Lucky 8 Card Game

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Introduction

Introduction


I first saw Lucky 8's in June 2016 at the Venetian. It is an innovative new table game, which is something I don't often say any more, in this era of copycat games. The betting structure of the game is similar to Three Card Poker, in that there is a raise or fold decision, and the dealer must have a certain hand to qualify. However, the scoring is based on the number of 8-point groupings that can be made with eight cards.

Rules


Here are the rules to Lucky 8's.

Free lucky games
  1. The game is played with two modified decks of cards. Each deck uses only the aces to eights and one joker. The total cards is thus 66.
  2. Aces count as one point and jokers count as 8 points. All other cards are scored according to pip value.
  3. Play begins with the player making an Ante bet and optional Lucky 8 side bet.
  4. The dealer shall then give the player and himself eight cards each.
  5. The player shall examine his cards for the maximum number of sets of eight points he can created. A set can be of any number of cards, including one. If there are mutliple ways to create the same number of sets, then the player should go with the way using the greatest number of cards.
  6. The player must either fold or raise with an In to Win bet. The In to Win bet must be equal exactly to the Ante bet.
  7. If the player raised, then he should set his cards into two groups — One consisting of cards that are part of a group of eight and the other of the leftover cards, which are called the Side Cards. Otherwise, the dealer will collect the Ante bet.
  8. After the players have made their decisions, unless all of them folded, then the dealer shall check his hand for at least one natural eight card or a joker. The dealer needs at least one eight or joker to qualify. If the dealer does not qualify, then the Ante is paid 1 to 1 and the In to Win bet shall push.
  9. If the dealer does qualify, then he shall set his hand. As with the player, the dealer's objective is to maximize the number of sets of eight points. If this can be accomplished multiple ways, then the dealer will strive to minimize the number of Side Cards while still maximizing the number of sets.
  10. The player and dealer hands shall then be compared, the one with the great number of sets of eight points shall win. In the event the number of sets is the same, then the one with the fewest Side Cards shall win.
  11. If the player wins, then the Ante and In to Win bets shall pay 1 to 1.
  12. If the dealer wins or ties, then the Ante and In to Win bets shall lose.
  13. The Lucky 8's bet is adjudicated according to the number of natural 8's in the player's hand (eights or jokers). The dealer's hand does not matter and the Lucky 8's bet is adjudicated whether or not the player raises or folds.

Lucky 8's Pay Table

Natural 8's Pays
8 1000
7 500
6 250
5 40
4 5
3 2
2 1
1 Loss
0 Loss

Here is the rack card. Click on either image for a larger version.


Strategy


The strategy is based on the number of 8-point sets the player can make and Side Cards, as follows:

  • 1 or less sets: Always fold.
  • 2 sets: Raise with two or less Side Cards, otherwise fold.
  • 3 or more sets: Always raise.

Analysis


Lucky

The following table shows the probability and return of all possible outcomes of the Ante bet. The lower right cell shows a house edge of 2.03%.

Ante Analysis

Event Pays Probability Return
Player wins 2 0.292848 0.585696
Dealer doesn't qualify 1 0.205732 0.205732
Player folds -1 0.191118 -0.191118
Tie -2 0.064209 -0.128419
Dealer wins -2 0.246093 -0.492186
Total 1.000000 -0.020294

Under optimal strategy, the player will raise 80.9% of the time, for a total average bet of 1.809 units. That makes the Element of Risk, the ratio of the expected loss to average total bet, 2.03%/1.809 = 1.12%.

The next table shows the probability and contribution to the return for all possible outcomes of the Lucky 8 bet. The lower right cell shows a house edge of 10.66%.

Lucky 8's Analysis

Natural 8's Pays Combinations Probability Return
8 1000 45 0.000000 0.000008
7 500 6,720 0.000001 0.000585
6 250 323,400 0.000056 0.014077
5 40 6,985,440 0.001216 0.048649
4 5 77,130,900 0.013429 0.067145
3 2 458,377,920 0.079807 0.159614
2 1 1,461,079,620 0.254385 0.254385
1 -1 2,319,174,000 0.403786 -0.403786
0 -1 1,420,494,075 0.247319 -0.247319
Total 0 5,743,572,120 1.000000 -0.106642

Acknowledgement


I would like to thank Score Gaming for their cooperation in the making of this page by supplying to me the math report by GLI. This saved me a lot of time analyzing it myself.

External Links


Discussion of Lucky 8 in my forum at Wizard of Vegas.


Written by:Michael Shackleford

Crazy Eights Rules

Lucky

These are the rules I use for Crazy Eights. They're slightly different from the basic rules shown in the Wikipedia article, but this is how I originally learned it when I was a child (under the name Olsen Olsen).

Lucky 8 Tv

  1. The purpose of the game is to get rid of all your cards.
  2. You can play any card of the same suit as the one at the top of the pile. Example: There's a club at the top of the pile, you can play any club.
  3. You can play any card of the same rank as the one at the top of the pile. Example: There's a six of clubs at the top of the pile, you can play any other six.
  4. You can play two or more cards of the same rank at the same time, but the first one of them must be the same suit or rank as the pile. Example: There's a club on the pile. You can play the 5 of clubs, the 5 of hearts and the 5 of diamonds all at the same time. Do this by selecting the cards (right click or Ctrl+click) on them in the order you want to play them. Once you've selected them, left click on any of them to play all the selected cards at once. If you are playing on an iPad or another tablet you can click a card and hold the finger on it for a second, then it will be selected. Select the ones you want to play together, and then tap on one of them to play them all together.
  5. If you have no card that you can play you can draw up to 3 cards from the deck. You can't draw if you have any cards that you can play in your hand. If you've drawn 3 cards and still can't play you must pass and the next player plays.
  6. You can always play an eight, and then you can change the suit to whatever you want. The game will prompt you for the suit after you click the eight.
  7. If the first card on the table is an eight when you start, then you are allowed to put down any card from your hand.

About Crazy Eights

Lucky 8 Card Game

This online version of the classic card game Crazy Eights was made by me. My name is Einar Egilsson and over there on the left is my current Facebook profile picture! Crazy Eights was one of the first card games I ever learned (under the name Olsen Olsen) and it's also one of the first card games I taught my 5 year old son. After I finished my other online card game, Idiot (a.k.a. Shithead), I wanted to make another card game and Crazy Eights seemed like the obvious choice, especially since I wanted to make a game my son could play by himself.

Card

Lucky 8 Card Game Games

The game is made using html+JavaScript+css with jQuery used for the animations. All the graphics used for the game I found at OpenClipArt, a great site with free graphics. The excellent playing card images were made by Nicu Buculei, and the player images were made by Gerald G.

Any comments, questions, ideas for other games or anything else can be sent to admin@cardgames.io.

This is version 2897 of Crazy Eights.

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