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If you’re confused by the Craps table, you’re not alone. It’s actually really easy to grasp, but the overall layout and the chaos at the Craps table makes newbies feel overwhelmed. In previous posts, we’ve told you to stick to one or two bets. But if you’re getting bored with that, you might want to employ a betting strategy. And the Iron Cross is one of the best strategies in the book.

Iron Cross is great if you’re a seasoned player looking for bigger gains, but it can also help steer new players in the right direction. Once you figure out how this strategy works (and don’t worry, we’ll walk you through it), feel free to practice at Palace of Chance.

Even I don't think I'm Iron Man. Pepper Potts: You're not Iron Man. Tony Stark: Am so. Pepper Potts: You're not. Tony Stark: All right, suit yourself. You know, if I were Iron Man, I'd have this girlfriend who knew my true identity. She'd be a wreck, 'cause she'd always be worrying that I was going to die, yet so proud of the man I'd become. Definition of - senses, usage, synonyms, thesaurus. Online Dictionaries: Definition of Options Tips Options Tips.

Iron Cross The Craps Coach is a small, professional business that is committed to growing the game of craps by helping all ranges of craps players learn and hone their craft. From beginners and learning the lingo, to experienced players, The Craps Coach is the one stop shop for perfecting your game. I have a question about a series of bets in craps. The strategy is called the 'Iron Cross.' It involves a bet on the 5, 6, 8, and the field. I read up on this, and found that this particular bet will pay on every roll that is not a 7. I was told that this gives you the lowest house edge. Basic Gist: Anything but 7 with a Pass Line Bet. Max Loss: $44 (Have to have at least 1 place bet hit to minimize losses. Don’t use if lots of sevens showing) Buy in at a $5 table for at least $200. Make a $5 pass line bet. Whatever the point, back it up with double odds.

For the Iron Cross Strategy to work, you’ll need to be comfortable placing more than one bet at the same time. If you’re familiar with betting on multiple areas of the Roulette table, Iron Cross isn’t all that different. You’re basically spreading your bet, but the payout potential can be impressive. That said, you must also be comfortable losing a hefty chunk of change. If you’re not comfortable with the possible swings in both directions, we recommend you stay away. But if you like to win big when you do and minimize your losses, Iron Cross might just be the best bet you can make.

All about the Iron Cross System

Many casinos today pay double on a field bet when you roll a pair of Aces and pay out triple when you roll a 12. That’s better than the even money they used to hand out a half-century ago, which makes the Iron Cross Craps System even more lucrative. More on that in a second. With the increased payouts, the house edge drops on average to 2.78%, but it gets even lower when you involve Iron Cross .

The most important thing to know about Iron Cross is that this betting system doesn’t just involve a bet in the field area of the Craps table. It also involved placing a bet on 5, 6, and 8 simultaneously. With this combination of bets, you’re covering almost every possible roll with the exception of 7. That’s because field wins on 2, 3, 4, 9, 10, 11, and 12.

With these numbers, it seems like that you should be able to win every single time. But that’s not the case. Remember the field bet doesn’t lose sometimes because it loses on 5, 6, 7, and 8. That means while you’ll win with a place bet on 5, 6, and 8, you’ll lose your field bet. We’ll show you how to maximize these bets for more winning opportunity.

How to use the Iron Cross System to your benefit

With the Iron Cross system, you’ll place four bets. Here’s a step by step way to make this betting system work for you:

1. Find a Craps table that has a low minimum. Remember, online Craps tables let you wager as little as $1 per bet. And you can even play for free, so there’s technically nothing to lose.
2. For this example, let’s pretend you’re working with a little more than the minimum. Start by placing $5 on the number 5.
3. Then, place a $6 bet on the number 6.
4. Now, place a $6 on the number 8.

You’ve now got $22 committed. If the shooter sevens out, you’ll lose that $22. But here’s the best part. If she rolls any other number besides a 7, you’re actually sitting on a profit.

Remember, if the place bet numbers 5, 6, or 8 end up hitting, you’ll lose that $5 bet on the field but you’ll win $7 on the place bet you made. At this point, you’ll actually be up $2. And if a field number ends up hitting, you’ll win $5 at the very minimum, and more if you hit 2 or 12.

The Iron Cross works in your favor when the dice are hot, though you will end up with a loss if 7 keeps hitting every few rolls. And overall, there’s a house edge of just 2.48% involved when you employ this strategy, which is way better than most other betting systems.

Stay away from Big 6 or 8
To be clear, you want to stay away from a Big 6 or Big 8 bet. The biggest mistake you could make is putting your money down on Big 6 or 8 thinking that you’re covered with your place bets. Never bet on Big 6 or 8. Not when you use this strategy. Not ever, really.

