You Can't Shine a Cow-Patty or CAN You?
Part Two
For some players, it takes a paradigm shift to go from what they thought they knew about the game back when they were random-rollers, to what they know now as advantage-play Precision-Shooters.
I'll give you an example.
Most every craps book on the market paints the Field-bet as a bad wager.
For random-rollers, the house holds a 5.56% advantage over them. Even in casinos where the Field-12 gets paid at 3:1, the house-edge is still 2.78%.
Though the Field covers seven numbers (2, 3, 4, 9, 10, 11 and 12), and there are 16-out-of-36 random-outcomes which cover them; it is the other non-Field numbers (5, 6, 7, and 8) with their 20-out-of-36 random-occurrences that validates that bad bet designation for random shooters.
However, knowledgeable Precision-Shooters have long understood that profitable dice-influencing is all about overcoming the house-edge and actually turning it into a players advantage.
So the question becomes, Can it be done on the Field, and if so, how good of a shooter do you have to be to make the Field-bet profitable?
The answer is, Yes, it can be done, and it only takes very modest dice-influencing skills to do it.
The X-6 Set / Field-Bet Combination
For most intermediate-skilled X-6 set shooters, the biggest frustration is dealing with all the non-paying trash numbers that the Crossed-Sixes set throws off during a hand.
For me, I see that X-6 set frustration more as a superb profit-making opportunity.
What if you could use the Field-bet as your MAIN wager and your MAIN dice-influencing income source?
What if you could use the non-Field 5, 6, and 8 outcomes simply as supporting cast members who prop up the use and utility of your Field income without unduly diluting it?
If you knew the Field-bet could produce outstanding returns even at a low on-axis percentage, would you consider using it?
Defining Your Advantage
Suppose for a moment that you were able to generally keep the X-6 dice-set on-axis about 55% of the time.
Is that good enough to justify going up against such a high-vig bet like the Field?
Lets have a look:
I want to thank ACDOC and Maddog for graciously providing the graphs you see here.
The left-most bars on this graph represent a random-roller. The first thing you'll see is that no matter what bet he makes, the expectation remains on the negative-side of the earnings line.
The first real glimmer of hope is when either a worse-than-random or better-than-random axial-maintenance starts to take hold.
Not surprisingly, the first bet that even starts to make sense for the X-6 user is the Field-bet.
You'll notice too that the Field-bet is the ONLY right-side bet in that group which makes sense for the X-6 user until he reaches the 55% on-axis level of consistency. Up until that point, all of the other traditional bets like the Pass-Line, Come-wagering and Place-betting, ALL remain in negative-expectation territory.
Now the first thing that comes to my mind is, If your on-axis percentage ISN'T 55% or better; then why the heck are you still using the X-6 dice-set?
However, the second thing that comes to my mind when I look at this chart is, Why the heck is everyone in the dice-influencing community so down on the Field-bet especially in light of the fact that so many people blindly follow the X-6 set use, but they dont capitalize on its very strengths?
Its only after I am able to compose myself at the seeming incredulity of the situation that I get to my third thought about the X-6 users who have achieved around the 55% O/A threshold, and that is:
There are incredible amounts of money to be made DIRECTLY off of the Field and any other bets (with the exception of straight up Prop-bets on the 2 and 12) are merely supporting cast members or bankroll-sucking leaches that actually reduce your profit-rate.
Now, let's see if my rant was worth all that trouble
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The first thing that should jump right out at you is the fact that at a low axial-maintenance (even as low as 30%); the Field-bet is the only wager in that bunch that is STILL profitable even if you never ever get past the 55% on-axis proficiency mark.
If a 55% O/A X-6 shooter can steadily benefit from the Field; can the other 45% of his OFF-axis outcomes also contribute anything useful?
Let's find out
Outcome-Distribution Dictates Bet-Decisions
To decide where and how much of your wagering-weight should be placed on any bets, your distribution of outcomes should be the sole dictator in that process.
That is:
YOUR dice-set distribution-results (as opposed to random-expectancy) dictates where YOUR money should be bet.< /p>
Let's assume for a moment that you are able to keep your dice on-axis about 55% of the time. Though that means that they'll be going OFF-axis the other 45% of the time; it does not mean that they are wasted rolls.
Instead, we know that you'll still have some off-axis Signature Outcomes simply because, even though the dice sometimes do go off-axis, the two dice often still remain in correlation. For a full discussion on correlation, please see Shooting Bible #11.
Correlated Signature Outcomes is why you'll often see the same roll-results even when one of your die does go off-axis.
In the end though, those same irritating off-axis toss-defects, can still enable and permit even more tangible profit to be derived from what appears to be a dice-influencing shortcoming.
Let me give you an assumptive example with the Crossed-Sixes (X-6) set:
On-Axis Outcomes: 55%
which are comprised of
Primary-hits: 16%
Double-Pitches: 7%
Single-Pitches in either direction: 32%
Off-Axis Outcomes: 45%
which are comprised of
One-die off-axis 34%
Both Dice off-axis 11%
The first thing I can tell you about this, is that it achieves a Sevens-to-Rolls Ratio of over 1:8 DESPITE the fact that the dice are only kept on-axis 55% of the time.
The second thing I can tell you, is that with modestly-influenced roll-stats like these, the Field-bet becomes a no-brainer champion by racking up a stunning 11.25% advantage over the house.
