| Why do casinos make money?
                Well yes, very often the odds are stack in their
                favor. But there is a more crucial factor,
                casinos do not run out of money as you do, or do
                not bail when their bank goes low.  At some point, you
                will stop playing. If you were lucky and won
                a lot of money, you may decide to call it a night.
                But very often, you will stop because you ran out
                of money or are so low that you figure you should
                stop before losing everything. If your account
                was limitless and that you could manage to get
                odds that favor you, then casinos would go
                bankrupt.
 In Money Management you concentrate on odds and
                stakes. The idea is to imitate the casino in
                having allot more money then what you are
                risking, so that you can regain you losses and
                keep a steady and slow increment in your bankroll.
 A constant amongst
                efficient strategies are that you must have a
                large fund in comparison to your standard bet,
                and that your system allows you to regain your
                losses. The only true
                systems in our opinions are the Martingale and
                the systems that derive from that principle. One thing to
                remember is that a money management system is not
                a certitude and that in the end, it cannot defy
                the odds but only assure that the casino does not
                win because it ran you out of money.
 Here are the typical Money Management Betting
                Systems:
 
 The
                Martingale
 The MII and Slowed
                Martingale
 
 5 highly vehiculated false "systems" to
                be avoided
 The
                D'Alembert The Contra D'Alembert
 The Oscar's Grind
 The
                Progressive Betting System - 2 Level
 The
                Progressive Betting System - 5 Level
 
 The Martingale (Top)This one of the most basic and more widely spread
                money management system. Unfortunately it can
                rarely be used in Black Jack anymore, however it
                is still worth exploring since it best
                illustrates the idea behind money management.
 It works like
                this:You double your stake, when you lose, and start
                all over again, when you win. Quite simple
                actually. This means that you will be ensured a
                profit, when you win.
 Let's make an example: (odds 3) (betting on
                sports)
 You bet 100$ on a
                home victory at odds 3, but you lose. Next time,
                you bet 200$ on another game at odds 3. Here you
                win, meaning a profit of 200$x3-200$-100$=300$.
                If you had lost, you should have increased the
                stake to 400$, then 800$ etc. No matter when you
                win, you will win back what you have lost plus a
                lot more in profit.
 As can be seen from the graph below, having
                strong monetary backup is crucial. Most sources
                agree that in Black Jack, when using basic
                strategy, the odds stacked against you are of 50.25%
                This means that 11 consecutive losses will happen
                once every 2047 hands you play. If this is an
                acceptable risk to you, it means that you will
                need 2047 times your standard bet as funds ready
                to back up a loosing streak.
 
                    
                        | Losing
                        Streak Progression Each Turn | Odds
                        Of Losing Streak Happening |  
                        | Starting
                        Bet | 1$ | 5$ | For
                        50%against you
 | For
                        60%against you
 |  
                        | 1* | 2 | 10 | 25% | 43.56% |  
                        | 2 | 4 | 20 | 12.5% | 28.7496% |  
                        | 3 | 8 | 40 | 6.25% | 18.97474% |  
                        | 4 | 16 | 80 | 3.125% | 12.52333% |  
                        | 5 | 32 | 160 | 1.5625% | 8.26540% |  
                        | 6 | 64 | 320 | 0.78125% | 5.45516% |  
                        | 7 | 128 | 640 | 0.39063% | 3.60041% |  
                        | 8 | 256 | 1280 | 0.19531% | 2.37627% |  
                        | 9 | 512 | 2560 | 0.09766% | 1.56834% |  
                        | 10 | 1024 | 5120 | 0.04883% | 1.03510% |  
                        | Total | 2047 | 10235 |  | * Row 1 being the first
                hand after a loss (or a second consecutive loss) The main problem is that the stakes grow very big
                very fast, when losing several times in a row, i.e.
                you need a very large betting fund or "bankroll".
                Another problem is the fact that the bookies and
                casinos operate with maximum bet limits.
 
