Index of House Edge

Game	Bet/Rules	House Edge	Std Deviation
Baccarat	Banker (-5%)	1.06%	0.93
Zero Baccarat	Banker (-2.75%)	0.026%	0.93
Baccarat	Player	1.23%	0.95
Baccarat	Tie (8/1)	14.35%	2.64
Baccarat	Tie (9/1)	4.57%	2.64
Blackjack	Various (a)	0-2%	1.17
Zero Blackjack	See Rules	0%	1.17
Caribbean Poker	Standard (b)	5.22%	2.24
Craps	Pass/Come	1.41%	1.00
Craps	Dont Pass/Dont Come	1.40%	0.99
Craps	Field (2/1)	5.56%	1.08
Craps	Any Craps	11.11%	2.51
Craps	Big 6/8	9.09%	1.00
Craps	Hard 4/10	11.11%	2.51
Craps	Hard 6/8	9.09%	2.87
Craps	Place Win 6/8	1.52%	1.08
Craps	Place Win 5/9	4.00%	1.18
Craps	Place Win 4/10	6.67%	1.32
Craps	Place Loose 6/8	1.82%	0.90
Craps	Place Loose 5/9	2.50%	0.80
Craps	Place Loose 4/10	3.03%	0.69
Craps	Craps 2/12	13.89%	5.09
Craps	Craps 3/ Yo 11	11.11%	3.66
Craps	Any 7	16.67%	1.86
Roulette	Single Zero	2.70%	(e)
Zero Roulette	No Zero	0%	(e)
Slot Machines	Various (c)	5-20%	3.14(f)
Video Poker	Various (d)	0-5%	4.42
Zero Video Poker	See Rules	0%	4.42

Notes:

(a) Rule variations influence the house edge. See Blackjack section for more details.

(b) This excludes playing the Jackpot bet in Caribbean Poker.

(d) Various payouts influence the House Edge. See Video Poker section for details.

(e) Standard deviation depends on bet made.

(f) Standard deviation varies from Casino to Casino and from machine to machine.

House Edge:

The House Edge is defined as the ratio of the average loss to the initial bet. It is not the ratio of money lost to total money wagered. This is important in games like Blackjack and Caribbean Poker, where the player is allowed to increase his bets in certain situations where the odds favour them. In these two cases the additional money bet is not figured into the denominator to calculate the House Edge. In the other games the House Edge does give a reliable way of calculating the element of risk involved with each bet.

The risk can be calculated using the following formula:

Average money lost = Bet x House Edge

Example: In Baccarat a player playing $100/bet on Banker can expect to lose $1.06 per bet on average.

A general rule here is this:

The lower the house edge of a bet the lower the player risk involved.

Standard Deviation:

The standard deviation is a measure of how volatile your bankroll will be playing a given game. This statistic is commonly used to calculate the probability that the end result of a session of a defined number of bets will be within certain bounds.

The standard deviation of the final result over n bets is the product of the standard deviation for one bet and the square root of the number of bets made in the session.

Example: In Baccarat playing 49 Banker bets at $100 each the following standard deviation can be expected.

Standard deviation for one bet x square root of 49

0.93 x 7 = 6.51

The probability that the session outcome will be within one standard deviation is 68.26%, within two standard deviations is 95.46% and within three standard deviations is 99.74%.

In the Baccarat example the player has a 68% chance of being between $650 up or down. There is a 95.46% chance of being between $1300 up or down. There is a 99.74% chance of being between $1950 up or down.

In all above scenarios it is assumed that the bet remains the same.

A general rule here is this:

The higher the standard deviation is the more volatile the changes of your bankroll can be for a particular bet.