	{"id":19887,"date":"2009-05-15T08:06:00","date_gmt":"2009-05-15T08:06:00","guid":{"rendered":"https:\/\/www.pokerstrategy.com\/hu\/strategy\/676\/"},"modified":"2026-06-09T08:08:40","modified_gmt":"2026-06-09T08:08:40","slug":"676","status":"publish","type":"strategy","link":"https:\/\/www.pokerstrategy.com\/hu\/strategy\/weekly-no-limit\/676\/","title":{"rendered":"Fels\u0151 p\u00e1rok: d\u00f6nt\u00e9s a flopon"},"content":{"rendered":"<?xml encoding=\"utf-8\" ?><h1>Fels&#337; p&aacute;rok: d&ouml;nt&eacute;s a flopon<\/h1><table width=\"100%\" border=\"0\" cellpadding=\"0\" cellspacing=\"0\">\n<tbody>\n<tr>\n<td style=\"border-bottom: 0px solid #ffffff\"><img decoding=\"async\" src=\"\/\/www.pokerstrategy.com\/download\/psmag\/bilder\/bild_kolumne.jpg\" width=\"100%\">\n\t\t\t<\/td>\n<\/tr>\n<tr>\n<td class=\"psMagtablehead1\">\n\t\t\t&raquo; NO LIMIT ESSZ&Eacute;<\/td>\n<\/tr>\n<\/tbody>\n<\/table><h1 style=\"color: #d5002d;margin-top: 24px;margin-bottom: 6px;padding-bottom: 0pt\">Fels&#337; p&aacute;rok: d&ouml;nt&eacute;s a flopon<\/h1><p style=\"margin: 0pt;padding: 0pt 0pt 18px\">\n<i>Ghostmaster<\/i>\n<\/p><div align=\"justify\">\nGyakran vagyunk agresszork&eacute;nt jelen a potban, a flopon pedig egy emel&eacute;ssel ker&uuml;l&uuml;nk szembe. Ilyenkor nem mindig lehet azonnal felismerni, hogy mi a megfelel&#337; j&aacute;t&eacute;kl&eacute;p&eacute;s. Megpr&oacute;b&aacute;lom egy kicsit felt&aacute;rni ezt a helyzetet ebben a cikkben.\n<p>Azt gondoltam ki, hogy ezt a cikket valamivel matematika-k&ouml;zpont&uacute;bban alak&iacute;tom, mivel az ilyen sz&aacute;m&iacute;t&aacute;sokat azt&aacute;n &ouml;n&aacute;ll&oacute;an is el tudj&aacute;tok v&eacute;gezni a j&ouml;v&#337;ben.\n<\/p><\/div><h1 style=\"color: #d5002d;margin-top: 24px;margin-bottom: 6px;padding-bottom: 0pt\"><font size=\"3\">El&#337;felt&eacute;telek<\/font> <br>\n<\/h1><div align=\"justify\">\nAhhoz, hogy ezt cikket teljes m&eacute;rt&eacute;kben k&ouml;vetni tudj&aacute;tok, el&#337;sz&ouml;r ismerj&eacute;tek meg nagyj&aacute;b&oacute;l az Equilatort. Egy gyors &uacute;tmutat&oacute;t itt is tal&aacute;ltok: <a href=\"\/software\/6\/\" target=\"_blank\">Equilator<\/a>\n<\/div><h1 style=\"color: #d5002d;margin-top: 24px;margin-bottom: 6px;padding-bottom: 0pt\"><font size=\"3\">Hand 1<\/font><br>\n<\/h1><p><b>Preflop:<\/b> Hero is CO with K<img decoding=\"async\" src=\"\/\/cdn-origin.pokerstrategy.com\/smileys\/heart.png\">, K<img decoding=\"async\" src=\"\/\/cdn-origin.pokerstrategy.com\/smileys\/club.png\">.    <\/p><p>\n<font color=\"#cc3333\">UTG raises to $0.16<\/font>, UTG+1 folds, UTG+2 folds, MP1 folds, MP2 folds, MP3 folds, <font color=\"#cc3333\">Hero raises to $0.48<\/font>, Button folds, SB folds, BB folds, UTG calls $0.32.\n<\/p><p>\n<br>\n<b>Flop:<\/b> ($0.96) 4<img decoding=\"async\" src=\"\/\/cdn-origin.pokerstrategy.com\/smileys\/heart.png\">, T<img decoding=\"async\" src=\"\/\/cdn-origin.pokerstrategy.com\/smileys\/spade.png\">, 7<img decoding=\"async\" src=\"\/\/cdn-origin.pokerstrategy.com\/smileys\/spade.png\"> <font color=\"#0000ff\">(2 players)<\/font>\n<\/p><p>\n<font color=\"#000000\">UTG checks<\/font>, <font color=\"#cc3333\">Hero bets to $0.8<\/font>, UTG raises $3.93 (All-In), Hero ?