One of the three dice used in crown-and-anchor (“exploded” to show all six sides) and the betting  layout. The dice are marked with a crown, an anchor, a heart, a spade, a diamond, and a club.  Players place their bets on the symbols of their choice.  The bank pays even money on singles (i.e., if the chosen symbol appears on one die); 2 to 1 on pairs, 3 to 1 on three of a kind.  True poker odds against the combinations are respectively 35 to 19,25,to 2 , and 215 to 1.

the usual layout for bank craps as played in many casinos.  Right, a diagram of the layout showing the bank’s favorable percentages on the even money bets.  A “win”bet is that the shooter will pass (win) on his come-out (first roll) by throwing either a “natural” (Seven or Eleven) or by throwing a “point” (Four, Five, Six, Eight, Nine or Ten) and repeating it before throwing a Seven.  (The bank’s edge is 1 41/49 per cent.)  A “lose” bet is that the shooter will throw a crap (Two, Three or Twelve) on the come-out.  A “Big 6” (or “Big 8”) bet is that six (or Eight) will be thrown before a Seven.  A “come” bet is that the dice will win on the next roll (which then becomes a come-out).  A “don’t come” bet is that the dice will lose on the next roll.  A “field bet” covers seven specified numbers.

In the “six-bet” system you need a fair amount of capital, since on a casino table there is invariably a minimum as well as a maximum limit to the size of a bet.  Put an acceptable bet on each of the six point numbers (place bets), thus giving yourself six chances against the shooter’s single chance of throwing a natural.  If he throws a natural, you lose; but if he makes a point, collect your winnings on that number and cancel the other five place bets.

A point of Four or Ten will give you odds of 9 to 5; Six or Eight will give 7 to 6, and Five or Nine will give 7 to 5.  your advantage, of course, is that there are 24 ways of throwing Four, Five, Six, Eight, Nine and Ten, but only six ways of throwing Seven-so the odds are apparently 4 to 1 in your favor.  But the shooter has only to throw two successive naturals for you to be irreparably out of the pocket, since the minimum place bet is always carefully calculated to neutralize the advantage you gain by the 4 to 1 odds.

The “win-and-lose” system can be used only in a casino, since it requires a table with a “don’t pass” line.  This simple process is frequently advertised as a “never-fail” system.  You backgammon the dice game to win and lose.  Put your first bet on the don’t pass line, and when the shooter throws his point, make a place bet on the number he throws.  You are likely to win on one of these bets unless the shooter throws a natural or crap on his come-out; and, according to the odds on the particular point you back, you will either break even or make a profit.  Since you have bet that the shooter will lose on his come-out, the system falls down immediately if he throws a natural or crap, for the payoff odds will be considerably smaller in your winning place bet.

In the “series system” you watch for the shooter’s come-out.  If he throws a pass, you begin betting on him to win.  If he throws a crap you begin betting on him to lose.  The assumption is that each pass or crap is the first of a series of passes or craps.  It is, of course, quite possible that it will be.  And if you switch your bet after the first throw of the dice that begins a new series you will naturally win.  Unless, of course, the thrower throws alternate passes and craps.
One craps system is an adaptation of a roulette system called the “Martingale” which is based on a progressive doubling of the bet each time bettor loses (he needs a lot of capital).  But it can often fail because of the limitation of maximum stakes imposed by the casino or the other players.  The Martingale system adapted to dice is called the “patience” system.  You must be patient enough to watch the game without betting until the shooter has thrown four passes in succession.  If and when that happens-and only if it happens-you bet that the shooter will lose next time.  The odds against his throwing five Sevens or Elevens in a row are 31 to 1, which seem like very favorable odds.  And indeed they are so long as you remember that you are not actually betting on this proposition at all.

Because it is impossible for you to determine the point at which you are joining the periphery of that infinitely expanding circle, the true long run, you must treat every throw of the dice as a separate entity,  unrelated to any previous throw.  If, before the shooter began throwing, you bet him that he couldn’t make five Sevens in a row, then the odds would be 31 to 1 in your favor-because you would be betting on the five throws as a unit.  But in the patience systems you are betting that the shooter will not throw a pass in his next throw –one more throw in the endless succession of all the throws ever thrown, which began at some indefinable point in the past.  All other considerations are irrelevant.  And your chances of winning or losing on a single throw are very nearly equal.

Your chances are nearly equal because on a single throw it isn’t just Seven or Eleven (a natural) that will win, or Two, Three, or Twelve (a crap) that will lose.  The shooter can also win (i.e., pass) by making his point-Four, Five, Six, Eight, Nine, or Ten-and, if shooting for a point, can lose with a Seven.  Thus the odds on a single throw are computed by taking into consideration all the odds against making each individual point before a Seven, as well as the chances of shooting a natural before a crap.  To spare you all the mathematical details, the odds against the shooter’s making a pass on one throw are 1.0286 to 1 – which, in practice, is the same thing as 50-50.

However, in the patience system, if your bet proves fruitful and the shooter loses on his fifth throw, pick up your winnings and don’t bet again until another four successive passes have been made.  If you have a successful spell at all with this system, you winnings poker rules will be small and widely spaced (it may be weeks between throws of successive passes) but at least they will be winnings.  Of course, sooner or later you will come up against a situation where the shooter throws five, six, seven, eight , or more successive passes.  The system’s answer to this is to double your bet each time the shooter throws a successive pass after the fourth, so that you can recoup your losses when you win.  But you may find that if the shooter has a row of eight passes you may not be able to bet any more-because to double your bet again will be either to exceed the limit the bank will fade, or to exceed your capital.