**"Can you change dice-sets or permutations to get a better set of Off-Axis Dominants without adversely affecting your On-Axis Signature-Numbers too much?"**

The more I thought about this question…the *shorter* the answer became.

The quick answer is, ** YES** you can.

The easiest and simplest way to do it is to let the dice-set permutation tabs in Maddog’s

**do all of the work for you.**

*BoneTracker*However, if you are a player who wants to gain a more thorough understanding of the

**and**

*why’s***of your advantage, as well as the**

*wherefore’s***,**

*how’s***, and**

*when’s***of your edge over the casino; then it takes a little more investigation.**

*where’s***Understanding our Influence**

When we look at the amount of impact, effect, and suasion our dice-influencing efforts have over the dice; it also makes a lot of sense to look at how much of that influence is contributed by any of our

**outcomes as well. Our friend Maddog calls that kind of combined on-axis and off-axis facial-correlation, our individual “**

*off-axis***” (**

*Pattern of Influence***).**

*POI*For example, when one or the other die goes off-axis, there are 16 possible outcomes. All things being equal in a randomly-thrown world, all sixteen possible outcomes would each have an equal 6.25% chance of showing up within that grouping (and each of those sixteen possible off-axis outcomes would have an equal 2.77% chance of showing up within the

*total*36 possible outcomes grouping).

When we start influencing the dice however, we find that certain facial outcomes occur

*more*often than randomly expected, while there are others that show up significantly

*less*often than randomly-expected.

That is where a significant amount of our influence over the dice can be found.

Okay, so when you study your roll-stats through Maddog’s BoneTracker and you notice that a couple of your one-die off-axis outcomes dominate and outperform their expected appearance-rate...but that specific number isn’t to your liking; what can you do about it?

For example, let’s say that one of your one-die off-axis dominants while using the V-3 set is a

**ODOA**6/6 12-Midnight outcome.

Can you change dice-sets or use a permutation of the same-set to get a better choice Off-Axis Dominants without adversely affecting your On-Axis Signature-Numbers too much?

I say you can.

By custom-tailoring your set-permutation to match the Foundation Frequencies of your current toss-dynamics, you can often get a better choice

**without adversely affecting your**

*Off-Axis Dominant***.**

*On-Axis Signature-Numbers*In fact, while using BoneTracker, you will often find that a slight change in dice-set permutation will bolster and strengthen your edge over the house solely because your

*new*off-axis dominant is now supporting your already-strong on-axis numbers.

Many players try to do this based strictly on what they like to call "gambler's intuition" instead of relying on a strong analytical tool like BoneTracker. Unfortunately, in most cases they are doing themselves a bit of a

*disfavor*simply because they mostly 'trade' one good number for another...while their overall edge stays the same...or even

*declines*.

The other problem of course is that many players shy away from certain dice-sets because they have ingrained an erroneus and dogmatic mistrust of some set choices...despite the overwhelming evidence that it would best serve their current throwing style toss-dynamics.

In either case, they are severely limiting their profit potential because they are limiting their thinking to something that comfortably fits within a narrow and restrictive code of belief...but results in bettable-outcomes that are nowhere near as profitable as they could be.

Let’s find out why.

**The Source of Your Advantage**

I think it is illuminative to look at how each of the Foundation Frequency categories are structured.

**Primary-face**hits...there are

**possible outcomes.**

*4***Single-pitched**hits...there are

**possible outcomes.**

*8***Double-pitched**hits...there are

**possible outcomes.**

*4*Those three F-F categories account for all possible on-axis outcome possibilities.

**One-Die Off-Axis**hits...there are

**possible outcomes.**

*16***Both Dice Off-Axis**hits...there are

**possible outcomes.**

*4*Those two F-F categories account for all possible off-axis outcome possibilities.

Combined, those five Foundation Frequency categories account for each and every possible outcome.

Of the

*randomly-tossed*

**ON**-Axis possibilities, the Primary-faced hits equal Double-pitched possibilities.

In the hands of a

*dice-influencer*, the objective is to increase the number of hits in one category while decreasing the amount of hits in the other. The greater the difference between those two numbers; the greater that shooters exploitable edge. So all other things being equal, the greater the ratio between P-F hits and D-P hits, the greater that players advantage.

On-Axis Single-pitched possibilities are double both the single-pitch and double-pitched possibilities because a die can be single-pitched either forward or backward by one die face (or triple-pitched if you will). So when we look at the single-pitched results, they will usually be around double the amount of primary-faced or double-pitched outcomes, but not necessarily so.

