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A-2 Blackjack Side Bet

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Introduction

The A-2 is a blackjack side bet found on some electronic table games by Interblock. The bet wins if the dealer's up card falls between the player's two initial cards in rank.

Rules

Wins are based on the player's initial two cards and the dealer's up card. To win, these three cards must form a three of a kind or the dealer's up card must fall between the two player cards in rank. The number of ranks between the player's two cards is called the "spread."

  1. For purposes of the A-2 side bet, cards are ranked per their poker value, with aces HIGH only.
  2. The pay table is as follows:
    • Three of a kind -- Pays 50 to 1
    • Winning one-card spread -- Pays 5 to 1
    • Winning two-card spread -- Pays 4 to 1
    • All other wins -- Pays 1 to 1

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Analysis

The following table shows my analysis of the A-2 bet with six decks. The lower right cell shows a house edge of 11.10%.

A-2 -- Six Decks

Event Pays Permutations Probability Return
Three of a kind 50 157872 0.005248 0.262421
One-card spread 5 304128 0.010111 0.050553
Two-card spread 4 552960 0.018383 0.073532
All other spreads 1 7050240 0.234384 0.234384
Loss -1 22014720 0.731874 -0.731874
Total   30079920 1.000000 -0.110984

The following table shows my analysis of the A-2 bet with six decks. The lower right cell shows a house edge of 10.41%.

A-2 -- Eight Decks

Event Pays Permutations Probability Return
Three of a kind 50 386880 0.005413 0.270648
One-card spread 5 720896 0.010086 0.050431
Two-card spread 4 1310720 0.018339 0.073355
All other spreads 1 16711680 0.233818 0.233818
Loss -1 52342784 0.732344 -0.732344
Total   71472960 1.000000 -0.104092

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