 To put a stop on the use of this very simple
                system, casinos instated minimums and limits on
                black jack and roulette tables and therefore,
                unless you can find a black jack table with a
                very wide limit range, you will not be able to
                apply this system.
 
 Originally Martingale was used on Red/Black when
                playing Roulette (odds 2.00). This means that the
                risk is minimized, but also that the profit at
                each progression end will be only the starting-stake.
 
 A Martingale II Variation (Top)It is easy to see how the Martingale grows
                faster and faster as you keep loosing and why you
                require so much money to support yourself through
                loosing streaks.
 The main problem
                with the Martingale is that it seeks to earn you
                money even when you are loosing. Though not a bad
                idea, this is unnecessary and greatly affects the
                amount you need as back up. The MII only seeks
                to make you make money on the second hand after a
                loss. 
 The MII simply seeks to have you regain the money
                lost without attempting to gain money even when
                you loose. You only double after the first loss,
                and after that you simply bet the amount that you
                have lost so far.
 This means that
                the first win after a loosing streak of more then
                2 losses will not earn you anything but only
                cover what you have lost so far. This is based on
                the fact that long loosing streaks are
                statistically less probable and therefore on the
                second hand you bet 10 rather then only 5. All
                subsequent hands, you will bet the total that you
                have lost so far, which comes down to doubling.
 Making money when you loose is the catch phrase
                that draws people to the Martingale, but the
                essential here is not to make money when you
                loose, but to be able to afford a loosing streak.
 Compare the
                progression between the 2 systems from the graph
                below, on a 50% risk. The total amount needed for
                the Martingale is 10,235 while the MII is only
                6680.  
                    
                        | Losing
                        Streak Progression each turn |  
                        | Starting Bet | Martingale at 5$ | MII at 5$ | For 50%
                        against you |  
                        | 1* | 10 | 10 | 25% |  
                        | 2 | 20 | 15 | 12.5% |  
                        | 3 | 40 | 30 | 6.25% |  
                        | 4 | 80 | 60 | 3.125% |  
                        | 5 | 160 | 120 | 1.5625% |  
                        | 6 | 320 | 240 | 0.78125% |  
                        | 7 | 640 | 480 | 0.39063% |  
                        | 8 | 1280 | 960 | 0.19531% |  
                        | 9 | 2560 | 1920 | 0.09766% |  
                        | 10 | 5120 | 3840 | 0.04883% |  
                        | Total | 10235 | 6680 |  | 
 
                    
                        | A Slower Martingale
                        aimed at only recuperating lost money,
                        with 0 Gain on losing streaks |  
                        | Starting
                        Bet | MSlow at 5$ | For 50%
                        against you |  
                        | 1* | 5 | 25% |  
                        | 2 | 10 | 12.5% |  
                        | 3 | 20 | 6.25% |  
                        | 4 | 40 | 3.125% |  
                        | 5 | 80 | 1.5625% |  
                        | 6 | 160 | 0.78125% |  
                        | 7 | 320 | 0.39063% |  
                        | 8 | 640 | 0.19531% |  
                        | 9 | 1280 | 0.09766% |  
                        | 10 | 2560 | 0.04883% |  
                        | Total | 5120 |  | 
 
                    
                        | Losing Streak
                        Progression beyond the 11th subsequent
                        loss for 66% odds against you |  
                        | Starting
                        Bet | MSlow at 5$ | For 66%
                        against you |  
                        | 11 | 5120 | 0.68317% |  
                        | 12 | 10240 | 0.45089% |  
                        | 13 | 20480 | 0.29759% |  
                        | 14 | 40960 | 0.19641% |  
                        | 15 | 81920 | 0.12963% |  
                        | 16 | 163840 | 0.08556% |  
                        | 17 | 327680 | 0.05647% |  
                        | 18 | 655360 | 0.03727% |  
                        | 19 | 1310720 | 0.02460% |  
                        | 20 | 2621440 | 0.01623% |  
                        | Total | 5,242,880 |  | The second Graph above shows you a slowed down
                version of the Martingale. This one has
                absolutely no doubling. The total amount of money
                needed to support this is 5115 or 5120 if
                counting the very first loss.
 The last graph
                shows you, for 66% odds against you, what amount
                of money will be needed to cover the arbitrarily
                set safety of a once in 2000 hands loosing steaks.
                
