Dice Game: Beat the Dealer

Rules of Beat the Dealer

• The player makes a wager.
• The dealer will roll two dice and add the results together.
• The player will roll two dice if the dealer does not roll a 12.
• If the player's total exceeds the dealer's total, the player's wager is paid off at even money.
• The player's stake will be lost if the dealer's total is greater than or equal to the player's total.

Rolling against a dealer 12 would be a waste of time because it would be impossible to win.

Analysis of Beat the Dealer
The possible results are listed in the table below. The house edge in the lower right cell is 11.27 %.

EVENT	PAYS	PROBABILITY	RETURN
Win	1	44.37%	44.37%
Loss	-1	55.63%	-55.63%
Total		100.00%	-11.27%

Beat the Dealer's house edge of 11.27 % is pretty significant for a rapid even-money game. Here's a graphic displaying the house edge of other money bets from different games to illustrate the idea further.

Comparison of Even Money Bet
GAME	BET	HOUSE EDGE
Baccarat	Player	1.24%
Roulette (European)	Red, black, etc.	1.35%
Craps	Don't pass, don't come	1.36%
Craps	Pass, come	1.41%
Roulette (single zero)	Red, black, etc.	2.70%
Sic Bo	Low, High	2.78%
Two Up	Heads	3.13%
Roulette (double zero)	Red, black, etc.	5.26%
Big Six	$1	11.11%
Boule	Red, black, etc.	11.11%
Beat the Dealer	Beat the Dealer	11.27%