??????? ???????? ??? ? ?raps: ????????? ?????? ?? ????????? ?????????

?raps – ???? ? ??????????????? ?????????? ????, ??? ?? ??????? ??????????? ????????? ?? ????? ?????? ??????? ?????????????. ? ???????????? ???????? ????? ??????? ???????????? ?? ?????? ???????, ? ?????? ?????? ????????? ???????????? ?? ???????? ???????, ??????? ?????? ?? ????? ??????????. ???? ????????? ? ??????????????? ?????? ??????? ?raps ??????????? ?? ??? ????????, ??? ? ??? ??????????? ?????????, ??? ??????? ?????????? ????????? ???? ???????? ???????.

??????? ?????????? ?????????, ????? ???? ?????? ?????? ???????, ?????????? ??????????? ????????? ?? ??????????, ?? ?????????? ??????? ???????????? ??????? ??????, ????????????? ????????? ?????? ?? ?????????? ????????? ? ?????? ????????? ????. ???? Infolight ?? ? ?????????? ??????, ??? ?????? ??????? ?????????? ??? ?????????? ?????? ??????, ?? ????????? ??????? ???????? ?? ???????????? ???????????? ?????????.

? ??? ?????? ?? ?????????? ?????????? ???????? ?raps, ??????????? ?????? ???, ???????? ??????????? ??? ???????, ????????? ????????? ? ???????????? ROI ?? ?????? ?????????? ?????????. ????? ?????? ???????????? ????????? ?????????? ?? ??????????????, ??? ????? ?????? ??????????? ??? ??? ??? ? ?????????? ?????????????.

1. ?????????? ???????? ?raps ?? ???? ????? ? ?????????????

?raps ????? ? ??? ? ???????? XIX ???????? ?? ??????? ???????????? ??? ? ?????, ??? ????? ?? ???????? ? ? ???????. ???????? ??????? ???? ????????: ??????? ????? ??? ??????, ? ???? ??????? ?????? ?? ??????? ????. ????????? ??? ???????? ???????????? ? ???-??????, ?? ?’??????? ?????????? ?????, ???? ?????? ?? ???????????? ???? ??????, ???? ?? “Place” ?? “Buy”.

??????? ? ???????? ???? ???????? ? ????? 1990??, ???? ????????????? ?????? ????????????? ?????????? ?????????? ????? (RNG). ?????????? ????? ????????? ??????? ????? 24/7 ??? ?????????? ? ?????, ? ????????? ?????? ??????????? ? ???????? ?????. ?? ???????????? ?????????? ????? ?????? ????? 30 ????????? ??????, ????????? “Hard Way” ?? “Field”, ??? ????????? ?? ???????? ? ??????????? ??????.

????????? ? ???????, ??????? ???????????? ?????????????????, ???????? ??????? ?????? ??? ????????? ???. ????? ????????? ????????????? ? 2020??? ???? ?????? ??????????? ??????????? ???????? ????????, ?? ????????? ?????? ??????? ? ??????? ????? ???????????? ?raps ????? ???????? ????????????.

1.1. ??????? ????? ???????? ??????

????? ??????? ?raps ???? ?????? ????????: ???? “Pass Line” ? “Don’t Pass Line”. ?????? ?’??????? “Come” ? “Don’t Come”, ? ????? ????? ??????? ????????, ???? ?? “Buy” ?? “Lay”. ? 2000?? ????? ????????????? ?????? “Multi?Roll” ?? “Bet Behind”, ?? ???????? ??????? ??????? ?? ????????? ??????? ?????? ?????????.

1.2. ???????? ?????????: RNG ?? ???? ??????

?????????? ?????????? ????? (RNG) ??????????, ?? ????? ????? ??????? ? ?????????? ? ?? ?????????? ????????????. ??????? ????????? ????????? ???????????? ?????????? ???????????, ?? ???????? ?????? ???????. ???? ??????, ??????????? ? ??????? ????????????, ??????? ??????? ??????????: ??????? ?????? ???????? ?????, ? ?? ???? ????? ?? ??????. ?? ???????? ??????? ??? ???, ??? ????? ?????????? ? ???? ??????? ????????? ????????? ??????, ?? ???????? ? ????.

2. ???????????? ????????? ?raps: ??????????? ? ???????? ???????

?raps – ???, ? ???? ??????????? ?????? ??????????? ???????? ??? ???? ???? ???????. ?????????, ???? 7 ??????? ? ????? ?? ?????????????? ???????? ??????????, ?? ??? ??????????? 41,7?%. ?????? “Pass Line” ??????, ???? ?????? ????? (come?out) – 7 ??? 11, ? ??????? ??? 2, 3 ??? 12. ???? ??????? ???? ????? (4, 5, 6, 8, 9, 10), ???? ???? “point”, ? ??? ????????????? ?? ????, ???? ?? ?????? ??? “point” ??? 7.