 Only at the 17 turn (18th loss) do you approach
                this barrier. The amount of money necessary to
                cover this loosing streak would be in the sum of
                655,360$. The Martingale systems is often boasted
                as capable of beating any odds however a Black
                Jack player can easily play 500 hands in a night,
                so the importance of enduring the test of time
                and therefore making sure that you have enough
                money to support big losses is crucial.
 
 This sums up the Martingale. And though not
                applicable to Black Jack unless you are playing
                on a limitless table, the Martingale is very much
                the Money Management 101 system to learn, in
                order to understand the principle behind Money
                Management.
 
 (Top)
 
 
                  
                    
                        | A dose of
                        realism |  
                        | As stated above, the
                        Martingale can rarely be used in casino
                        situations because of table limits.
                        Although promising, the Martingale
                        technique will eventually fail. What you
                        have to hope is that the money earned
                        will compensate for that loosing streak.
                        We defined an arbitrarily insurmountable
                        loosing streak probability we are willing
                        to accept being of 1 in 2000, in our case
                        it is actually 1 in 2047 on the 11th
                        loss, because the 10th loss did not meat
                        our criteria, being only 1 in 1024.
                        Should you survive all losses and play
                        2046 hands before facing a bad streak of
                        11 consecutive losses, you would earn $10,235.
                        Every Martingale winning hand earns you
                        your minimum bet, every time, even after
                        a losing streak. With the Martingale
                        there is no loss, except the maximum
                        losing streak you are willing to accept
                        as risk. Unfortunately, the cost of the
                        fatal losing streak is also of $10,235.
                        In our case. Mathematically, this will
                        balance out, always.
 You
                        can use this system and try to beat the 1
                        in 2000 odds, but this is not what this
                        system is for. This system is meant to
                        stretch your game time without any loss,
                        so that you can turn the odds in your
                        favor, through card counting and basic
                        strategy. There is a high risk of loosing
                        much. The idea is that if you need 50
                        hands before getting what we call a
                        "rich deck", then for 50 hands,
                        your risk of loosing everything is of 2.44260%.
                        This means that the more there are people
                        at the table, the faster you will get to
                        a rich deck, if there is a rich deck to
                        be had, because every turn the number of
                        cards spent will be much more, lowering
                        the number of turns and there for, your
                        risk factor.
 |  
 D'Alembert (Top)
 Also known as The Pyramid. Another Casino Roulette
                Strategy, not as famous as Martingale
                though. In the original version, you increase the
                stake by 1 unit when you lose, and drop it by 1,
                when you win. Could look like this:
 
                    
                        | Stake | Win | Profit |  
                        | 1 | 0 | 1 |  
                        | 2 | 0 | -3 |  
                        | 3 | 6 | 0 |  
                        | 2 | 0 | -2 |  
                        | 3 | 6 | +1 |  The odds in the
                example is 2 (red/black from roulette).  In betting, it
                might be a good idea to use higher odds like 3 or
                4. If you want to minimize risk, you can start
                all over on the starting stake, if you have a
                profit when you win (instead of just dropping the
                stake by 1). Follow this example: (odds 4)  
                    
                        | Stake | Win | Profit |  
                        | 1 | 0 | 1 |  
                        | 2 | 0 | -3 |  
                        | 3 | 0 | -6 |  
                        | 4 | 16 | +6 |  
                        | 1 | ... | ... |  To minimize risk,
                simply start all over again, when you win,
                instead of just dropping the stake by 1.  D'Alembert is a
                widely used strategy, and to begin with it is
                very likely to yield a profit. In the long run,
                however, the bottom line usually shows a loss.  This strategy is
                not actually based on any principle, you may just
                as well bet anything you want randomly.  
 Contra D'Alembert (Top) The same idea as D'Alembert, but here you
                increase the stake if you win, and drop it if you
                lose.
 
