Poker Hand Probabilities
Poker Hand Probabilities are an important tool in your arsenal if you want to put the odds in your favor. The following tables show probabilities of the various five-card poker hands when five cards are dealt from a single 52-card deck, and also when using multiple decks.
The traditional hand types are described on the poker hand ranking page. These include one hand that belongs to two types at once - a straight flush is both a straight and a flush. With two or more decks, it is possible for other combinations to occur, such as a hand that has both a flush and a pair (such as 4-6-6-8-9 all of one suit). The left-hand tables include these composite hand types for multiple decks; in these tables "plain" means a hand that is not a flush.
The hands are listed in descending order of probability, which could be used as the basis for their ranking order in multi-deck poker variations. It can be seen that as the number of decks increases, flushes become easier to make than straights, and sets of equal cards become more common.
Poker hand probabilities for a single deck
Traditional hands
0.001539% straight flush 0.001539% straight flush
0.024010% 4 of a kind plain 0.024010% 4 of a kind
0.144058% full house plain 0.144058% full house
0.196540% nothing flush 0.196540% flush
0.392465% straight plain 0.392465% straight
2.112845% 3 of a kind plain 2.112845% 3 of a kind
4.753902% 2 pairs plain 4.753902% 2 pairs
42.256903% pair plain 42.256903% pair
50.117739% nothing plain 50.117739% nothing
Poker hand probabilities for 2 decks
0.000792% 5 of a kind plain Traditional hands
0.001392% straight flush
0.007464% 2 pairs flush 0.000792% 5 of a kind
0.094995% 4 of a kind plain 0.001392% straight flush
0.099519% pair flush 0.094995% 4 of a kind
0.177742% nothing flush 0.265987% full house
0.265987% full house plain 0.284725% flush
0.354927% straight plain 0.354927% straight
3.343832% 3 of a kind plain 3.343832% 3 of a kind
5.844242% 2 pairs plain 5.844242% 2 pairs
44.484905% pair plain 44.484905% pair
45.324204% nothing plain 45.324204% nothing
Poker hand probabilities for 3 decks
0.000259% full house flush Traditional hands
0.001347% straight flush
0.001427% 5 of a kind plain 0.001347% straight flush
0.004280% 3 of a kind flush 0.001427% 5 of a kind
0.012840% 2 pairs flush 0.128405% 4 of a kind
0.128405% 4 of a kind plain 0.313878% full house
0.128405% pair flush 0.317524% flush
0.171999% nothing flush 0.343460% straight
0.313618% full house plain 3.762252% 3 of a kind
0.343460% straight plain 6.201937% 2 pairs
3.762252% 3 of a kind plain 43.859790% nothing
6.201937% 2 pairs plain 45.069980% pair
43.859790% nothing plain
45.069980% pair plain
Poker hand probabilities for 4 decks
0.000081% 4 of a kind flush Traditional hands
0.000484% full house flush
0.001325% straight flush 0.001325% straight flush
0.001837% 5 of a kind plain 0.001837% 5 of a kind
0.007106% 3 of a kind flush 0.146964% 4 of a kind
0.015988% 2 pairs flush 0.334432% flush
0.142119% pair flush 0.337906% straight
0.146884% 4 of a kind plain 0.339149% full house
0.169218% nothing flush 3.972239% 3 of a kind
0.337906% straight plain 6.379388% 2 pairs
0.338664% full house plain 43.150650% nothing
3.972239% 3 of a kind plain 45.336110% pair
6.379388% 2 pairs plain
43.150650% nothing plain
45.336110% pair plain
Poker hand probabilities for 5 decks
0.000001% 5 of a kind flush Traditional hands
0.000164% 4 of a kind flush
0.000655% full house flush 0.001312% straight flush
0.001312% straight flush 0.002116% 5 of a kind
0.002115% 5 of a kind plain 0.158695% 4 of a kind
0.009007% 3 of a kind flush 0.334631% straight
0.018015% 2 pairs flush 0.344725% flush
0.150124% pair flush 0.354730% full house