Take a look at the numbers that correspond with those above-noted axial-outcome percentages, and then well discuss how to really put a shine on this lowly-regarded Field-bet cow-patty:
Outcome |
Number of combinations |
Random Probability |
X-6 set 55% O/A |
2 |
1 |
2.78% |
4.00% |
3 |
2 |
5.56% |
6.13% |
4 |
3 |
8.33% |
8.25% |
5 |
4 |
11.11% |
12.88% |
6 |
5 |
13.89% |
12.75% |
7 |
6 |
16.67% |
12.00% |
8 |
5 |
13.89% |
12.75% |
9 |
4 |
11.11% |
12.88% |
10 |
3 |
8.33% |
8.25% |
11 |
2 |
5.56% |
6.13% |
12 |
1 |
2.78% |
4.00% |
Total |
36 |
100% |
100% |
A random-roller can expect to see a Field-number about 44.44% of the time, while non-Field outcomes account for the other 55.56% of random appearances.
By subtly affecting the dice-distribution expectancy through dice-influencing, our 55% on-axis X-6 shooter achieves a significantly better set of outcomes where hell see a Field-number about 49.62% of the time and a non-Field outcome about 50.38% of the time.
At first glance, those are not huge differences in expected outcomes. However the fact is, you don't have to be a perfect-thrower to derive an exploitable edge over the house; but you DO have to bet your advantage correctly, otherwise your skills are almost entirely wasted.
The Bottom Line
When you combine those on-axis outcomes with the off-axis ones, you start to get a more complete picture of where your strongest and most compelling betting-opportunities are found, and frankly, where the preponderance of your betting-weight should be placed.
So what does all this mean in terms of this players advantage over the house?
Have a look for yourself:
Type Of Bet |
Player Advantage |
Edge per roll on Place 6 or 8 |
2.88% |
Edge per roll on Place 5 or 9 |
6.03% |
Edge per roll on buy 4 or 10 |
4.09% |
Edge per roll on Field bets, triple on 12 |
11.25% |
Edge per roll on 2 or 12 |
20.00% |
Edge per roll on 3 or 11 |
-8.13% |
At the top of the advantage-play heap stands the 2 and 12. Now normally, this Prop-wager has a house-edge of 13.889%, but for the X-6 shooter who has reached an easily achievable 55% O-A skill-level; he not only overcomes that nearly 14% house-edgebut he actually puts his own shooting into the drivers seat with a positive 20% advantage over each of those traditionally disparaged 2 and 12 Crazy Crapper bets. That's a 35% change in course from the hands of a decidedly moderately skilled shooter.
In descending order, the Field-bet comes in as his next strongest bet. Again, this wager is traditionally frowned upon because of its 5.56% house-edgebut thats for random-rollers. For dice-influencers with the modest skill-set that we've been discussing, that house-edge is pared right down to nothing and comes out on the positive side for the player to the tune of an 11.25% advantage on a downtown-odds table.
Keep in mind that advantage-blackjack players start to wet their panties if the edge climbs anywhere close to 2% or 3%, so an 11.25% player-edge would make them downright wacky, but many craps veterans still can't get over the psychological hump of making an advantage-bet that their tablemate-friends might frown upon. Well-intentioned peer-pressure often keeps many skilled players from earning their rightfully deserved profit.
In this scenario, even the normal 4% house-edge on the 5 and 9 Place-bets gets reversed into a player-advantage of over 6%, while the normal 4.76% cost of buying the 4 or 10 turns into the players favor to the tune of 4%.
Keep in mind that we are not discussing perfect-world scenarios here. We are talking about an unexceptional on-axis proficiency of 55%, and an even more modest 16% primary-face hit-rate.
Each of those negative-to-positive expectancy reversals are so significant that a savvy player cannot ignore them or eschew them simply because a couple of writers who don't know preferred-stock from livestock and don't understand how a dice-influencer can maximize his profit without following gambling dogma that is a hold over from the Dark Ages, said that the Field-bet is a bad thing.
It IS a bad thing for random-rollers, but in the unassuming hands of an intermediately-skilled dice-influencer, the Field-bet can be downright lucrative.
Instead of blindly following worn-out gambling decrees and age-old doctrine that was designed for the world of randomly-thrown outcomes; the astute dice-influencer has to look at his current abilities and honestly ask himself if he is extracting the maximum possible profit from each of the bets that he is making. I am talking about using exactly THE SAME bet-levels that you are comfortable with now, but simply redeploying that same money on bets that will serve your current skill-level most equitably.
Many players are shocked to discover that they have been unfairly retarding their D-I earnings simply because some wagers like the Field are saddled with a ladies bet label or an inner-city-bettors-only stigma.
Grow up, get real, and put your money where it will serve your current skills the best.
Oh, and one other thing. Those on-axis and off-axis stats that we just reviewed, well you may be surprised to learn that they give that 55% O/A X-6-set shooter an SRR of 8.33. Not too shabby for a modestly-skilled player who is off-axis about 45% of the time.
So, Can You Shine THIS Field-Bet Cow-Patty?
Yer darn tootin you can!
I hope you'll join me for Part Three of this series when we take this little filly for a hard ride around the casinos Field-bet meadow. You may be surprised at how quickly she can gallop to a full and sustained profit.
Until then,
Good Luck & Good Skill at the tablesand in Life
Sincerely,
The Mad Professor
copyright 2006