 Example (odds 2):
 You might be
                telling yourself both system can't work! Well you
                would be right. So which one works and which one
                doesn't? The answer is
                neither. 
 
                    
                        | Stake | Win | Profit |  
                        | 1 | 2 | +1 |  
                        | 2 | 4 | +3 |  
                        | 3 | 6 | +6 |  
                        | 4 | 0 | +2 |  
                        | 3 | ... | ... |  Basically the only
                thing these 2 system do is make you spend more
                then you probably would normally. This system
                will come out on top in win/lose/win/lose
                situation. Where has the normal D'Alembert will
                be good in streaks of win and lose. Either way, this
                is not a system but a ritual. If it makes you
                feel better to believe your approach works then I
                guess you can try this and believe it will come
                through for you. 
 Oscar's Grind (Top) The originator, only known as Oscar, told
                reporters that he gambled a lot and had never had
                a losing trip. Want to know why? Then read on!
 Converted from
                Roulette black/red into betting, meaning odds 2.00.
                 The goal is to win
                one unit at the end of each progression and,
                whatever larger bet might be dictated by the
                other betting rules, will be dropped to a bet
                just large enough to gain one unit. This rule
                overrides. Bet 1 is one unit.
 If Bet 1 is lost, Bet 2 is one unit.
 After a loss, the bet is the same as the bet just
                lost.
 After a win, the bet is one more than the bet
                just won.
 
 Example
 
 
                    
                        | Round | Odds | Stake | Win | Profit |  
                        | 1 | 2,00 | 1 | 0 | 1 |  
                        | 2 | 2,00 | 1 | 0 | -2 |  
                        | 3 | 2,00 | 1 | 0 | -3 |  
                        | 4 | 2,00 | 1 | 0 | -4 |  
                        | 5 | 2,00 | 1 | 2 | -3 |  
                        | 6 | 2,00 | 2 | 0 | -5 |  
                        | 7 | 2,00 | 2 | 4 | -3 |  
                        | 8 | 2,00 | 3 | 6 | 0 |  
                        | 9 | 2,00 | 1 | ? | ? |  - First four bets
                are lost, and player is down 4 units. - Next bet is once again 1 unit, according to
                Rule 3.
 - Next bet is 2 units (after a win), according to
                Rule 4.
 - Next bet is 3 units (after a win), according to
                Rule 4.
 - Next bet is 1 unit, according to Rule 4,
                overriding Rule 1, which would say 4 units.
 This system, on
                top of not working, is so complex that you will
                not have time to count cards and may make
                mistakes in your basic strategy. Once again, this
                is not the magical formula it claims to be.  
 Progressive Betting System -
                Level 2 (Do not use this) (Top) This kind of "system" is what makes
                losers seem like winners. We recommend avoiding
                these types of so called "systems". We
                explain these systems so that you can understand
                why they are useless and that you avoid them.
 To use this system
                simply decide on a minimum and maximum bet. Then
                bet the smaller amount after a loss and the
                larger amount after a win. For example, say you
                set your minimum bet at $5 and your maximum at $15.
                Start with a $5 dollar bet. If you win that hand
                you bet $15 your next wager. You then continue to
                bet $15 until you lose. After any loss you return
                to your minimum bet of $5. 
 Example
 
 
                    
