I was introduced to Jim’s Parlay Method (JPM) by Jim Ferr, its developer, in ye olde Usenet rec.gambling.craps newsgroup in the late 1990’s. Jim originally claimed it worked best with 3-6 players at the table but after further testing renounced that claim, which caused yours truly some embarrassment since I had defended it as a possibility from a withering attack by the legendary Mason, the newsgroup’s resident curmudgeon. (As an aside I will claim I alone held Mason to a draw over the life of the newsgroup, winning three rounds while losing two, one of which, this one, was a two-pointer.) Vanilla JPM is a definition of simplicity, which is why it is the method I show at the table to players who ask me how to play the game. Betting only Pass or Don’t Pass the player bets that the decision before last will repeat, a strategy known as avant-dernier. (Obviously the player must “sit out” and only observe two Line decisions upon stepping up to a table.) A base betting unit (e.g. $5) is established and progressed (in terms of units) 1-2-4-5-5-5-5-… on wins, dropping back to a single unit after every loss. (IOW it is a winning parlay progression capped at five units.) IMHO the method has staying power, provides a decent chance of showing a profit, and can get the adrenaline flowing when the dice co-operate. The method looks for a trend of passes (PPPP…), a trend of misses (MMMM…), or a trend of alternating passes and misses (PMPM…). Jim later added an advanced betting strategy to take advantage of alternating pairs of passes and misses (PPMM…) also, but I have never given it much attention and lack the interest to do so now. What I have always had an interest in doing is incorporating the best bet in the house, odds, into JPM’s progression. Hence during my sabbatical from the forum (and without the distraction of open tables thanks to COVID-19) I have to the sessions of sweet silent thought summoned up remembrance of things past, and sighed the lack of many a thing I sought, and with old woes new wait my dear time’s waste … (Sorry, got carried away. Be thankful it was William Shakespeare I summoned and not Lewis Carroll.) Because the player is putting up the long end of the odds, winning lay progressions require no small amount of analysis for oh, beamish player, beware of the day, / if your Snark…er, dice be a Boojum! For then / your profits will suddenly vanish away, / and never be met with again! [OK, no thanks necessary.] I may tackle this side if e’er I actually go Snark hunting, but for the nonce I will let this sleeping Boojum lie, laying no odds on the dark side. A front-side progression is relatively trivial: merely keep the flat portion at the minimum required to bring the total up to the level called for with odds. (For example, at a double odds table, the second bet would be 1+1 (one unit flat, one unit odds), the third bet would be 1½+2½, the fourth and subsequent bets would be 2+3, although a fifth bet of 2+4 could be added to the progression.) Of course there is a fly in the ointment: natural wins. (A comeout craps signals a return to one unit.) The simplest way to handle a comeout 7|11 would be to ignore it (i.e. count it as no decision and toll the progression). I am loathe to take this approach for two reasons: first, it runs contrary to the philosophy behind the method, which is to use “house money” to compound profits during a winning streak, and second, I would be increda-bummed summoning up remembrance [Had to make up for the slang.] of John Greenleaf Whittier: “Of all the words of tongue and pen / the saddest are these: ‘It might have been.’” OTOH I want to avoid having to consult a pocket calculator to figure out what to bet on the next roll, so I split the difference: add half a unit to the flat if betting Pass after a natural winner, then take odds to make the total bet match what the progression calls for or to hold the loss for the series to one unit, whichever is smaller. [Edit addition: colored text.] _ _ _ _ _ _ _ _ _ _ Here are some examples. All bets are Pass. (Note that multiple natural winners can muddy the waters only when betting Pass.) Double odds table. Example 1 First bet 1 unit. Winner (natural or make point). Second bet 1 unit. Natural winner. Third bet 1½ units. Natural winner. Fourth bet 2 units. Point established. Take 2½ units odds. Example 2 First bet 1 unit. Winner (natural or make point). Second bet 1 unit. Point established. Take 1 unit odds. Third bet 2 units. Natural winner. Fourth bet 2½ units. Point established. Take 2½ units odds. Example 3 First bet 1 unit. Winner (natural or make point). Second bet 1 unit. Natural winner. Third bet 1½ units. Point established. Take 1½ units odds. Fourth bet 2 units. Natural winner. (Note 3 units odds would have been taken if point had been established. Bets now become a matter of taste. I personally would continue to add half a unit (or maybe even half of the winnings) to my flat bet after natural winners and take 3 units odds. Alternately a half or even a full unit could be added to the flat bet and odds reduced to keep the total bet at 5 units.