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Analysis of Craps Strategy

The best strategy for craps is combining Pass Line or Don't Pass with Odds Bet. The craps rules of Microgaming software for Internet casino allow bet on Odds maximum the same to Pass or Don't Pass Line bet size. According to these rules, the basic statistics for strategy are :

	Pass Line	Pass Line +Odds	Don't Pass	Don't Pass +Odds
Win Probability,%	49.2929	49.2929	47.9293	47.9293
Tie Probability,%	-	-	02.7778	02.7778
Loss Probability,%	50.7071	50.7071	49.2929	49.2929
Average Bet	1	5/3	1	5/3
Player Edge,units	-0.0141	-0.0141	-0.0136	-0.0136
Player Edge,%	-1.4141	-0.8485	-1.3636	-0.8182
Std Deviance,units	0.9999	1.8930	0.9859	1.5868
Std Deviance,%	99.9900	113.5830	98.5919	95.2060

Indexes for single Pass Line and Don't Pass are in table for comparing with indexes for combined bets.

The next figure shows the distribution of net results after 300 rounds. One round means the game interval from Come Out Roll to roll where bet result is determinated. The initial bet size is 30 units for convenience sake (all payoffs are natural numbers in this case).

Net results distribution after 300 rounds

	Don't Pass + Odds
	Pass Line + Odds

The progress of net win probability up to 3000 rounds is showing on the following figure. The values of probability to have a positive game result after 3000 rounds are : 31.87% for Don't Pass+Odds and 34.10% for Pass Line+Odds.

Progress of Net Win Probability

	Don't Pass + Odds
	Pass Line + Odds