0.158531% 4 of a kind plain 4.098397% 3 of a kind
0.167578% nothing flush 6.485375% 2 pairs
0.334631% straight plain 42.732316% nothing
0.354075% full house plain 45.487703% pair
4.098397% 3 of a kind plain
6.485375% 2 pairs plain
42.732316% nothing plain
45.487703% pair plain
Poker hand probabilities for 6 decks
0.000001% 5 of a kind flush Traditional hands
0.000235% 4 of a kind flush
0.000785% full house flush 0.001304% straight flush
0.001304% straight flush 0.002316% 5 of a kind
0.002315% 5 of a kind plain 0.166764% 4 of a kind
0.010358% 3 of a kind flush 0.332469% straight
0.019421% 2 pairs flush 0.351644% flush
0.155370% pair flush 0.365291% full house
0.166496% nothing flush 4.182553% 3 of a kind
0.166528% 4 of a kind plain 6.555826% 2 pairs
0.332469% straight plain 42.456354% nothing
0.364507% full house plain 45.585478% pair
4.182553% 3 of a kind plain
6.555826% 2 pairs plain
42.456354% nothing plain
45.585478% pair plain
Poker hand probabilities for 7 decks
0.000002% 5 of a kind flush Traditional hands
0.000295% 4 of a kind flush
0.000885% full house flush 0.001298% straight flush
0.001298% straight flush 0.002466% 5 of a kind
0.002464% 5 of a kind plain 0.172648% 4 of a kind
0.011362% 3 of a kind flush 0.330937% straight
0.020452% 2 pairs flush 0.356615% flush
0.159072% pair flush 0.372920% full house
0.165728% nothing flush 4.242684% 3 of a kind
0.172353% 4 of a kind plain 6.606043% 2 pairs
0.330937% straight plain 42.260656% nothing
0.372034% full house plain 45.653734% pair
4.242684% 3 of a kind plain
6.606043% 2 pairs plain
42.260656% nothing plain
45.653734% pair plain
Poker hand probabilities for 8 decks
0.000003% 5 of a kind flush Traditional hands
0.000345% 4 of a kind flush
0.000965% full house flush 0.001293% straight flush
0.001293% straight flush 0.002583% 5 of a kind
0.002580% 5 of a kind plain 0.177128% 4 of a kind
0.012137% 3 of a kind flush 0.329794% straight
0.021240% 2 pairs flush 0.360357% flush
0.161825% pair flush 0.378687% full house
0.165155% nothing flush 4.287791% 3 of a kind
0.176783% 4 of a kind plain 6.643648% 2 pairs
0.329794% straight plain 42.114652% nothing
0.377721% full house plain 45.704068% pair
4.287791% 3 of a kind plain
6.643648% 2 pairs plain
42.114652% nothing plain
45.704068% pair plain
Poker hand probabilities for 9 decks
0.000004% 5 of a kind flush Traditional hands
0.000386% 4 of a kind flush
0.001030% full house flush 0.001290% straight flush
0.001290% straight flush 0.002676% 5 of a kind
0.002673% 5 of a kind plain 0.180651% 4 of a kind
0.012752% 3 of a kind flush 0.328908% straight
0.021860% 2 pairs flush 0.363276% flush
0.163952% pair flush 0.383200% full house
0.164712% nothing flush 4.322878% 3 of a kind
0.180265% 4 of a kind plain 6.672862% 2 pairs
0.328908% straight plain 42.001546% nothing
0.382169% full house plain 45.742713% pair
4.322878% 3 of a kind plain
6.672862% 2 pairs plain
42.001546% nothing plain
45.742713% pair plain
Poker hand probabilities for 10 decks
0.000004% 5 of a kind flush Traditional hands
0.000422% 4 of a kind flush
0.001084% full house flush 0.001287% straight flush
0.001287% straight flush 0.002752% 5 of a kind
0.002748% 5 of a kind plain 0.183495% 4 of a kind
0.013252% 3 of a kind flush 0.328202% straight
0.022362% 2 pairs flush 0.365617% flush
0.164358% nothing flush 0.386827% full house
0.165645% pair flush 4.350949% 3 of a kind
0.183073% 4 of a kind plain 6.696211% 2 pairs
0.328202% straight plain 41.911346% nothing
0.385743% full house plain 45.773314% pair
4.350949% 3 of a kind plain
6.696211% 2 pairs plain
41.911346% nothing plain
45.773314% pair plain
Poker hand probabilities for 11 decks
0.000005% 5 of a kind flush Traditional hands
0.000452% 4 of a kind flush
0.001129% full house flush 0.001285% straight flush
