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Dealer Total's Blackjack Side Bets
Introduction
The Dealer Total side bets are a set of five side bets on the dealer's eventual total. They are offered on blackjack tables titled Set it Up 21. I noticed these bets at the Downtown Grand casino in Las Vegas on March 28, 2024.
Rules
The following are the rules as were played at the Downtown Grand.
- Six ordinary decks are used.
- Card values are as in blackjack, which I assume the reader is familiar with.
- There are five side bets, based on the eventual dealer total, as listed below.
- A dealer blackjack shall count as a win for the "21 or 22" point bet.
- I assume the dealer will always draw out his hand, even if every player busts.
- The game was dealt from a continuous shuffler.
- Side bet limits were $1 to $25.
Available Bets and Pays:
- 17 or 18 — Pays 2 to 1
- 19 or 20 — Pays 2 to 1
- 21 or 22 — Pays 3 to 1
- 23 or 24 — Pays 6 to 1
- 25 or 26 — Pays 9 to 1
Analysis
Following is my analysis of the Downtown Grand game, which consisted of six decks and the dealer hitting a soft 17. The expected value shows how much the player can expect to win of each wager. The negative numbers indicate a dealer advantage. The best bet is on a 19 or 20 at a 4.84% house edge.
Six Decks — Dealer Hits Soft 17
Bet | Pays | Probability | Expected Return |
---|---|---|---|
17 or 18 | 2 | 0.274664 | -0.176009 |
19 or 20 | 2 | 0.317212 | -0.048363 |
21 or 22 | 3 | 0.195900 | -0.216399 |
23 or 24 | 6 | 0.123251 | -0.137241 |
25 or 26 | 9 | 0.088973 | -0.110273 |
Other Statistics
As long as I did the math for these side bets, I present the following tables showing the probability of all possible dealer outcomes for 1, 2, 6 and 8 decks as well as the dealer hitting on or standing on a soft 17.
The following table shows the dealer probabilities when the dealer hits on a soft 17.
Dealer Hits on Soft 17
Dealer Total | 1 Deck | 2 Decks | 6 Decks | 8 Decks |
---|---|---|---|---|
Blackjack | 0.048265 | 0.047797 | 0.047489 | 0.047451 |
17 | 0.134441 | 0.133854 | 0.133459 | 0.133409 |
18 | 0.139694 | 0.140601 | 0.141205 | 0.141280 |
19 | 0.136757 | 0.136104 | 0.135682 | 0.135630 |
20 | 0.177783 | 0.180050 | 0.181531 | 0.181714 |
21 | 0.075574 | 0.075148 | 0.074874 | 0.074841 |
22 | 0.073362 | 0.073470 | 0.073536 | 0.073544 |
23 | 0.066558 | 0.066104 | 0.065799 | 0.065761 |
24 | 0.057726 | 0.057554 | 0.057452 | 0.057440 |
25 | 0.049769 | 0.049302 | 0.048995 | 0.048957 |
26 | 0.040070 | 0.040016 | 0.039978 | 0.039973 |
The following table shows the dealer probabilities when the dealer stands on a soft 17.
Dealer Stands on Soft 17
Dealer Total | 1 Deck | 2 Decks | 6 Decks | 8 Decks |
---|---|---|---|---|
Blackjack | 0.048265 | 0.047797 | 0.047489 | 0.047451 |
17 | 0.145830 | 0.145482 | 0.145245 | 0.145215 |
18 | 0.138063 | 0.138780 | 0.139258 | 0.139318 |
19 | 0.134820 | 0.134132 | 0.133685 | 0.133629 |
20 | 0.175806 | 0.178058 | 0.179527 | 0.179709 |
21 | 0.073630 | 0.073168 | 0.072874 | 0.072838 |
22 | 0.072401 | 0.072519 | 0.072591 | 0.072599 |
23 | 0.065746 | 0.065266 | 0.064946 | 0.064905 |
24 | 0.056904 | 0.056758 | 0.056672 | 0.056662 |
25 | 0.049077 | 0.048618 | 0.048316 | 0.048278 |
26 | 0.039458 | 0.039422 | 0.039397 | 0.039394 |