Chuck-a-luck

Chuck-a-luck, also known as birdcage, is a game of chance played with three dice. It is derived from grand hazard, and both can be considered a variant of sic bo, a popular casino game, although chuck-a-luck is more of a carnival game than a true casino game. The game is sometimes used as a fundraiser for charity.

## Rules

Chuck-a-luck is played with three standard dice that are kept in a device shaped somewhat like an hourglass that resembles a wire-frame bird cage and that pivots about its centre. The dealer rotates the cage end over end, with the dice landing on the bottom.

Wagers are placed based on possible combinations that can appear on the three dice. The possible wagers are usually fewer than the wagers that are possible in sic bo and, in that sense, chuck-a-luck can be considered to be a simpler game.

The wagers, and their associated odds, that are typically available are set out in the table below.

Type Wager Odds
Single Dice Bet A specific number will appear 1 die, 1 to 1; 2 dice, 2 to 1; 3 dice, 10 to 1 (sometimes 3 to 1)
Any Triple (sometimes offered) Any of the triples (all three dice show the same number) will appear 30 to 1
Big (sometimes offered) The total score will be 11 (sometimes 12) or higher with the exception of a triple 1 to 1
Small (sometimes offered) The total score will be 10 (sometimes 9) or lower with the exception of a triple 1 to 1
Field (sometimes offered) The total score will be outside the range of 8 to 12 (inclusive) 1 to 1

Chuck-a-luck is an unequal game of chance. That is, on average, even if the dice are not loaded, the players are expected to lose more than they win. The casino's advantage (house advantage or house edge) is greater than most other casino games and can be much greater.

For example, there are 216 (6 x 6 x 6) possible outcomes for a single throw of three dice. For a specific number:

• there are 75 possible outcomes, where one die only will match the number;
• there are 15 possible outcomes, where two dice only will match; and
• there is one possible outcome, where all three dice will match.

At odds of 1 to 1, 2 to 1 and 10 to 1 respectively for each of these types of outcome, the expected loss as a percentage of the stake wagered is:

1 - [(75/216) * 2 + (15/216) * 3 + (1/216) * 11] = 4.6%

At worse odds of 1 to 1, 2 to 1 and 3 to 1, the expected loss as a percentage of the stake wagered is:

1 - [(75/216) * 2 + (15/216) * 3 + (1/216) * 4] = 7.9%

It should be noted that if the odds are adjusted to 1 to 1, 3 to 1 and 5 to 1 respectively, the expected loss as a percentage is:

1 - [(75/216) * 2 + (15/216) * 4 + (1/216) * 6] = 0%

## Variants

• A version of the Big Six wheel is loosely based on chuck-a-luck, with various combinations of three dice appearing in 54 slots on a spinning wheel. Because of the distribution of the combinations, the house advantage or edge for this wheel is greater than for chuck-a-luck.
• Chuck-a-luck is essentially identical to the traditional Vietnamese game Bau cua ca cop.
• The games C 3; Chuck A Luck and C 9; Chuck A Luck use the numbers 1-3 and 1-9 (respectively) as the computer does not know how many faces a die has.

## Notes and references

Wikimedia Foundation. 2010.

### Look at other dictionaries:

• chuck-a-luck — ☆ chuck a luck [chuk′ə luk΄ ] n. [< CHUCK1 + LUCK] a gambling game in which players bet on the way three dice, contained in an hourglass shaped cage, will fall when the cage is pivoted …   English World dictionary

• Chuck-a-luck — Ein Krone und Anker Würfel Spielplan für Krone und Anker …   Deutsch Wikipedia

• Chuck a Luck — Ein Krone und Anker Würfel Spielplan für Krone und Anker …   Deutsch Wikipedia

• chuck-a-luck — /chuk euh luk /, n. a game played with three dice at which the players bet that a certain number will come up on one die, that the three dice will total a certain number, or that the total will be an odd number, even number, a high number, or a… …   Universalium

• chuck-a-luck — ˈchəkəˌlək noun also chuck luck ˈ ̷ ̷ˌ ̷ ̷ Etymology: probably from chuck (III) (throw) + connective a + luck : a banking game played with three dice in which players bet that a certain number will appear on one or more of the dice, that the sum… …   Useful english dictionary

• Chuck Luck — Ein Krone und Anker Würfel Spielplan für Krone und Anker …   Deutsch Wikipedia

• chuck-luck — variant of chuck a luck * * * chuck luck «CHUHK LUHK», noun. = chuck a luck. (Cf. ↑chuck a luck) …   Useful english dictionary

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