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Chuck a luck

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Chuck a luck is simple dice game that seems close to suffering the fate of the dodo bird. However the game can still be found at the New York New York casino, at least as of February 17, 2001. If you have the desire to bet on the outcome of three dice sic bo is easier to find, especially in the Asian gambling rooms of Atlantic City. The chuck a luck table consists of a shaker, inside of which are three dice, and a table with various betting options. Like the big six wheel the players stand up to play. The table placement suggest it is meant to entice people to make a spur of the moment bet or two as opposed to playing for an extended period of time.

All bets are based on the outcome of the three dice. The player may bet on a single number or any one three proposition bets. If the player bets on a คาสิโนsingle number, five for example, the bet pays 1 to 1 if one five if rolled, 2 to 1 on two fives, and 3 to 1 on three fives. The following table shows the probability of each outcome on the any number beemand the contribution to the total return.

Chuck a Luck – Any Number Bet

Matches Combinations Probability Pays Return

0 125 0.578704 -1 to 1 -0.578704

1 75 0.347222 1 to 1 0.347222

2 15 0.069444 2 to 1 0.138889

3 1 0.00463 3 to 1 0.013889

Total 216 1 -0.078704

Some online casinos pay 10 to 1 on three matches. In this case the house edge would be 4.63%. In general if one match pays x, two matches pays y, and three matches pays z then the house edge is (125-75x-15y-z)/216.

The field bet pays even money if the total is 3 to 7 or 13 to 18. The other two proposition bets are under 10 and over 11. Following is a table showing the house edge on all bets available.

Chuck a Luck – House Edge

Bet House Edge

Any number 7.87%

Field 15.74%

Under 10 25.00%

Over 11 25.00%

Introduction

Catch a Wave is a table game found at Foxwoods in Mashantucket, Connecticut. I have yet to see the game myself but I’ve been asked about it so many times I could ignore it no longer. If anyone finds this game outside of Foxwoods I would be interested to know where, especially if in Nevada.

Rules

The game is played with eight standard decks of cards. Cards are ranked according to their poker value, except aces are always high. The suit does not matter. Play starts with the player making a wager. Next the player and dealer each receive one card, both face up. At this point the player must either hit or stand. If the player hits he must indicate whether the next card will be higher or lower than the first one. If the player hits and his call is incorrect or the are cards equal in value then the player loses and his wager and cards are immediately collected. If the player’s call is correct he again has the option to stand or hit. If he hits he again must indicate if the next card will be higher or lower than the last one. This process repeats until the player either makes an incorrect call, stands, or successfully hits six times. If the player does hit correctly six times (catching a wave) then he automatically is paid 6 to 1 on his original wager.

After all players have taken a turn and assuming at least one bet is still active the dealer will then play his hand in a similar manner but according to predetermined rules. The card dealt to the dealer at the beginning shall be the dealer’s first card. If this first card is 7 or less the dealer must call higher. If the first card is 8 or more the dealer must call lower. In the event the dealer calls incorrectly or the cards match all player bets that are still active win and pay 1 to 1. After this first hit the dealer will call higher on 4 or less, stand on 5 to 10, and call less on jack or higher. The dealer will keep repeating this until he either stands or makes in incorrect call. Unlike the player there is no automatic win or stop at six cards for the dealer.

If the dealer makes an incorrect call then the player is paid 1 to 1 if he is still in the game. Otherwise if the player and dealer have both stood then the total number of hits is compared. If the dealer has more hits then the dealer wins. If the number of hits is equal to the dealer then the bet is a push. If the player has more hits then the player wins by a multiple of the difference between the player’s total and the dealer’s total. For example if the player hit 5 times and the dealer 2 times then the player would be paid 3 to 1.

Strategy

The following table shows when the player should stand according to the dealer’s first card and number of prior successful hits. If the player should not stand then obviously he should call “higher” with a card lower than the stand range and “lower” with a card higher than the stand range. For example if the dealer is showing a 5 and the player has already had 3 successful hits then the player should stand on 6 to 10. If the table says “none” then the player should always hit, even with an 8. If the player should hit an 8 then he should use the cards seen on the table to determine whether the remaining deck has more high or low cards, and hit accordingly.

Player’s Stand Range

Dealer’s

Card 0 hits 1 hits 2 hits 3 hits 4 hits 5 hits

2 none 8 7-9 6-10 6-10 7-9

3 none 8 6-10 6-10 6-10 7-9

4 8 7-9 6-10 5-J 6-10 8

5 7-9 6-10 6-10 6-10 7-9 8

6 5-J 6-10 5-J 6-10 7-9 8

7 4-Q 5-J 5-J 6-10 8 none

8 4-Q 4-Q 5-J 6-10 8 none

9 4-Q 5-J 5-J 6-10 8 none

10 5-J 6-10 5-J 6-10 7-9 8

J 7-9 6-10 6-10 6-10 7-9 8

Q 8 7-9 6-10 5-J 6-10 8

K none 8 6-10 6-10 6-10 7-9

A none 8 7-9 6-10 6-10 7-9

House Edge

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