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Magic Jacks

Introduction

Magic Jacks, referred to as Jack Magic, is a side bet in blackjack that has appeared twice in California. The payout depends on the number of jacks, particularly the one-eyed jacks, among the player’s first two cards and the dealer's up card.

Rules

  1. The side bet is calculated based on the player’s initial two cards alongside the dealer’s up card.
  2. Out of the four jacks in each deck, two are portrayed in profile (the jack of spades and the jack of hearts), where only one eye is visible.
  3. Below are the two established pay tables for this bet.

Here are the known pay tables. Winning payouts are set on a 'to one' basis.

Pay Table — Version 1

Event Pays
Three one-eyed jacks 500
Three jacks 100
Two one-eyed jacks 30
Two jacks 10
One one-eyed jack 2
One jack 1

Pay Table — Version 2

Event Pays
Three one-eyed jacks 500
Three jacks 100
Two one-eyed jacks 40
Two jacks, one with one eye 12
Two jacks 8
One one-eyed jack 3
One jack 1

Analysis

The table below presents my analysis for version 1 using six decks, where the bottom-right cell indicates a house edge of 19.68% (that's quite high!).

Version 1 Return Table — Six Decks

Event Pays Combinations Probability Return
Three one-eyed jacks 500 220 0.000044 0.021942
Three jacks 100 1,804 0.000360 0.035984
Two one-eyed jacks 30 19,008 0.003791 0.113745
Two jacks 10 60,480 0.012064 0.120639
One one-eyed jack 2 495,936 0.098924 0.197847
One jack 1 495,936 0.098924 0.098924
Zero jacks -1 3,939,936 0.785894 -0.785894
Total   5,013,320 1.000000 -0.196813

The table below outlines the house edge according to version 1 across various deck counts.

House Edge — Version 1

Decks House Edge
3 21.56%
4 20.63%
5 20.06%
6 19.68%
8 19.20%

This table exhibits my assessment for version 2 with six decks; the bottom-right cell reveals a more favorable house edge of 5.10%.

Version 2 Return Table — Six Decks

Event Pays Combinations Probability Return
Three one-eyed jacks 500 220 0.000044 0.021942
Three jacks 100 1,804 0.000360 0.035984
Two one-eyed jacks 40 19,008 0.003791 0.151660
Two jacks, one with one eye 12 41,472 0.008272 0.099268
Two jacks 8 19,008 0.003791 0.030332
One one-eyed jack 3 495,936 0.098924 0.296771
One jack 1 495,936 0.098924 0.098924
Zero jacks -1 3,939,936 0.785894 -0.785894
Total   5,013,320 1.000000 -0.051013

The following table presents the house edge corresponding to the version 2 rules across different numbers of decks.

House Edge — Version 2

Decks House Edge
3 7.15%
4 6.13%
5 5.51%
6 5.10%
8 4.58%

External Links

You can join the conversation about Magic Jacks in my forum at Wizard of Vegas , which also delves into the subject of card counting (keep it quiet, Wiz!).