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Spread-Bet Blackjack

Introduction

I noticed Spread-Bet blackjack at the Cammegh booth at the 2018 Global Gaming Expo. It is a set of three side bets, based on the sum of the player's initial two cards.

Rules

Following are the rules of what I will call Version 1.

  1. Spread-Bet blackjack is a set of three side bets in blackjack. Bets may be placed at the same time as the blackjack wager.
  2. All bets are based on the sum of the player's initial two cards. For purposes of the Spread Bets, aces count as one point.
  3. The three bets are:
    • Player total of 2 or 3 — Wins pay 50 to 1
    • Player total of 4 or 5 — Wins pay 21 to 1
    • Player total of 6 to 9 — Wins pay 5 to 1

Version 2 is the same as Version 1, except a player "Royal Blackjack" is a push. A Royal Blackjack is defined as an ace and any face cards.

Version 1 Analysis

The following table shows my analysis of the 2 or 3 bet under Version 1, where a player blackjack is a loss, based on six decks. The lower right cell shows a house edge of 10.44%.

Player Total of 2 or 3 — Version 1 — Six Decks

Event Pays Combinations Probability Return
Win 50 852 0.017561 0.878061
Lose -1 47,664 0.982439 -0.982439
Total   48,516 1.000000 -0.104378

The following table shows my analysis of the 4 or 5bet under Version 1, where a player blackjack is a loss, based on six decks. The lower right cell shows a house edge of 9.13%.

Player Total of 4 or 5 — Version 1 — Six Decks

Event Pays Combinations Probability Return
Win 21 2,004 0.041306 0.867425
Lose -1 46,512 0.958694 -0.958694
Total   48,516 1.000000 -0.091269

The following table shows my analysis of the 6 to 9 bet under Version 1, where a player blackjack is a loss, based on six decks. The lower right cell shows a house edge of 7.69%.

Player Total of 6 to 9 — Version 1 — Six Decks

Event Pays Combinations Probability Return
Win 5 7,464 0.153846 0.769231
Lose -1 41,052 0.846154 -0.846154
Total   48,516 1.000000 -0.076923

Version 2 Analysis

The following table shows my analysis of the 2 or 3 bet under Version 2, where a player blackjack is a push, based on six decks. The lower right cell shows a house edge of 6.88%.

Player Total of 2 or 3 — Version 2 — Six Decks

Event Pays Combinations Probability Return
Win 50 852 0.017561 0.878061
Push 0 1,728 0.035617 0.000000
Lose -1 45,936 0.946822 -0.946822
Total   48,516 1.000000 -0.068761

The following table shows my analysis of the 4 or 5 bet under Version 2, where a player blackjack is a push, based on six decks. The lower right cell shows a house edge of 5.57%.

Player Total of 4 or 5 — Version 2 — Six Decks

Event Pays Combinations Probability Return
Win 21 2,004 0.041306 0.867425
Push 0 1,728 0.035617 0.000000
Loss -1 44,784 0.923077 -0.923077
Total   48,516 1.000000 -0.055652

The following table shows my analysis of the 6 to 9 bet under Version 2, where a player blackjack is a push, based on six decks. The lower right cell shows a house edge of 4.13%.

Player Total of 6 to 9 — Version 2 — Six Decks

Event Pays Combinations Probability Return
Win 5 7,464 0.153846 0.769231
Push 0 1,728 0.035617 0.000000
Lose -1 39,324 0.810537 -0.810537
Total   48,516 1.000000 -0.041306