«??????????» ?????? ???????????? ?? ?????? ? ????????? ????????? ??????? (House Edge). ??? “Pass Line” ?? “Don’t Pass Line” ??? ???????? ????????? ????????? 1,41?% ? 1,36?% ??????????. «????????» ?????? ??????? ?????? ? ????? ?????????, ???? ?? “Any Seven” (House Edge 16,67?%).

????????? ?????? (EV) ?????????????? ?? EV = (??????????? ??????? × ???????) – (??????????? ???????? × ??????). ??? “Pass Line” EV ????????? ????????? -0,0141 ??????? ?? ????? ??????????, ?? ???????, ?? ? ?????????????? ??????????? ??????? ??????? 1,41?% ????? ????????.

2.1. ?????? «Pass Line» ?? «Don’t Pass Line»

“Pass Line” – ?????????????? ?????? ??? ????????, ?? ???? ???????? ? ????????? ? ??? ?????? ???????? ???????. ???? “point” ??????????????, ??????? ???? ????????? ???????, ??????? “Odds” (????????? ?????? ??? House Edge). “Don’t Pass Line” ?????? ??????????: ??????, ???? ??????? 7 ?? “point”. ???? ?? ?????? ?????????? «????????????», ???? ??? ????? ????? ??????????? ??????, ???????? ???? ????????? “Odds”.

2.2. ??????? ??????: «Place», «Buy», «Lay» – ???? ???? ?????????

“Place” ???????? ??????? ?? ????????? ????? (4, 5, 6, 8, 9, 10) ????? ???????????? “point”. ???? ??????? ?????? “Place 6” ??? “Place 8”, House Edge ????????? ???? 1,52?%, ?? ?????? ?? ????????? ??? ??????????? ?????????? ?????????. “Buy” – ?? ????? ??????, ??? ? ???????? 2?:?1 ? ?????????? “commission” 5?% ??? ???? ??????; ???? ???????? ????? ???????, ???????? ?? 4 ? 10. “Lay” – ?????????? “Buy”, ???????, ???? ??????? ??????, ?? 7 ?????? ??????, ??? ??? House Edge 2,44?% ?? 4 ? 10.

3. ????????? ???: ???????????? ??????????? ???????????? ??? ??? ???

??????? ?????? ?raps ????? ???????????? ???????????? ??????????, ??? ???????? ???? ??? ????? ?????, ???????????? ??????? ????? “point” ?? ??????????? ????????? ??????? “Odds”. ?????????, ???????? “CrapsTracker” ????????????? ?? API ????????????? ? ???????? ?????? “win?rate” ?? ??????? 100 ??????. ?? ???????? ?????? ??????? ????????, ??? ?????? ???????? ??? ???????? ???????? ??? ?????? ??? ????????? ?????.

??????? «?????????» (dice roll history) ????????? ????????????? ???????????, ?? ????????? ?????? ?????????, ?? ? ????????? ?? ?????? ???. ???? ????? ??????????? ???????????, ????????? ????????????? ???? ????????? ??????????? ? ????????? ??????.

???????????? ?????????? ???? ??????? ????: ?????????? ?????? “Pass Line”, “Don’t Pass”, “Odds” ? ???????? ??????? ???????? ?????? ?????? ?? ???????????, ?? ???????? ??????? ? ??????? ??????????? ??????.

3.1. ??????? ?? ?????????? ??? ?????????

• CrapsHelper – ????????? ??????? ?????? ? ????????? ????, ??????? House Edge.
• BetOptimizer – ??????????? ?????????? ?????????? ???? “Odds” ??????? ??? ??????? ????????.
• RollStats – ???????? ??????? ?????? ? ???????? ???? ?????, ???????? ???????????? CSV.

3.2. ???????? ???????: ?? ????? ?????????

???????? ?????????, ???? ?? “CrapsPro Mobile”, ?????????? ?? ? ???????, ?? ? ??????????????, ??? ? ????????? ???????? ???????? ????? ?????? ?????. ?????: ??????????? ? ????????? ???, ?????????? ????? ? ????????????? ? ?????????? RNG. ??????: ?????????? ????? ?????? ????? ??? ?????????? ?? ?? ???????? ?????????? ????????????.

4. ????????? ????????? ? ???????????? ROI

?????????? ?????????

1. ?????? “Pass Line” ?? ??????.
2. ????? ???????????? “point” ??????? “Odds” ? ??????? 3?? ???????? ???????? ????.
3. ???? “point” ???????, ?????????? ???? 2; ???? 7 – ???????????? ?? “Pass Line”.

?? ????????? ????????? House Edge (?? 0,8?% ? ????????????? “Odds”) ? ????????? ????????, ??? ?????? ???????????? ?? ??????? ????????.

??????? 3?2?1 – ?????? ??? ??????? ? ?????????

1. ???????? ????????: 50?% ?? “Pass Line” + “Odds”, 30?% ?? “Place 6/8”, 20?% ?? “Buy 4/10”.
2. ???? ?????? “Place 6/8”, ??????? ??????? ?????????? ? “Buy 4/10”.
3. ??? ????? ??????????? ????????? – ????????? “Odds” ?? 50?% ? ?????????? ?? “Pass Line” ??? ?????????? ??????.