\n<\/p><p>\n<br>\nFinal Pot: $ 8.82\n<\/p><div align=\"justify\">\nItt igaz&aacute;b&oacute;l egy standard szitu&aacute;ci&oacute;val &aacute;llunk szemben, amivel kapcsolatban azonban &uacute;jra &eacute;s &uacute;jra felmer&uuml;l a k&eacute;rd&eacute;s, hogy itt meg lehet-e adni. El&#337;sz&ouml;r is elemezz&uuml;k ezt a helyzetet.  \n<p>Egy ismeretlen j&aacute;t&eacute;kos emelt UTG poz&iacute;ci&oacute;b&oacute;l - azt felt&eacute;telezz&uuml;k, hogy van n&eacute;mi fogalma a j&aacute;t&eacute;kr&oacute;l, &eacute;s durv&aacute;n olyan sk&aacute;l&aacute;t felt&eacute;telezhet&uuml;nk n&aacute;la, ami a k&ouml;vetkez&#337;k&eacute;ppen n&eacute;z ki: \n<\/p><\/div><p align=\"justify\">\n&nbsp;\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n<i>TT,JJ,QQ,KK,AA,AKo,AKs.<br>\n<\/i>\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n<br>\nA KKT alapj&aacute;n mindig emel&uuml;nk &eacute;s r&aacute;emel&uuml;nk a KK lapokkal, f&uuml;ggetlen&uuml;l att&oacute;l, hogy a m&aacute;sik milyen poz&iacute;ci&oacute;b&oacute;l emelt. Ha &ouml;sszevetj&uuml;k az ellenf&eacute;l k&eacute;zsk&aacute;l&aacute;j&aacute;t a saj&aacute;t kez&uuml;nkkel, akkor az is vil&aacute;goss&aacute; v&aacute;lik, hogy mi&eacute;rt van ez &iacute;gy:\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n&nbsp;\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n<i>equity     win     tie           pots won     pots tied<br>\n<\/i>\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n<i><br>\nHand 0:     34.029%      32.32%     01.71%          109565076       5805990.00   { TT+, AKs, AKo }<br>\n<\/i>\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n<i><br>\nHand 1:     65.971%      64.26%     01.71%          217859136       5805990.00   { KK }<br>\n<\/i>\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n<br>\nAz ellenf&eacute;l kezeivel szemben &aacute;tlagosan 65%-ban el&ouml;l vagyunk. Ha valamilyen k&eacute;zzel el&ouml;l vagyunk az ellenf&eacute;llel szemben, addig emelj&uuml;nk mindig.<\/p><p>Sok ellenf&eacute;l ad meg olyan k&eacute;zzel, amivel UTG poz&iacute;ci&oacute;b&oacute;l emelt, a r&aacute;emel&eacute;sn&eacute;l is (hogy ez most j&oacute;-e vagy sem, azt most hagyjuk, ez nem t&aacute;rgya ennek a cikknek). <\/p><p>A flop a Ts7s4h lapokal val&oacute;j&aacute;ban eg&eacute;szen kellemes, nek&uuml;nk pedig, mint agresszornak, egy nagy potban fels&#337; p&aacute;runk van.  <\/p><p>Az ellenfel&uuml;nk passzolt el&#337;tt&uuml;nk, mi pedig v&eacute;grehajtjuk a folytat&oacute; nyit&aacute;sunkat. Ekkor az ellenf&eacute;l check\/raise all-int j&aacute;tszik az ellenf&eacute;l, mi pedig d&ouml;nt&eacute;s el&eacute; ker&uuml;l&uuml;nk, hogy megadjunk-e, vagy dobjunk. Intuit&iacute;van a legt&ouml;bb ember itt megadna, mi azonban nem intu&iacute;ci&oacute; alapj&aacute;n, hanem sz&aacute;mokkal akarjuk elemezni a helyzetet.  <\/p><p>Legel&#337;sz&ouml;r is gondoljuk v&eacute;gig, milyen kezekkel hajt v&eacute;gre az ellenfel&uuml;nk ilyen j&aacute;t&eacute;kl&eacute;p&eacute;st. Mivel az ellenfel&uuml;nkn&eacute;l m&aacute;r a flop el&#337;tt durv&aacute;n meghat&aacute;roztunk egy k&eacute;zsk&aacute;l&aacute;t, ez&eacute;rt a flopon tov&aacute;bbi szelekt&aacute;l&aacute;st v&eacute;gezhet&uuml;nk.<\/p><p>Ebb&#337;l a legnagyobb val&oacute;sz&iacute;n&#369;s&eacute;g szerint a flopon TT,JJ,QQ,KK,AA,AsKs lapokkal fog c\/r all-in j&aacute;t&eacute;km&oacute;dot j&aacute;tszani. N&eacute;zz&uuml;k meg az Equilatorral, hogy milyen er&#337;s a kez&uuml;nk ezzel a k&eacute;zsk&aacute;l&aacute;val szemben (a flop lapjaival egy&uuml;tt).\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n<br>\n<i>Board: 4h Ts 7s<br>\n<\/i>\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n<i><br>\nDead:<br>\n<\/i>\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n<i><br>\nequity     win     tie           pots won     pots tied<br>\n<\/i>\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n<i><br>\nHand 0:     46.186%      44.11%     02.08%              10044           472.50   { TT+, AsKs }<br>\n<\/i>\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n<i><br>\nHand 1:     53.814%      51.74%     02.08%              11781           472.50   { KcKh }<br>\n<\/i>\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n<br>\nAhogyan l&aacute;thatjuk, ezzel a k&eacute;zsk&aacute;l&aacute;val szemben sz&#369;ken el&ouml;l vagyunk. Amint valamelyik szitu&aacute;ci&oacute;ban t&ouml;bb, mint 50% r&eacute;szesed&eacute;s&uuml;nk van az ellenf&eacute;l k&eacute;zsk&aacute;l&aacute;j&aacute;val szemben, akkor a !matematikailag! helyes j&aacute;t&eacute;kl&eacute;p&eacute;s, ha a p&eacute;nz&uuml;nket a potba helyezz&uuml;k (enn&eacute;l most nem vesz&uuml;nk figyelembe olyan tov&aacute;bbi t&eacute;nyez&#337;ket, mint az ingadoz&aacute;s, &eacute;s a pot m&eacute;rete).<\/p><p>Ebben a k&eacute;zben teh&aacute;t a d&ouml;nt&eacute;s&uuml;nk &iacute;gy hangzik: megad&aacute;s.<\/p><p>Ehhez a k&eacute;zhez megjegyz&eacute;st tal&aacute;ltok a f&uuml;ggel&eacute;kben.<\/p><p>Az eredm&eacute;nyeinkb&#337;l, durv&aacute;n fogalmazva, az al&aacute;bbi k&ouml;vetkeztet&eacute;st vonhatjuk le:<\/p><p>Ha 3-betelt (&eacute;s &iacute;gy m&aacute;r nagy) potunk van, &eacute;s &aacute;tlagban enyh&eacute;n el&ouml;l vagyunk az ellenf&eacute;l k&eacute;zsk&aacute;l&aacute;j&aacute;val szemben, akkor mindig helyes tov&aacute;bbi p&eacute;nzt fektetni a potba.\n<\/p><h1 style=\"color: #d5002d;margin-top: 24px;margin-bottom: 6px;padding-bottom: 0pt\"><font size=\"3\">Hand 2<br>\n<\/font><\/h1><p>\nHero: $12,11\n<\/p><p>\nUTG+2: $6.00\n<\/p><p>\n&nbsp;\n<\/p><p>\n<b> 0,05\/0,10 No-Limit Hold'em <font color=\"blue\">(9 handed)<\/font><\/b>\n<\/p><p>\n<br>\n<b>Preflop:<\/b> Hero is CO with <b>Q<\/b><img decoding=\"async\" src=\"\/\/cdn-origin.pokerstrategy.com\/smileys\/diamond.png\"><b>, Q<\/b><img decoding=\"async\" src=\"\/\/cdn-origin.pokerstrategy.com\/smileys\/spade.png\">\n<\/p><p>\n<i><font color=\"grey\">UTG+1 folds<\/font><\/i>, <font color=\"red\">UTG+2 raises to $0,40<\/font>, <i><font color=\"grey\">3 folds<\/font><\/i>, <font color=\"red\">Hero raises to $1,20<\/font>, <i><font color=\"grey\">3 folds<\/font><\/i>, UTG+2  calls $0,80.