In a random game, you can expect

**primary-faced outcomes,**

*11.1%***single-pitched outcomes,**

*22.2%***double-pitched outcomes,**

*11.1%***one-die off-axis outcomes, and**

*44.4%***both-dice off-axis outcomes.**

*11.1%*Dice-influencing exploitability comes from

**difference**

*ANY***or**

*ABOVE***random-expectancy.**

*BELOW*Let me repeat that again because many people don't really understand how edge is gained in this game, and so they just look at one category like total On-Axis outcomes and say, "

*Sheeet, this D-I thing don't work*", yet if they looked a little deeper, they would see that they have created quite a huge edge for themselves...only it isn't in the

**that they are currently looking.**

*OBVIOUS spot*Again, dice-influencing exploitability comes from

**difference**

*ANY***or**

*ABOVE***random-expectancy.**

*BELOW***In an Ideal World**

In a perfect-world casino our off-axis dominants would produce a nearly-identical number of bettable-outcomes as our on-axis results do. In fact in an ideal world, those off-axis dominant numbers would perfectly mirror the same on-axis Signature Numbers where we are currently showing a positive-expectation advantage.

Unfortunately though we play in a real-world environment that is hardly ever ideal. In that case we have to do a little extra work to figure out which dice-set permutation would optimize our blend of on-axis Signature-Numbers with our off-axis dominants.

**In a Not-So-Ideal World**

Let’s think back to the randomly-expected Foundation Frequencies:

In a random game, you can expect

**primary-faced outcomes,**

*11.1%***single-pitched outcomes,**

*22.2%***double-pitched outcomes,**

*11.1%***one-die off-axis outcomes, and**

*44.4%***both-dice off-axis outcomes.**

*11.1%*That means that a random-roller will keep the dice on-axis about

**of the time, and the other**

*44.44%***of the time, they will be off-axis.**

*55.56%*When we start out on our dice-influencing journey, we try to keep the dice on-axis a little more than randomly-expected by setting their primary-faces to the outcomes that we hope to achieve. Our

*rate-of-success*varies of course just as our individual

*rate-of-improvement*varies too.

As I said a moment ago, the one over-riding thing that we have come to know, is that dice-influencing exploitability comes from

**difference**

*ANY***or**

*ABOVE***random-expectancy.**

*BELOW*That simply means that if we are able to produce results that are either

*above*random-expectancy or

*below*it; we can exploit that difference and make money from it.

How much money we make from exploiting that difference comes from how we

**that tiny difference above or below random.**

*BET*Unfortunately, if we try to do all of those calculations based on intuition and instinct (where we eschew the math, and instead go with our gut); we often end up with a very imperfect blend of bets that don't fully capture our edge in an altogether profitable sort of way.

That is, we often end up with a blend of bets where some are net-profitable, while others are net-deficient. If you bet with your

*gut*instead of a

*fully-informed brain*, those interlaced pos-ex and neg-ex bets will almost always produce far less net-profit than if your bets were properly synchronized with your current combined on-axis Signature-Numbers and Off-Axis Dominant pattern-of-influence.

Fortunately, we have an ideal tool which perfectly synchronizes our

*on-axis*S-N’s with our

*off-axis*Dom’s...and let's us custom-configure our dice-set in order to maximize our edge over certain target bets.

Let’s find out how.

**Let Your Fingers do the Walking**

So how do we custom-tailor our set-permutation to match the Foundation Frequencies of our current toss-dynamics in order to get a better choice Off-Axis Dominants without adversely affecting your On-Axis Signature-Numbers?

This one is easy.

Maddog’s unsurpassed

**looks at face-control correlation and our individual Pattern of Influence, and shows in graphic detail which set-permutation will give us the strongest, most-compelling edge over the house.**

*BoneTracker w/DiceTool*So even when one or both of our dice go off-axis, but do so in a fairly predictable percentage-toss sort of way, the Foundation Frequencies that make up our Pattern of Influence are sorted, filtered, and purified by BoneTracker in such as way that the end result is that we can clearly see which dice-set permutation gives us the best edge over a given set of bets...and by doing so, you get a better set of Off-Axis Dominants whose only effect on your On-Axis Signature-Numbers is to bolster and strengthen your current edge.

However, if you

*aren’t*using BoneTracker to figure it out or you aren’t a math-wiz; then don’t count on your ‘gambler’s intuition’ to do anything else but reinforce money-losing false notions which highlight outmoded “

*I-won’t-use-certain-dice-sets-no-matter-how-much-money-I-could-win-with-them*” superstitious sentimentalities.

**Smart players use BoneTracker to track their edge and determine their best bets.**

Advantage-players use BoneTracker to

Advantage-players use BoneTracker to

*increase*their current edge by custom-tailoring their dice-sets.As always,

**Good Luck and Good Skill at the Tables…and in Life.**

*The Mad Professor*Copyright © 2007-2008