                        | Round | Odds | Stake | Win | Profit |  
                        | 1 | 2,00 | 5 | 0 | -5 |  
                        | 2 | 2,00 | 5 | 0 | 10 |  
                        | 3 | 2,00 | 5 | 0 | 15 |  
                        | 4 | 2,00 | 5 | 0 | -20 |  
                        | 5 | 2,00 | 5 | 10 | 15 |  
                        | 6 | 2,00 | 15 | 0 | -30 |  
                        | 7 | 2,00 | 5 | 10 | -25 |  
                        | 8 | 2,00 | 15 | 30 | 10 |  
                        | 9 | 2,00 | 15 | ? | ? |  This entire system
                bases itself on the false idea that winning and
                losing streaks will happen and fails to
                anticipate that in every single hand, you have 50%
                chances of winning or loosing. You may just as
                well alternate between the $5 and $15 bets back
                and forth and get the same result. A "win,
                lose, win, lose win, lose" situation with
                this approach will put you in the hole faster
                then you can say "Damn this Progressive
                Betting System!". 
 Progressive Betting System -
                Level 5 (Do not use this) (Top) Another superstition baptized system by people
                who believe that lining-up lighters on a table
                will bring luck there way.
 Again this is
                based on the false concept of winning and losing
                streaks. This is based on a 1,2,3,5 back to 1
                progression.  Example: For a $5
                player, the betting levels would be $5,10,15, and
                25. With this system you start with your $5 bet
                and progress to the next level when you win a
                hand. If you lose a hand you drop back down to
                your original $5 wager. If you win four hands in
                a row you should then drop back down to your
                original $5 wager, hence the 1,2,3,5 back to 1
                progression.  This approach to
                managing money almost seems as though it was
                spawned from a casino owner seeking to make you
                lose your money. 
 Example
 
 
                    
                        | Round | Odds | Stake | Win | Profit |  
                        | 1 | 2,00 | 5 | 10 | +5 |  
                        | 2 | 2,00 | 10 | 0 | 10 |  
                        | 3 | 2,00 | 5 | 0 | 15 |  
                        | 4 | 2,00 | 5 | 10 | 10 |  
                        | 5 | 2,00 | 10 | 20 | 0 |  
                        | 6 | 2,00 | 15 | 30 | +5 |  
                        | 7 | 2,00 | 25 | 0 | -20 |  
                        | 8 | 2,00 | 5 | 0 | -25 |  
                        | 9 | 2,00 | 5 | 10 | -20 |  You can easily sum
                it up by saying:"When you win, risk it all until you lose,
                when you have won allot and fell you are bound to
                lose, go back to a small wager. When you've lost
                everything you've earned, go back to a small
                wager."
 -If I bet 5 and win I have my 5 and a five dollar
                profit.
 -I bet it all, my entire 10, profit and
                investment alike.
 -If I win, I have a 15 dollar profit and my
                original 5.
 -I keep my $5 investment and bet my entire $15
                profit.
 -If I win I have my original $5 and a $30 profit.
 - I put 5$ of the profit aside and bet the rest
                of my profit.
 This is aimed at
                making you bet more then you were originally
                willing to bet. The idea is not to accumulate
                profit but to use the profit to fuel bigger
                wagers. 
 A Proven Roulette
                Strategy
 
 Want to risk relatively little money on a chance
                to cash in big?
 
 How does a 35 to 1 payoff sound to you? This
                strategy uses straight-up inside bets that payoff
                at 35 to 1 if your number is rolled. Most
                Internet casinos offer $1 chips and $5 minimum
                inside bets and this is a good place to start.
 
 First, choose five favorite numbers. Place a $1
                chip on each of them. Repeat that same bet until
                you win. (you have enough chips for 8 rolls).
                When you hit, you'll win 35 chips.
 
 Now, divide those 35 chips over your five
                numbers, seven on each number. If you hit again,
                the payoff will be 35 x 7 = $245!
 
 At this point, you can do one of two things:
 
 1. You could quit, take the money and run.
 2. Or you could put 20 chips on each of your five
                numbers. This bet will cost you $100 but you
                could collect $700 if one number hits. If it
                doesn't hit, you still have $145 in your pocket
                from the previous bet. It all depends on how
                lucky you're feeling!
 
 (Top) 
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