\n<\/p><p>\n<br>\n<b>Flop:<\/b> ($2,45) <b>6<\/b><img decoding=\"async\" src=\"\/\/cdn-origin.pokerstrategy.com\/smileys\/heart.png\">,<b> T<\/b><img decoding=\"async\" src=\"\/\/cdn-origin.pokerstrategy.com\/smileys\/club.png\"><b>, 9<\/b><img decoding=\"async\" src=\"\/\/cdn-origin.pokerstrategy.com\/smileys\/club.png\"> <font color=\"blue\">(2 players)<\/font>\n<\/p><p>\n<font color=\"red\">UTG+2 checks<\/font>, <font color=\"red\">Hero bets $2 <\/font>, <font color=\"red\">UTG+2 raises to $4,8 (All-In)<\/font>, Hero ???\n<\/p><p>\n<br>\nFinal Pot: $12\n<\/p><p><\/p><div align=\"justify\">\nHasonl&oacute; szitu&aacute;ci&oacute;, mint az els&#337; k&eacute;zben, &eacute;s m&eacute;gis teljesen m&aacute;s, ahogyan azt r&ouml;gt&ouml;n l&aacute;tni fogjuk. \n<p>El&#337;sz&ouml;r is dobjuk be az &ouml;sszes adatot az Equilatorba:\n<\/p><\/div><p align=\"justify\">\n&nbsp;\n<\/p><div align=\"justify\">\n<i>equity     win     tie           pots won     pots tied<br>\n<\/i>\n<\/div><p align=\"justify\">\n<i><br>\nHand 0:     35.827%      33.23%     02.60%              45396          3550.50   { QQ }<br>\n<\/i>\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n<i><br>\nHand 1:     64.173%      61.57%     02.60%              84123          3550.50   { TT+, AcKc }<br>\n<\/i>\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n<br>\nL&aacute;tjuk, hogy itt csak ~ 36% r&eacute;szesed&eacute;s&uuml;nk van. Ekkor felmer&uuml;l az a k&eacute;rd&eacute;s, hogy mit tegy&uuml;nk most. A pot m&aacute;r &oacute;ri&aacute;si nagy, nek&uuml;nk pedig m&aacute;r csak 2,8$-t kell befektetn&uuml;nk ahhoz, hogy megnyerj&uuml;nk egy 9,2$-os potot.<\/p><p>Most k&eacute;t m&oacute;dod mutatok annak meg&aacute;llap&iacute;t&aacute;s&aacute;ra, hogyan lehet ebben e k&eacute;zben meghozni a helyes d&ouml;nt&eacute;st:\n<\/p><div align=\"justify\">\n<ul>\n<li><b><br>\n\ti) Kisz&aacute;m&iacute;tjuk a v&aacute;rhat&oacute; &eacute;rt&eacute;ket<\/b><\/li>\n<\/ul>\n<\/div><p align=\"justify\">\n<br>\nEW = 0.36*( 12 - 2.8 ) - 0.64*(2.8) = 3.312 - 1.792 = $1.52\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n<br>\nMeglep&#337; m&oacute;don a megad&aacute;s v&aacute;rhat&oacute; &eacute;rt&eacute;ke pozit&iacute;v, &eacute;s nem is kev&eacute;ssel.\n<\/p><div align=\"justify\">\n<ul>\n<li><b><br>\n\tii) Kisz&aacute;m&iacute;tjuk a banki es&eacute;lyt, &eacute;s &ouml;sszevetj&uuml;k azt a r&eacute;szesed&eacute;s&uuml;nkkel<\/b><\/li>\n<\/ul>\n<\/div><p align=\"justify\">\n<br>\n[12 \/ 2.8] :1 = 4.3:1\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n<br>\nA banki es&eacute;lyb&#337;l kisz&aacute;m&iacute;tjuk a sz&aacute;zal&eacute;kos r&eacute;szesed&eacute;st.\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n<br>\n1\/(4.3 + 1) = 18.867%.