0.001285% straight flush 0.002816% 5 of a kind
0.002811% 5 of a kind plain 0.185838% 4 of a kind
0.013666% 3 of a kind flush 0.327625% straight
0.022776% 2 pairs flush 0.367536% flush
0.164070% nothing flush 0.389806% full house
0.167025% pair flush 4.373919% 3 of a kind
0.185386% 4 of a kind plain 6.715300% 2 pairs
0.327625% straight plain 41.837733% nothing
0.388677% full house plain 45.798143% pair
4.373919% 3 of a kind plain
6.715300% 2 pairs plain
41.837733% nothing plain
45.798143% pair plain
Poker hand probabilities for 12 decks
0.000005% 5 of a kind flush Traditional hands
0.000478% 4 of a kind flush
0.001168% full house flush 0.001283% straight flush
0.001283% straight flush 0.002869% 5 of a kind
0.002864% 5 of a kind plain 0.187801% 4 of a kind
0.014014% 3 of a kind flush 0.327146% straight
0.023123% 2 pairs flush 0.369137% flush
0.163829% nothing flush 0.392296% full house
0.168170% pair flush 4.393060% 3 of a kind
0.187324% 4 of a kind plain 6.731197% 2 pairs
0.327146% straight plain 41.776518% nothing
0.391129% full house plain 45.818692% pair
4.393060% 3 of a kind plain
6.731197% 2 pairs plain
41.776518% nothing plain
45.818692% pair plain
Poker hand probabilities for 13 decks
0.000006% 5 of a kind flush Traditional hands
0.000500% 4 of a kind flush
0.001201% full house flush 0.001281% straight flush
0.001281% straight flush 0.002915% 5 of a kind
0.002909% 5 of a kind plain 0.189471% 4 of a kind
0.014312% 3 of a kind flush 0.326741% straight
0.023419% 2 pairs flush 0.370494% flush
0.163627% nothing flush 0.394409% full house
0.169136% pair flush 4.409257% 3 of a kind
0.188971% 4 of a kind plain 6.744641% 2 pairs
0.326741% straight plain 41.724811% nothing
0.393208% full house plain 45.835980% pair
4.409257% 3 of a kind plain
6.744641% 2 pairs plain
41.724811% nothing plain
45.835980% pair plain
Poker hand probabilities for 14 decks
0.000006% 5 of a kind flush Traditional hands
0.000520% 4 of a kind flush
0.001230% full house flush 0.001280% straight flush
0.001280% straight flush 0.002955% 5 of a kind
0.002948% 5 of a kind plain 0.190908% 4 of a kind
0.014568% 3 of a kind flush 0.326394% straight
0.023673% 2 pairs flush 0.371658% flush
0.163453% nothing flush 0.396224% full house
0.169963% pair flush 4.423141% 3 of a kind
0.190388% 4 of a kind plain 6.756160% 2 pairs
0.326394% straight plain 41.680557% nothing
0.394994% full house plain 45.850724% pair
4.423141% 3 of a kind plain
6.756160% 2 pairs plain
41.680557% nothing plain
45.850724% pair plain
Poker hand probabilities for 15 decks
0.000007% 5 of a kind flush Traditional hands
0.000538% 4 of a kind flush
0.001255% full house flush 0.001279% straight flush
0.001279% straight flush 0.002989% 5 of a kind
0.002983% 5 of a kind plain 0.192158% 4 of a kind
0.014792% 3 of a kind flush 0.326094% straight
0.023895% 2 pairs flush 0.372667% flush
0.163303% nothing flush 0.397800% full house
0.170677% pair flush 4.435173% 3 of a kind
0.191620% 4 of a kind plain 6.766139% 2 pairs
0.326094% straight plain 41.642252% nothing
0.396545% full house plain 45.863448% pair
4.435173% 3 of a kind plain
6.766139% 2 pairs plain
41.642252% nothing plain
45.863448% pair plain
Poker hand probabilities for 16 decks
0.000007% 5 of a kind flush Traditional hands
0.000554% 4 of a kind flush
0.001277% full house flush 0.001278% straight flush
0.001278% straight flush 0.003020% 5 of a kind
0.003013% 5 of a kind plain 0.193254% 4 of a kind
0.014989% 3 of a kind flush 0.325832% straight
0.024089% 2 pairs flush 0.373551% flush
0.163172% nothing flush 0.399181% full house
0.171301% pair flush 4.445702% 3 of a kind
0.192701% 4 of a kind plain 6.774867% 2 pairs
0.325832% straight plain 41.608774% nothing
0.397904% full house plain 45.874541% pair
