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Last Updated: December 8, 2016

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Lucky Aces

Introduction

Lucky Aces is a blackjack side bet I noticed on an electronic blackjack game on October 13, 2016 at the Mirage. It based based on the number of aces between the player's and dealer's first two cards.

Rules



  1. Eight decks of cards are used.
  2. The Lucky Aces pays based on the four cards comprising the player's and dealer's initial two cards. The pay table is shown below. All wins are on a "to one" basis, meaning the original bet is returned on a win.


Lucky Aces Pay Table

Event Pays
Four aces 500
Three suited aces 250
Three aces 30
Two suited aces 12
Two aces 5
One ace of diamonds 2
One ace 1

Analysis



The following table shows the probability and contribution to the return of all possible outcomes. The lower right cell shows a house edge of 14.90%.

Lucky Aces Pay Table

Event Pays Combinations Probability Return
Four aces 500 35,960 0.000029 0.014619
Three suited aces 250 86,016 0.000070 0.017484
Three aces 30 1,818,624 0.001479 0.044359
Two suited aces 12 8,236,032 0.006696 0.080356
Two aces 5 28,237,824 0.022959 0.114794
One ace of diamonds 2 74,908,672 0.060905 0.121810
One ace 1 224,726,016 0.182714 0.182714
No aces -1 891,881,376 0.725148 -0.725148
Total 1,229,930,520 1.000000 -0.149012

The next table shows the house edge for 4, 5, 6, and 8 decks.

House Edge by Number of Decks

Decks House
Edge
8 14.90%
6 15.56%
5 16.08%
4 16.83%


Written by: Michael Shackleford

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