\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n&nbsp;\n<\/p><div align=\"justify\">\nHa most a banki es&eacute;ly&uuml;nket &ouml;sszevetj&uuml;k a nyer&eacute;si es&eacute;ly&uuml;nkkel, akkor l&aacute;tjuk, hogy nyer&eacute;si es&eacute;lyk&eacute;nt sokkal kedvez&#337;bb banki es&eacute;llyel rendelkez&uuml;nk. Ugyan&uacute;gy megadunk teh&aacute;t, mint a h&uacute;z&oacute;kn&aacute;l.\n<p>A gyakorlatban term&eacute;szetesen nem lehets&eacute;ges j&aacute;t&eacute;k k&ouml;zben alkalmazni ezt az elj&aacute;r&aacute;st, &eacute;s ez csak az ut&oacute;lagos vizsg&aacute;l&oacute;d&aacute;st szolg&aacute;lja.<\/p>\n<p>Ebben a k&eacute;zben egy&eacute;bk&eacute;nt azt is figyelembe kell m&eacute;g venni, hogy a rossz j&aacute;t&eacute;kosok (a j&oacute; j&aacute;t&eacute;kos mindig teljes let&eacute;ttel j&aacute;tszik) sokkal nagyobb k&eacute;zsk&aacute;l&aacute;val j&aacute;tszanak, &eacute;s a nyer&eacute;si es&eacute;lyeink a rossz j&aacute;t&eacute;kosokkal szemben rendszerint m&eacute;g sokkal nagyobbak.&nbsp;\n<\/p><\/div><h1 style=\"color: #d5002d;margin-top: 24px;margin-bottom: 6px;padding-bottom: 0pt\"><font size=\"3\">Hand 3<\/font><\/h1><p>\nFull Tilt No-Limit Hold'em, $1 BB (4 handed)\n<\/p><p>\n<br>\nBB ($123.25)\n<\/p><p>\nHero ($100.05)\n<\/p><p>\nButton ($100)\n<\/p><p>\nSB ($122.90)\n<\/p><p>\n<br>\n<b>Preflop:<\/b> Hero is MP with <img decoding=\"async\" src=\"http:\/\/www.flopturnriver.com\/phpBB2\/images\/smiles\/jd.gif\" border=\"0\">, <img decoding=\"async\" src=\"http:\/\/www.flopturnriver.com\/phpBB2\/images\/smiles\/js.gif\" border=\"0\">.  SB posts a blind of $1.\n<\/p><p>\n<font color=\"#666666\"><i>1 fold<\/i><\/font>, <font color=\"#cc3333\">Hero raises to $3<\/font>, <font color=\"#666666\"><i>1 fold<\/i><\/font>, <font color=\"#cc3333\">SB (poster) raises to $11<\/font>, Hero calls $7.\n<\/p><p>\n<br>\n<b>Flop:<\/b> ($21) <img decoding=\"async\" src=\"http:\/\/www.flopturnriver.com\/phpBB2\/images\/smiles\/8d.gif\" border=\"0\">, <img decoding=\"async\" src=\"http:\/\/www.flopturnriver.com\/phpBB2\/images\/smiles\/4s.gif\" border=\"0\">, <img decoding=\"async\" src=\"http:\/\/www.flopturnriver.com\/phpBB2\/images\/smiles\/7h.gif\" border=\"0\"> <font color=\"#0000ff\">(2 players)<\/font>\n<\/p><p>\n<font color=\"#cc3333\">SB bets $20<\/font>, Hero ???\n<\/p><p><\/p><div align=\"justify\">\nEz az utols&oacute; szitu&aacute;ci&oacute;, amit elemezni szeretn&eacute;k veletek. Gyakran el&#337; is fordul, &eacute;s &uacute;jra &eacute;s &uacute;jra ugyanazok a k&eacute;rd&eacute;sek &eacute;rkeznek ezzel kapcsolatban. Megadjunk, vagy emelj&uuml;nk-e a flopon, &eacute;s mit csin&aacute;ljunk akkor, ha az ellenf&eacute;l ezut&aacute;n all-in megy?\n<p>Ahhoz, hogy megv&aacute;laszoljuk ezt a k&eacute;rd&eacute;st, ism&eacute;t neki&aacute;llunk, &eacute;s ism&eacute;t lej&aacute;tsszuk a helyzetet az Equilatorban. Valamivel agressz&iacute;vebbnek felt&eacute;telezz&uuml;k az ellenfel&uuml;nket, aki valamivel nagyobb sk&aacute;l&aacute;val emelt r&aacute; (AQ+,TT+).