4.445702% 3 of a kind plain
6.774867% 2 pairs plain
41.608774% nothing plain
45.874541% pair plain
Poker hand probabilities for 17 decks
0.000007% 5 of a kind flush Traditional hands
0.000568% 4 of a kind flush
0.001277% straight flush 0.001277% straight flush
0.001297% full house flush 0.003047% 5 of a kind
0.003039% 5 of a kind plain 0.194225% 4 of a kind
0.015163% 3 of a kind flush 0.325601% straight
0.024261% 2 pairs flush 0.374332% flush
0.163056% nothing flush 0.400402% full house
0.171851% pair flush 4.454992% 3 of a kind
0.193657% 4 of a kind plain 6.782566% 2 pairs
0.325601% straight plain 41.579263% nothing
0.399104% full house plain 45.884296% pair
4.454992% 3 of a kind plain
6.782566% 2 pairs plain
41.579263% nothing plain
45.884296% pair plain
Poker hand probabilities for 18 decks
0.000008% 5 of a kind flush Traditional hands
0.000580% 4 of a kind flush
0.001276% straight flush 0.001276% straight flush
0.001315% full house flush 0.003071% 5 of a kind
0.003063% 5 of a kind plain 0.195089% 4 of a kind
0.015319% 3 of a kind flush 0.325396% straight
0.024415% 2 pairs flush 0.375026% flush
0.162953% nothing flush 0.401488% full house
0.172339% pair flush 4.463250% 3 of a kind
0.194509% 4 of a kind plain 6.789408% 2 pairs
0.325396% straight plain 41.553054% nothing
0.400173% full house plain 45.892942% pair
4.463250% 3 of a kind plain
6.789408% 2 pairs plain
41.553054% nothing plain
45.892942% pair plain
Poker hand probabilities for 19 decks
0.000008% 5 of a kind flush Traditional hands
0.000592% 4 of a kind flush
0.001275% straight flush 0.001275% straight flush
0.001331% full house flush 0.003093% 5 of a kind
0.003085% 5 of a kind plain 0.195864% 4 of a kind
0.015459% 3 of a kind flush 0.325212% straight
0.024552% 2 pairs flush 0.375648% flush
0.162861% nothing flush 0.402461% full house
0.172775% pair flush 4.470639% 3 of a kind
0.195273% 4 of a kind plain 6.795528% 2 pairs
0.325212% straight plain 41.529622% nothing
0.401130% full house plain 45.900658% pair
4.470639% 3 of a kind plain
6.795528% 2 pairs plain
41.529622% nothing plain
45.900658% pair plain
Poker hand probabilities for 20 decks
0.000008% 5 of a kind flush Traditional hands
0.000602% 4 of a kind flush
0.001275% straight flush 0.001275% straight flush
0.001346% full house flush 0.003112% 5 of a kind
0.003104% 5 of a kind plain 0.196563% 4 of a kind
0.015585% 3 of a kind flush 0.325047% straight
0.024676% 2 pairs flush 0.376207% flush
0.162779% nothing flush 0.403338% full house
0.173167% pair flush 4.477288% 3 of a kind
0.195961% 4 of a kind plain 6.801035% 2 pairs
0.325047% straight plain 41.508548% nothing
0.401992% full house plain 45.907586% pair
4.477288% 3 of a kind plain
6.801035% 2 pairs plain
41.508548% nothing plain
45.907586% pair plain
Poker hand probabilities for 21 decks
0.000008% 5 of a kind flush Traditional hands
0.000612% 4 of a kind flush
0.001274% straight flush 0.001274% straight flush
0.001359% full house flush 0.003130% 5 of a kind
0.003122% 5 of a kind plain 0.197197% 4 of a kind
0.015700% 3 of a kind flush 0.324898% straight
0.024789% 2 pairs flush 0.376714% flush
0.162704% nothing flush 0.404131% full house
0.173522% pair flush 4.483305% 3 of a kind
0.196585% 4 of a kind plain 6.806017% 2 pairs
0.324898% straight plain 41.489493% nothing
0.402772% full house plain 45.913841% pair
4.483305% 3 of a kind plain
6.806017% 2 pairs plain
41.489493% nothing plain
45.913841% pair plain
Poker hand probabilities for 22 decks
0.000008% 5 of a kind flush Traditional hands
0.000620% 4 of a kind flush
0.001274% straight flush 0.001274% straight flush
0.001371% full house flush 0.003146% 5 of a kind
0.003138% 5 of a kind plain 0.197773% 4 of a kind
0.015804% 3 of a kind flush 0.324763% straight
