# 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.

1. Six ordinary decks are used.
2. Card values are as in blackjack, which I assume the reader is familiar with.
3. There are five side bets, based on the eventual dealer total, as listed below.
4. A dealer blackjack shall count as a win for the "21 or 22" point bet.
5. I assume the dealer will always draw out his hand, even if every player busts.
6. The game was dealt from a continuous shuffler.
7. 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