# Honey Bonus

## Introduction

Honey Bonus is a blackjack side bet I saw at live dealer blackjack tables by BetConstruct, a provider of games to Internet casinos. Wins are usually based on the player's initial two cards and the dealer's up card. An exception is the win for a suited blackjack must comprise the player's initial two cards.

## Rules

1. Ordinary 52-card decks are used.
2. For purposes of the Honey Bonus, cards are ranked as in poker, with aces high or low.
3. The pay table is as follows:
• Three of a Kind — Pays 20 to 1
• Straight — Pays 10 to 1
• Flush — Pays 5 to 1
• Suited blackjack in player's two cards — Pays 3 to 1

## Analysis

The following table shows my analysis for the Honey Bonus, played with eight decks of cards, as used by BetConstruct. The lower right cell shows a house edge of 13.51%.

### Honey Bonus — Eight Decks

Event Pays Permutations Probability Return
Three of a kind 20 193,440 0.108259 0.108259
Straight 10 1,179,648 0.330096 0.330096
Flush 5 2,102,784 0.294207 0.294207
Suited blackjack 3 313,344 0.026305 0.026305
Other -1 31,947,264 -0.893968 -0.893968
Total   35,736,480 -0.135101 -0.135101

The following table shows my analysis for the Honey Bonus, played with six decks of cards. The lower right cell shows a house edge of 14.01%.

### Honey Bonus — Six Decks

Event Pays Permutations Probability Return
Three of a kind 20 78,936 0.104968 0.104968
Straight 10 497,664 0.330894 0.330894
Flush 5 878,688 0.292118 0.292118
Suited blackjack 3 132,192 0.026368 0.026368
Other -1 13,452,480 -0.894449 -0.894449
Total   15,039,960 -0.140100 -0.140100

The following table shows my analysis for the Honey Bonus, played with four decks of cards. The lower right cell shows a house edge of 15.00%.

### Honey Bonus — Four Decks

Event Pays Permutations Probability Return
Three of a kind 20 21,840 0.098494 0.098494
Straight 10 147,456 0.332500 0.332500
Flush 5 255,360 0.287907 0.287907
Suited blackjack 3 39,168 0.026496 0.026496
Other -1 3,970,944 -0.895412 -0.895412
Total   4,434,768 -0.150015 -0.150015