???????? ??????

• ???????????? ????? ????? ? 5?% ??? ?????????? ???????? ?? ?????.
• ???? ???????? 10?% – ???????? ??????? ????????, ????????? ??????? ?????? ?? 30?%.

4.1. ????????? «??????????» – ??????? ?????? ??? ????????

???????? ????? ???????? ? ?????? ??????? ?????? “Pass Line”. ????? ??????? ????????? “point” ??????? “Odds” ? ??????? 2?? ??? 3?? ??????? ??????, ??????? ??? ??????? ????????. ?????? ??????? – ??????? ??????? ?????? “Odds” ?? ???????, ?? ?????? ???????? ??????? ??? ??????? ?????????????.

4.2. ??????? 3?2?1 – ?????? ??? ??????? ? ?????????

? ??? ??????? ??????? ????????????? ??????? ?????????: “Pass Line” ?????????? ????????????, “Place 6/8” ????? ?????? ???????, ? “Buy 4/10” – ?????? ??????? ??? ???????? House Edge. ???????: ??????? 1?000????, ??????? 10???? ?? “Pass Line”, 6???? ?? “Odds”, 3???? ?? “Place 6”, 1???? ?? “Buy 4”. ???? ???????? ?? “Buy 4”, ????????? 2?:?1, ?? ???????? ????????? ROI ?? 5?% ?? ?????.

5. ?????????? ?????????: ?????????? ?? ???????????? ????????

????? ????? ???????? ??????? ?????? ????????, ????? (bp – q)/b, ?? b – ?????????? ???????, p – ??????????? ???????, q = 1 – p. ??? “Pass Line” ? “Odds” ?? ????? ??? 2?3?% ??? ?????????? ????????. ?????????? ???????? (?????????, 5?% ??? ???????? ?? ????? ??????) ?????????, ??? ???? ????????? ?? ???????? ?????????? ??? ???????? RTP.

???????????? ?????? ????????? «????? ?? ??????????????», ???? ??????? ???????? ?????? ????? ????? ?????????, ?? «????? ??????», ???? ??????, ?? «????????????» ?????????? ????? ?????? ????????? ??????. ?????? ????? ?????????? ????? ??????? ?????.

????????? ??????:

• ????????????? ???????? ????? ????? (?????????, 200????) ? ?????? ???? ?????????????.
• ??????????????? ??????: ????? ?? ?????? 60 ?????? ??? ???????, ??? ???????? ?????.
• ????????? ????? ????? ? ?????????, ????????? ?????? ??????, ??????? ?? ????????? ???? – ?? ????????? ??????? ??????? ?????????.

6. ???????????? ?????? ?????? ??????????????? ??? ??? ? ?raps

6.1. ???????? ???????????? ?? ????????? RNG

??? ?raps ???????, ??? RNG ???????? ??? ????????, ?? ????? ????? ??????? ?? ??????? ?????? ? ????????? ????. ????????? ? ????????????? iTech Labs ??? GLI ??????????, ?? ????????? ?????????? ????? ????????? ???????????? ?????????, ?? ????????? ?????????? ????????? ??????? ?? ?????????? ??????????? ???.

6.2. ?????????? ?????? ?? ?? ??????? ????????

?????? ????? ???????????? ?? “100?% ?? 10?000???? + 50 ???????????? ??????”. ????? ????? ???????????? (wagering) ?????? ???????? 30????????? ??????? ??????, ????????? ?????? ?? ?raps. ???? ??????? ???????? ?????? ?????????????? ?? (???? ?????? ÷ ??????) × ???????? RTP. ???? ????? 5?000???? ? ??????? 30×, ??????? ???????? ????????? ???? 166????, ?? ????? ??????????? ??? ?????? ??????????.

????????

? ?raps ????? ???????? ??? ????? ??????????????? ?????????: ????????? ????????? ????????????, ???????????? ???????? ??????????? ???????????? ?? ???????????????? ?????????? ?????????. ???????????? ?????? ???????, ?? ?????? “Pass Line”, “Don’t Pass” ?? “Odds” ????? ???????? ???????? ???????, ? ????????? ???????????? ???????? ?? ??????? ????? ??? ?????????? ????????? ?????? ????? ??????? ?????? ??????. ???????? ???????????, ???? ?? ??????? ??? ???????? ?? ???????? ???????, ?????????? ???????????? ??????? ?????? ? ?????? ?????????? ?????????.

?? ???? ??????? ??????? ??????? ?????????????, ??? ????? ?????????? ????????, ??????? RNG ?? ??????? ????? ???????. ?????, ????????? ? ???????, ????????? ?????? ?????????, ? ?????? ?????? ?????? ??????? ???? ????? ???????? ?????????? ??? ?????????? ????? ??????? ?? ???????.

???????????? ???????? ??????, ?? ??????? ????????? ???? ROI, ???????? ??????? ????????????? ?????? ? ????? ?????????????. ??????? ???????? ?????? ? ????????? ?????!