076923
0.158633
7
-0.476128
-0.517268
-1.551805
-0.476128
S
0.076923
-0.036625
8
-0.512613
-0.710366
-2.131098
-0.512613
S
0.076923
-0.039432
9
-0.541516
-0.780134
-2.340402
-0.541516
S
0.076923
-0.041655
10
-0.539523
-0.777803
-2.333409
-0.539523
S
0.283948
-0.153196
Blackjack
-1.000000
0.047489
-0.047489
Total
1.000000
-0.107715
Return from Pay Table 3 — Six Decks — Dealer Stands on Soft 17Expand
Ace up
No Raise
1x Raise
5x Raise
Max EV
Strategy
Prob.
Return
A
-0.665935
-1.115646
-3.346937
-0.665935
S
0.053178
-0.035413
2
-0.292994
-0.206674
-0.620022
-0.206674
1x
0.076923
-0.015898
3
-0.251612
-0.137880
-0.413640
-0.137880
1x
0.076923
-0.010606
4
-0.208392
0.147135
0.441406
0.441406
5x
0.076923
0.033954
5
-0.163187
0.397087
1.191262
1.191262
5x
0.076923
0.091636
6
-0.154317
0.667471
2.002412
2.002412
5x
0.076923
0.154032
7
-0.476128
-0.490317
-1.470952
-0.476128
S
0.076923
-0.036625
8
-0.512613
-0.675582
-2.026746
-0.512613
S
0.076923
-0.039432
9
-0.541516
-0.747218
-2.241654
-0.541516
S
0.076923
-0.041655
10
-0.539523
-0.744198
-2.232593
-0.539523
S
0.283948
-0.153196
Blackjack
-1.000000
0.047489
-0.047489
Total
1.000000
-0.100694
Return from Pay Table 4 — Six Decks — Dealer Stands on Soft 17Expand
Ace up
No Raise
1x Raise
5x Raise
Max EV
Strategy
Prob.
Return
A
-0.665935
-1.115646
-3.346937
-0.665935
S
0.053178
-0.035413
2
-0.292994
-0.206674
-0.620022
-0.206674
1x
0.076923
-0.015898
3
-0.251612
-0.137880
-0.413640
-0.137880
1x
0.076923
-0.010606
4
-0.208392
0.127994
0.383982
0.383982
5x
0.076923
0.029537
5
-0.163187
0.377946
1.133838
1.133838
5x
0.076923
0.087218
6
-0.154317
0.657900
1.973700
1.973700
5x
0.076923
0.151823
7
-0.476128
-0.499888
-1.499664
-0.476128
S
0.076923
-0.036625
8
-0.512613
-0.675582
-2.026746
-0.512613
S
0.076923
-0.039432
9
-0.541516
-0.747218
-2.241654
-0.541516
S
0.076923
-0.041655
10
-0.539523
-0.744198
-2.232593
-0.539523
S
0.283948
-0.153196
Blackjack
-1.000000
0.047489
-0.047489
Total
1.000000
-0.111737
Return from Pay Table 5 — Two Decks — Dealer Hits on Soft 17Expand
Ace up
No Raise
1x Raise
5x Raise
Max EV
Strategy
Prob.
Return
A
-0.594889
-0.920284
-2.760851
-0.594889
S
0.053025
-0.031544
2
-0.286945
-0.189126
-0.567378
-0.189126
1x
0.076923
-0.014548
3
-0.245079
-0.125386
-0.376158
-0.125386
1x
0.076923
-0.009645
4
-0.197343
0.112732
0.338195
0.338195
5x
0.076923
0.026015
5
-0.152664
0.364340
1.093019
1.093019
5x
0.076923
0.084078
6
-0.122492
0.690583
2.071749
2.071749
5x
0.076923
0.159365
7
-0.477714
-0.535973
-1.607919
-0.477714
S
0.076923
-0.036747
8
-0.516741
-0.701392
-2.104176
-0.516741
S
0.076923
-0.039749
9
-0.538203
-0.737630
-2.212890
-0.538203
S
0.076923
-0.041400
10
-0.537711
-0.743714
-2.231143
-0.537711
S
0.283794
-0.152599
Blackjack
-1.000000
0.047797
-0.047797
Total
1.000000
-0.104571
Return from Pay Table 6 — Two Decks — Dealer Hits on Soft 17Expand
Ace up
No Raise
1x Raise
5x Raise
Max EV
Strategy
Prob.
Return
A
-0.594889
-0.920284
-2.760851
-0.594889
S
0.053025
-0.031544
2
-0.286945
-0.189126
-0.567378
-0.189126
1x
0.076923
-0.014548
3
-0.245079
-0.125386
-0.376158
-0.125386
1x
0.076923
-0.009645
4
-0.197343
0.105796
0.317387
0.317387
5x
0.076923
0.024414
5
-0.152664
0.357404
1.072211
1.072211
5x
0.076923
0.082478
6
-0.122492
0.687115
2.061344
2.061344
5x
0.076923
0.158565
7
-0.477714
-0.539441
-1.618324
-0.477714
S
0.076923
-0.036747
8
-0.516741
-0.701392
-2.104176
-0.516741
S
0.076923
-0.039749
9
-0.538203
-0.737630
-2.212890
-0.538203
S
0.076923
-0.041400
10
-0.537711
-0.743714
-2.231143
-0.537711
S
0.283794
-0.152599
Blackjack
-1.000000
0.047797
-0.047797
Total
1.000000
-0.108573
The following table consolidates the house edge and risk factor under the various rule sets. Remember that the house edge reflects the expected loss ratio for players in relation to their initial bets, while the Element of Risk refers to the expected loss ratio based on the total average bet (including raises).
House Edge Summary
Decks
Soft 17
Pay Table
House Edge
Element of Risk
6
Hit
1-1-2-5-10-40-200
9.01%
3.90%
6
Hit
1-1-2-4-10-50-500
10.77%
4.67%
6
Stand
1-1-2-5-10-50-200
10.07%
4.36%
6
Stand
1-1-2-5-10-40-500
11.17%
4.84%
2
Hit
1-1-2-5-10-30-300
10.46%
4.53%
2
Hit
1-1-2-5-10-25-500
10.86%
4.70%
Strategy
Interestingly, the strategy proves consistent across all payout tables and rule sets. The table below indicates the optimal mathematical action for every possible dealer up card. Here’s a recap of the abbreviations used: S=Stand, 1x=1x Raise, 5x=5x Raise.