Editing Chuck-a-luck (section)

===House advantage or edge===
Chuck-a-luck is a [[gambling|game of chance]]. On average, 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 certain wagers. According to [[John Scarne]], "habitual gamblers stay away from Chuck-a-Luck because they know how little chance they have against such a high [house edge]. They call Chuck-a-Luck 'the champ chump's game.{{'"}}<ref name=Scarne74/>{{rp|101}}

For the single die bet, there are 216 (6 × 6 × 6) possible outcomes for a throw of three dice. For a specific number:

* there are 75 possible outcomes where only one die will match the number;<!-- Note that "dice" is plural, the  singular being "die"; do not "correct" this, as you would actually be introducing a grammatical error -->
* there are 15 possible outcomes where two dice will match; and
* there is one possible outcome where all three dice will match; and so
* there are 125 possible outcomes where no die will match the number.

At payouts 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 more disadvantageous payouts 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%

If the payouts 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%

Commercially organised gambling games almost always have a house advantage which acts as a fee for the privilege of being allowed to play the game,<ref name=Scarne74/>{{rp|55}} so the last scenario would represent a payout system used for a home game, where players take turns being the role of banker/casino.