2: 1-1 3: 2-1, 1-2 4: 1-3, 3-1, 2-2 5: 1-4, 4-1, 2-3, 3-2 6: 1-5, 5-1, 2-4, 4-2, 3-3 7: 1-6, 6-1, 2-5, 5-2, 3-4, 4-3 8: 2-6, 6-2, 3-5, 5-3, 4-4 9: 3-6, 6-3, 4-5, 5-4 10: 4-6, 6-4, 5-5 11: 5-6, 6-5 12: 6-6 The above are THE 36 combinations a pair of six sided dice can be thrown (6 times 6 for a total of 36). If you have a Six on top, the bottom will show an... Eight. Every time, every day for eternity. If you have a Double Ace on top... a Double Six on the bottom. If you have a Hard Eight on top... a Hard Six will be on the bottom. The opposite side of each and every "honest" die will add up to SEVEN. Pick up one die and... presto... better be a Seven! Just check it out and you will quickly grasp this! When you want to figure what "correct odds" are, you need to compare the dice total you want against your losing dice totals. For the Pass Line bettor... example a 6. A six can be thrown 5 ways. A seven can be thrown 6 ways. Thus the payout is 6 to 5. Correct odds. For a Don't Pass bettor... it is reversed. You bet 6 to win 5, as there are five ways to LOSE. You always find YOUR number of combinations to WIN and put those against the number of combinations to LOSE. Now for fun. You are playing $1 on the Hard Eight. The table pays 9 to 1 or 10 for 1, so a $1 bet wins $9. What are the correct odds? What is the House Percentage? Many new Craps Players are at first, overwhelmed with all of the numbers on a Craps layout. I will take the small Craps layout and fold it into HALF an put a ruler between the 6 and 8. This ruler represents the 7. The left side 4, 5 & 6 has the exact same odds as the 8, 9 & 10, mirror image. Same with the 2 & 12, 3 & 11... Take the 4, 5 & 6, subtract 1 from each to a 7 minus one, which becomes 6. Example: 7-1= 6 TO 4-1=3 for odds of 6 TO 3, reduced to 2 to 1 which is correct ODDS for the 4 and the 10. Again, take 7-1= 6 TO 6-1= 5 which is 6 to 5, which is correct odds for the 6. The "mirror" image to the 4, 5 & 6 are the 8, 9 & 10 (but you cannot use the simple math to get an immediate ODDS for those, just use the left side of the cloth. Once you feel comfortable with this concept of understanding ODDS, you are on your way! A personal note: If no one cares about this aspect of the basic REAL mathematics of Craps, I will have no further additions to this Topic. But, if you really want to get quizzed and have a bit of fun... answer this very basic Hardway question and then ask one of your own for... comment. I, among all posters on this Forum, understands that being a beginner can be intimidating among the close scrutiny of more experienced players. If you are intimidated by the posters on the Forum... the pressure at a live table can be severe. You think everyone is staring at you... and they are not. The other players are more concerned with THEIR chips and game. Once YOU understand the game from the view of a PLAYER and I can later add... view of a DEALER... we all can progress. I would suggest, ever so slightly, that one of our resident current Craps Dealers put up a New Topic for Beginner Craps as the Holy Grail of Craps Dealers. You and I know who you are... I feel I am being your friend and not critic, which is not my plan. This New Topic is for newbie, beginner and advanced players. I cannot help on Dice Control as it is not in my Holy Grail of Craps, but someone in that area of Craps might want to begin the Holy Grail of Craps Dice Control or Influence.