While the word “big” might make you assume that your bankroll is going to see a big boost, that’s not exactly what’s going to happen. The house advantage for Big or 8 hovers around 9%. The house advantage drops significantly when you bet on the actual numbers.

Try Iron Cross now

Ready to put Iron Cross to the ultimate test? Sign up for a free Palace of Chance account. All we need is a few pieces of information to get started. As soon as you’ve got a free account, you can play Craps for as long as you like, without having to risk real money. We’ll set you up with a play-money account, which gets you a bunch of pretend chips. Go ahead and use your free stack to see how well Iron Cross works for you. If you don’t have much luck with it, walk away. No loss, no pain. But if it does work, make that first deposit and you’ll be able to play for real money (and win real cash while you’re at it).

Don’t forget, your account also gets you access to our mobile suite of online casino games on your smartphone and tablet. You can play a variety of table games and specialty games like Blackjack and Roulette, plus many of our latest online slots — all for free or real money.

The Iron Cross is a way of betting the field and place bets to win on any roll of the dice except a 7. The field already covers the 2, 3, 4, 9, 10, 11, and 12. The player will add to that place bets on the 5, 6, and 8 to cover the rest of the numbers, besides 7. The following table shows what the math looks like with a $5 field bet, $5 place bet on the 5, and $6 place bets on the 6 and 8.

Iron Cross

Dice Total	Win	Combinations	Probability	Return
2	10	1	0.027778	0.277778
3	5	2	0.055556	0.277778
4	5	3	0.083333	0.416667
5	2	4	0.111111	0.222222
6	2	5	0.138889	0.277778
7	-22	6	0.166667	-3.666667
8	2	5	0.138889	0.277778
9	5	4	0.111111	0.555556
10	5	3	0.083333	0.416667
11	5	2	0.055556	0.277778
12	15	1	0.027778	0.416667
36	1.000000	-0.250000

The lower right cell of the table shows an expected loss of $0.25. The total amount bet is $22. This makes the overall house edge $0.25/$22 = 1/88 = 1.14%.

At this point you may be wondering how this house edge can be lower than the house edge of each individual bet. The answer is because the house edge of 1.52% placing the 6 and 8 and 4.00% placing the 5 is based on per bet resolved. If define the house edge on place bets on a per roll basis, then the house edge placing the 6 or 8 is 0.46% and on the 5 is 1.11%.

We can get at the 1.14% house edge by taking a weighted average of all bets made, as follows:

($5*2.78% + $5*1.11% + $12*0.46%)/22 = $0.25/$22 = 1.14%.

Be wary of casinos that pay only 2 to 1 for 12 on the field bet. Insist on getting the full 3 to 1. The short pay doubles the house edge on that bet from 2.78% to 5.56%.

As to my opinion, compared to most games, 1.14% is a pretty good bet. However, you could do much better in craps. For example, with 3-4-5x odds, making the pass and come bets, with full odds, you can get the house edge down to 0.37%. Doing the opposite, betting the don't pass and don't come, plus laying full odds, results in a house edge of 0.27%.

While this could be solved with a long and tedious Markov chain, I prefer an integral solution. I explain how to use this method in my pages on the Fire Bet and Bonus Craps.

Imagine that instead of significant events being determined by the roll of the die, one at a time, consider them as an instant in time. Assume the time between events has a memory-less property, with an average time between events of one unit of time. In other words, the time between events follows an exponential distribution with a mean of 1. This will not matter for purposes of adjudicating the bet, because events still happen one at a time.

Per the Poisson distribution, the probability that any given side of the die has been rolled zero times in x units of time is exp(-x/6)*(x/6)⁰/0! = exp(-x/6). Poisson also say the probability of any given side being rolled exactly once is exp(-x/6)*(x/6)¹/1! = exp(-x/6) * (x/6). Thus probability any side has been rolled two or more times in x units of time is 1 - exp(-x/6)*(1 + (x/6)). The probability that all six sides have been rolled at least twice is (1 - exp(-x/6)*(1 + (x/6)))⁶. The probability that at least one side has not been rolled at least twice is equal to:

We need to integrate that over all time to find how much time will go by, on average, where the desired goal has not been achieved.

Fortunately, we can use an integral calculator at this point. For the one linked to, put 1- (1 - exp(-x/6)*(1 + x/6))^6 dx = apx. 24.1338692 in the text box following 'Calculate the integral of' and under custom, set the bound of integration from 0 to ∞.

The answer is 390968681 / 16200000 = apx. 24.13386919753086

This question is asked and discussed in my forum at Wizard of Vegas.

I have a two-part question.