\n<\/p><\/div><p>\n&nbsp;\n<\/p><p>\n<i>Board: 8d 4s 7h<br>\n<\/i>\n<\/p><p>\n<i><br>\nDead:<\/i><\/p><p>equity     win     tie           pots won     pots tied<br>\n\n<\/p><p>\n<i><br>\nHand 0:     55.524%      53.86%     01.67%              30392           940.00   { JdJs }<br>\n<\/i>\n<\/p><p>\n<i><br>\nHand 1:     44.476%      42.81%     01.67%              24158           940.00   { TT+, AQs+, AQo+ }<br>\n<\/i>\n<\/p><p>\n&nbsp;\n<\/p><div align=\"justify\">\nElvben most csak azt tudjuk, hogy az ellenfel&uuml;nk folytat&oacute; nyit&aacute;s sk&aacute;l&aacute;j&aacute;val szemben el&ouml;l vagyunk. Aszerint, amit feljebb kider&iacute;tett&uuml;nk, ebben az esetben az emel&eacute;s lenne a helyes j&aacute;t&eacute;kl&eacute;p&eacute;s.\n<p>A gond viszont az, hogy az ellenfel&uuml;nk emel&eacute;s ut&aacute;n csak olyan kezekkel j&aacute;tszik tov&aacute;bb, melyeknek valamennyi nyer&eacute;si val&oacute;sz&iacute;n&#369;s&eacute;g&uuml;k van (ezekbe pedig nem tartozik bele az AQ &eacute;s az AK). A helyzet pedig a k&ouml;vetkez&#337;k&eacute;ppen v&aacute;ltozik:\n<\/p><\/div><p>\n&nbsp;\n<\/p><p>\n<i>Board: 8d 4s 7h<br>\n<\/i>\n<\/p><p>\n<i><br>\nDead:<br>\n<\/i>\n<\/p><p>\n<i><br>\nequity     win     tie           pots won     pots tied<br>\n<\/i>\n<\/p><p>\n<i><br>\nHand 0:     31.188%      28.41%     02.78%               7032           687.00   { JdJs }<br>\n<\/i>\n<\/p><p>\n<i><br>\nHand 1:     68.812%      66.04%     02.78%              16344           687.00   { TT+ }<\/i><\/p><div align=\"justify\">\nAz a k&eacute;zsk&aacute;la teh&aacute;t, amivel az ellenfel&uuml;nk az emel&eacute;s&uuml;nket megadja, illetve all-in megy, &aacute;tlagban megver minket. Hogyan rakjuk most &ouml;ssze ezeket az inform&aacute;ci&oacute;kat, &eacute;s kapjuk meg bel&#337;l&uuml;k a helyes j&aacute;t&eacute;kl&eacute;p&eacute;st?\n<p>Els&#337;k&eacute;nt fel&aacute;ll&iacute;tunk egy k&eacute;pletet a v&aacute;rhat&oacute; &eacute;rt&eacute;khez: \n<\/p><\/div><p align=\"justify\">\n<br>\nEW = W(az ellenf&eacute;l dob)*EW(az ellenf&eacute;l dob) + W(az ellenf&eacute;l megad)*EW(az ellenf&eacute;l megad)\n<\/p><p align=\"justify\">\n<br>\n<b><br>\nHaladjunk l&eacute;p&eacute;senk&eacute;nt:<\/b>\n<\/p><div align=\"justify\">\n<ul>\n<li><b><br>\n\ti) W(az ellenf&eacute;l dob)<\/b> a k&ouml;vetkez&#337; m&oacute;don hat&aacute;rozhat&oacute; meg:<\/li>\n<\/ul>\n<\/div><p align=\"justify\">\nAz ellenfel&uuml;nk emel&eacute;sre a k&ouml;vetkez&#337; kombin&aacute;ci&oacute;kat dobja.\n<\/p><div align=\"justify\">\n<br>\nAK-nak 16 k&uuml;l&ouml;nb&ouml;z&#337; kombin&aacute;ci&oacute;ja van (AsKs, AsKd, AsKh, AsKc etc.) &eacute;s az AQ-nak is 16 k&uuml;l&ouml;nb&ouml;z&#337; kombin&aacute;ci&oacute;ja van. \n<p>-&gt; emel&eacute;sre 32 kombin&aacute;ci&oacute;t dob <\/p>\n<p>Az ellenfel&uuml;nk emel&eacute;sre a k&ouml;vetkez&#337; lapkombin&aacute;ci&oacute;kkal megy all-in. <\/p>\n<p>TT-nek 6 kombin&aacute;ci&oacute;ja van <\/p>\n<p>JJ-nek csak egy (mert n&aacute;lunk van a t&ouml;bbi) <\/p>\n<p>QQ-nak 6 van <\/p>\n<p>KK-nak 6 van <\/p>\n<p>AA-nak 6 van <\/p>\n<p>-&gt; emel&eacute;sre 25 kombin&aacute;ci&oacute;val megy all-in. <\/p>\n<p>Az ellenfel&uuml;nk &ouml;sszesen teh&aacute;t 25 + 32 = 57 kombin&aacute;ci&oacute;t tarthat. <\/p>\n<p>Ebb&#337;l k&ouml;vetkezik: <\/p>\n<p>W(ellenf&eacute;l dob) = 32\/57 = 