I assume that everybody in this forum understands the probability odds and payouts of the game of Craps. This is the way how we conclude that casinos have the edge over the gamblers. Do you agree so far? Good In the whole Craps layout,probably in every table game layout,there is only one bet with POSITIVE EV!!! Let me repeat the last one, in the whole of the table games there is only one bet with POSITIVE EV!!! Of course we are talking about CRAPS! Why you think the name of the game is synonymous with this bet...?! But let's take a closer look at the "ANY CRAPS" bet; As we know, the payout of 1+1 (2) is 30 to 1 which gives the house an advantage because the true odds are 36 to 1 The payout of 1+2 or 2+1 (3) is 15 to 1 which makes it a bad investment because the true (in theory) odds are 36 to 2 or 18 to 1 The same goes for 5+6 or 6+5 (11) and finally 6+6 (12) is the same case as the snake eyes (2) All those bets have been called sucker bets for obviously a good reason. But what about ANY CRAPS bet?! This bet pays 7 to 1 which means if I bet 10 USD I would receive 70 plus my wager of 10,a total of 80 Now let me remind you the possible outcome combinations of all CRAPS: 1+1, 1+2, 2+1, 5+6, 6+5, 6+6 which makes a TOTAL of 6 COMBINATIONS! So the casinos have decided to pay 7 to 1 instead of 5 to 1 or even 4 to 1 like on "ANY SEVEN" bet!!! For example the ANY SEVEN bet has a total of 6 possible combinations,which is 1+6, 6+1, 2+5, 5+2, 3+4 and 4+3 On the other hand, ANY CRAPS has also a total of 6 combinations BUT INSTEAD OF PAYING 4 TO 1 , PAYS 7 TO 1!!! Both bets are for 1 time roll (no push,break even or contract bet) My conclusion is that THIS IS THE ONLY EXCEPTION TO THE RULE! Before you try to decline the very obvious fact I have presented you, think this: THE VERY SAME THEORY WHICH CONFIRMS THE HOUSE EDGE, HERE WORKS FOR THE GUESTS INSTEAD OF THE HOUSE!!! SO IF YOU DON'T ACCEPT WHAT I'VE JUST SAID, THEN YOU DON'T ACCEPT ANY OF THE THEORIES ABOUT THE HOUSE EDGE!!! Of course there are also other,more complicate bets which have a bigger PLAYER EDGE than just betting a progression on ANY CRAPS starting on 1 buck, but I'm not going to reveal them!