For part 1, given:

• x + y + z = 1
• x^2 + y^2 + z^2 = 4
• x^3 + y^3 + z^3 = 9

What is x^4 + y^4 + z^4 ?

For the second part, what is the answer to the general case when:

• x + y + z = a
• x^2 + y^2 + z^2 = b
• x^3 + y^3 + z^3 = c

Question 1: 97/6 = apx. 16.166666

Question 2: a⁴/6 + (4/3)ac - a²b + b²/2

This question is raised and discussed in my forum at Wizard of Vegas.

You start with a fair 6-sided die and roll it six times, recording the results of each roll. You then write these numbers on the six faces of another, unlabeled fair die. For example, if your six rolls were 3, 5, 3, 6, 1 and 2, then your second die wouldn’t have a 4 on it; instead, it would have two 3s.

Next, you roll this second die six times. You take those six numbers and write them on the faces of yet another fair die, and you continue this process of generating a new die from the previous one.

Eventually, you’ll have a die with the same number on all six faces. What is the average number of transitions from one die to another (or total rolls divided by 6) to reach this state?

Playing The Iron Cross In Craps

Let's label the initial die with letters instead of numbers, to avoid confusion. Let's label each possible die state with letters. For example, AAABBC would mean three of one letter, two of another, and one of a third. The initial state would obviously be ABCDEF.

Let E(ABCDEF) be the expected number of rolls from state ABCDEF.

E(ABCDEF) = 1 + [180 × E(AAAAAB) + 450 × E(AAAABB) + 300 × E(AAABBB) + 1800 × E(AAAABC) + 7200 × E(AAABBC) + 1800 × E(AABBCC) + 7200 × E(AAABCD) + 16200 × E(AABBCD) + 10800 × E(AABCDE) + 720 × E(ABCDEF)]/46656

Building on the number of combinations of going from one state to another, the following transition matrix shows how many ways there are for going from each initial state (left column) to each new state. This took a few hours to construct properly, by the way.

Transition Matrix A

State Before	AAAAAA	AAAAAB	AAAABB	AAABBB	AAAABC	AAABBC	AABBCC	AAABCD	AABBCD	AABCDE	ABCDEF
AAAAAB	15,626	18,780	9,750	2,500	-	-	-	-	-	-	-
AAAABB	4,160	13,056	19,200	10,240	-	-	-	-	-	-	-
AAABBB	1,458	8,748	21,870	14,580	-	-	-	-	-	-	-
AAAABC	4,098	12,348	8,190	2,580	7,920	10,080	1,440	-	-	-	-
AAABBC	794	5,172	8,670	5,020	6,480	17,280	3,240	-	-	-	-
AABBCC	192	2,304	5,760	3,840	5,760	23,040	5,760	-	-	-	-
AAABCD	732	4,464	4,140	1,680	7,920	14,400	2,520	4,320	6,480	-	-
AABBCD	130	1,596	3,150	1,940	5,280	16,800	3,600	4,800	9,360	-	-
AABCDE	68	888	1,380	760	3,960	11,520	2,520	7,200	14,040	4,320	-
ABCDEF	6	180	450	300	1,800	7,200	1,800	7,200	16,200	10,800	720

I won't go into a long lecture on matrix algebra, except to say let's say matrix B is as follows:

Matrix B

State Before	AAAAAB	AAAABB	AAABBB	AAAABC	AAABBC	AABBCC	AAABCD	AABBCD	AABCDE	ABCDEF
AAAAAB	-27876	9750	2500	0	0	0	0	0	0	-46656
AAAABB	13056	-27456	10240	0	0	0	0	0	0	-46656
AAABBB	8748	21870	-32076	0	0	0	0	0	0	-46656
AAAABC	12348	8190	2580	-38736	10080	1440	0	0	0	-46656
AAABBC	5172	8670	5020	6480	-29376	3240	0	0	0	-46656
AABBCC	2304	5760	3840	5760	23040	-40896	0	0	0	-46656
AAABCD	4464	4140	1680	7920	14400	2520	-42336	6480	0	-46656
AABBCD	1596	3150	1940	5280	16800	3600	4800	-37296	0	-46656
AABCDE	888	1380	760	3960	11520	2520	7200	14040	-42336	-46656
ABCDEF	180	450	300	1800	7200	1800	7200	16200	10800	-46656

The answer is the determinant of matrix B to that of matrix A:

Determ(A) = 1,461,067,501,120,670,000,000,000,000,000,000,000,000,000,000

Iron Cross Craps System

Determ(B) = 14,108,055,348,203,100,000,000,000,000,000,000,000,000,000,000

Youtube The Iron Cross-craps

Determ(B) / Determ(A) = apx. 9.65599148388557