56.1% <\/p>\n<p>W(ellenf&eacute;l all-in megy) = 25\/57 = 43.9%&nbsp;\n<\/p><\/div><p align=\"justify\">\n&nbsp;\n<\/p><div align=\"justify\">\n<ul>\n<li><b><br>\n\tii)<\/b> <b>EW(ellenf&eacute;l dob)<\/b> meglehet&#337;sen k&ouml;nnyen meghat&aacute;rozhat&oacute;:<\/li>\n<\/ul>\n<p>\nHa emel&uuml;nk, az ellenf&eacute;l pedig dob, akkor megnyerj&uuml;k azt a p&eacute;nzt, ami a potban van. 20$ (pot a flop kezdetekor) + 20$ (az ellenf&eacute;l folytat&oacute; nyit&aacute;sa) = 40$.\n<\/p><\/div><p align=\"justify\">\n&nbsp;\n<\/p><div align=\"justify\">\n<ul>\n<li><b><br>\n\tiii) EW (az ellenf&eacute;l all-in megy)<\/b> a k&ouml;vetkez&#337; m&oacute;don hat&aacute;rozhat&oacute; meg:<\/li>\n<\/ul>\n<\/div><p align=\"justify\">\n<br>\n<i>Board: 8d 4s 7h<br>\n<\/i>\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n<i><br>\nDead:<br>\n<\/i>\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n<i><br>\nequity win tie pots won pots tied<br>\n<\/i>\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n<i><br>\nHand 0: 31.188% 28.41% 02.78% 7032 687.00 { JdJs }<br>\n<\/i>\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n<i><br>\nHand 1: 68.812% 66.04% 02.78% 16344 687.00 { TT+ }<br>\n<\/i>\n<\/p><div align=\"justify\">\n<\/div><p align=\"justify\">\n<br>\nMegn&eacute;zz&uuml;k, hogy milyen er&#337;s a kez&uuml;nk, ha az ellenfel&uuml;nk all-in nyit, &eacute;s l&aacute;thatjuk, hogy &aacute;tlagban 31 sz&aacute;zal&eacute;kunk van.<\/p><p>&Iacute;gy ez a k&ouml;vetkez&#337;t jelenti most: <\/p><p>69%-ban elvesz&iacute;t&uuml;nk 90 doll&aacute;rt (amit ugye befektet&uuml;nk) &eacute;s 31%-ban nyer&uuml;nk 110 doll&aacute;rt (200 doll&aacute;ros pot - 90, amit m&eacute;g a flopon fektet&uuml;nk be)<\/p><p>-&gt; EW (az ellenf&eacute;l megad) = 0.31*110 - 0.69*90 = 34.1 - 62.1 = - 28 <\/p><p>Ezeket az &eacute;rt&eacute;keket behelyezve a kiindul&oacute; egyenlet&uuml;nkbe:<\/p><p>EW = 56.1% * $40 + 43.9% * (- $ 28) = 22.44 - 12.292 = $ 10.15 <\/p><p>Ez azt jelenti, hogy az emel&eacute;s v&aacute;rhat&oacute; &eacute;rt&eacute;ke + 10.15$, &eacute;s &iacute;gy ez a helyes j&aacute;t&eacute;kl&eacute;p&eacute;s.\n<\/p><h1 style=\"color: #d5002d;margin-top: 24px;margin-bottom: 6px;padding-bottom: 0pt\">&Ouml;sszegz&eacute;s<\/h1><p align=\"justify\">\nEz a cikk ink&aacute;bb a p&oacute;kerj&aacute;t&eacute;k m&ouml;g&ouml;tti elm&eacute;leti koncepci&oacute;val foglalkozik. Az &eacute;n szememben azonban egy felfel&eacute; t&ouml;rekv&#337; p&oacute;kerj&aacute;t&eacute;kos sz&aacute;m&aacute;ra fontos, hogy egyszer legal&aacute;bb fel&uuml;letesen foglalkozzon vele, &eacute;s &iacute;gy k&eacute;pes legyen a bonyolult helyzetek &ouml;n&aacute;ll&oacute; megold&aacute;s&aacute;ra.\n<\/p><p>&nbsp;<\/p><h1>\n<\/h1><h1 style=\"color: #d5002d;margin-top: 24px;margin-bottom: 6px;padding-bottom: 0pt\">Megjegyz&eacute;sek az els&#337; leoszt&aacute;shoz<\/h1><p align=\"justify\">\nEkkorra m&aacute;r min&eacute;l nagyobb a pot, ann&aacute;l ink&aacute;bb k&eacute;szek vagyunk matematikai el&#337;nnyel (azzal a 3.814%-kal, amennyivel jobbak vagyunk az ellenfel&uuml;nkn&eacute;l) az &ouml;sszes p&eacute;nz&uuml;nk&eacute;rt j&aacute;tszani. Az a p&eacute;nz, ami m&aacute;r a potban van, az nem a mi&eacute;nk, &eacute;s &iacute;gy azt m&aacute;r nem vesz&iacute;thetj&uuml;k el.  <\/p><p>Ehhez egy kis sz&aacute;m&iacute;t&aacute;s: <\/p><p>A v&aacute;rhat&oacute; &eacute;rt&eacute;k&uuml;nk ebben a helyzetben: <\/p><p>EW = a nyeres&eacute;g val&oacute;sz&iacute;n&#369;s&eacute;ge * v&eacute;gs&#337; pot &ouml;sszege, levonva bel&#337;le a befektet&eacute;s&uuml;nket ( 0.54*(8.82- 3.13)) <\/p><p>- vesztes&eacute;g val&oacute;sz&iacute;n&#369;s&eacute;ge * megfizetend&#337; &ouml;sszeg (0.46*3.13) <\/p><p>= 3.0762 - 1.4398 = $ 1.6328 <\/p><p>Ez azt jelenti, hogy ezzel egy 1.63$-os megad&aacute;st nyer&uuml;nk a bemutatott szitu&aacute;ci&oacute;ban. <\/p><p>&Eacute;ppen most eml&iacute;tettem, hogy fontos &uuml;gyelni a pot m&eacute;ret&eacute;re. Ha azt felt&eacute;telezz&uuml;k, hogy a pot a flopon 25 cent, a fels&#337; p&aacute;runkkal 20 centtel nyitunk, az ellenfel&uuml;nk pedig all-in megy, akkor a v&aacute;rhat&oacute; &eacute;rt&eacute;kkel a k&ouml;vetkez&#337; t&ouml;rt&eacute;nik: <\/p><p>Hero let&eacute;tje: 4.41 <br>\nVillian let&eacute;tje: 4.41 <br>\nPot a flopon: 25 Cent <br>\nPot a nyit&aacute;sunk ut&aacute;n: 45 Cent <br>\nEW = 0.54*(8.82 - 4.11) - 0.46*4.11 = 2.54 - 1.89 = $ 0.65 <\/p><p>Nem emelt pot eset&eacute;n a v&aacute;rhat&oacute; &eacute;rt&eacute;k&uuml;nk valamivel kevesebb lenne.\n<\/p><p align=\"justify\">\nAz&aacute;ltal azonban, hogy a p&oacute;kerben a ter&iacute;t&eacute;sn&eacute;l rendszerint mindig csak egy nyer, a val&oacute;s&aacute;gban term&eacute;szetesen nem fogjuk megnyerni a v&aacute;rhat&oacute; &eacute;rt&eacute;k&uuml;nket, hanem csup&aacute;n vagy megnyerj&uuml;k, vagy elvesz&iacute;tj&uuml;k a teljes potot.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Gyakran vagyunk agresszork\u00e9nt jelen a potban, a flopon pedig egy emel\u00e9ssel ker\u00fcl\u00fcnk szembe. Ilyenkor nem mindig lehet azonnal felismerni, hogy mi a megfelel\u0151 j\u00e1t\u00e9kl\u00e9p\u00e9s. Megpr\u00f3b\u00e1lom egy kicsit felt\u00e1rni ezt a helyzetet ebben a cikkben.<\/p>\n","protected":false},"author":1,"featured_media":0,"template":"","meta":{"_acf_changed":false,"inline_featured_image":false,"_lmt_disableupdate":"","_lmt_disable":""},"strategy_category":[39],"strategy_level":[115],"class_list":["post-19887","strategy","type-strategy","status-publish","hentry","strategy_category-no-limit-bss"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Fels\u0151 p\u00e1rok: d\u00f6nt\u00e9s a flopon - PokerStrategy HU<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.pokerstrategy.com\/hu\/strategy\/weekly-no-limit\/676\/\" \/>\n<meta property=\"og:locale\" content=\"hu_HU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Fels\u0151 p\u00e1rok: d\u00f6nt\u00e9s a flopon - PokerStrategy HU\" \/>\n<meta property=\"og:description\" content=\"Gyakran vagyunk agresszork\u00e9nt jelen a potban, a flopon pedig egy emel\u00e9ssel ker\u00fcl\u00fcnk szembe. 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