0.024891% 2 pairs flush 0.377175% flush
0.162636% nothing flush 0.404854% full house
0.173843% pair flush 4.488774% 3 of a kind
0.197153% 4 of a kind plain 6.810545% 2 pairs
0.324763% straight plain 41.472180% nothing
0.403482% full house plain 45.919517% pair
4.488774% 3 of a kind plain
6.810545% 2 pairs plain
41.472180% nothing plain
45.919517% pair plain
Poker hand probabilities for 23 decks
0.000009% 5 of a kind flush Traditional hands
0.000628% 4 of a kind flush
0.001273% straight flush 0.001273% straight flush
0.001383% full house flush 0.003161% 5 of a kind
0.003153% 5 of a kind plain 0.198301% 4 of a kind
0.015899% 3 of a kind flush 0.324639% straight
0.024985% 2 pairs flush 0.377595% flush
0.162574% nothing flush 0.405514% full house
0.174137% pair flush 4.493768% 3 of a kind
0.197672% 4 of a kind plain 6.814678% 2 pairs
0.324639% straight plain 41.456381% nothing
0.404131% full house plain 45.924690% pair
4.493768% 3 of a kind plain
6.814678% 2 pairs plain
41.456381% nothing plain
45.924690% pair plain
Poker hand probabilities for 24 decks
0.000009% 5 of a kind flush Traditional hands
0.000636% 4 of a kind flush
0.001273% straight flush 0.001273% straight flush
0.001393% full house flush 0.003175% 5 of a kind
0.003166% 5 of a kind plain 0.198785% 4 of a kind
0.015987% 3 of a kind flush 0.324525% straight
0.025071% 2 pairs flush 0.377981% flush
0.162517% nothing flush 0.406119% full house
0.174406% pair flush 4.498346% 3 of a kind
0.198149% 4 of a kind plain 6.818466% 2 pairs
0.324525% straight plain 41.441905% nothing
0.404726% full house plain 45.929424% pair
4.498346% 3 of a kind plain
6.818466% 2 pairs plain
41.441905% nothing plain
45.929424% pair plain
Poker hand probabilities for 25 decks
0.000009% 5 of a kind flush Traditional hands
0.000643% 4 of a kind flush
0.001272% straight flush 0.001272% straight flush
0.001402% full house flush 0.003188% 5 of a kind
0.003179% 5 of a kind plain 0.199230% 4 of a kind
0.016068% 3 of a kind flush 0.324421% straight
0.025150% 2 pairs flush 0.378336% flush
0.162465% nothing flush 0.406676% full house
0.174653% pair flush 4.502558% 3 of a kind
0.198588% 4 of a kind plain 6.821951% 2 pairs
0.324421% straight plain 41.428593% nothing
0.405274% full house plain 45.933774% pair
4.502558% 3 of a kind plain
6.821951% 2 pairs plain
41.428593% nothing plain
45.933774% pair plain
Poker hand probabilities for 26 decks
0.000009% 5 of a kind flush Traditional hands
0.000649% 4 of a kind flush
0.001272% straight flush 0.001272% straight flush
0.001411% full house flush 0.003199% 5 of a kind
0.003190% 5 of a kind plain 0.199642% 4 of a kind
0.016143% 3 of a kind flush 0.324325% straight
0.025223% 2 pairs flush 0.378664% flush
0.162417% nothing flush 0.407191% full house
0.174881% pair flush 4.506445% 3 of a kind
0.198993% 4 of a kind plain 6.825168% 2 pairs
0.324325% straight plain 41.416310% nothing
0.405780% full house plain 45.937783% pair
4.506445% 3 of a kind plain
6.825168% 2 pairs plain
41.416310% nothing plain
45.937783% pair plain
Poker hand probabilities for 27 decks
0.000009% 5 of a kind flush Traditional hands
0.000655% 4 of a kind flush
0.001272% straight flush 0.001272% straight flush
0.001419% full house flush 0.003210% 5 of a kind
0.003201% 5 of a kind plain 0.200024% 4 of a kind
0.016212% 3 of a kind flush 0.324236% straight
0.025291% 2 pairs flush 0.378968% flush
0.162372% nothing flush 0.407668% full house
0.175092% pair flush 4.510045% 3 of a kind
0.199369% 4 of a kind plain 6.828146% 2 pairs
0.324236% straight plain 41.404941% nothing
0.406249% full house plain 45.941491% pair
4.510045% 3 of a kind plain
6.828146% 2 pairs plain
41.404941% nothing plain
45.941491% pair plain
Poker hand probabilities for 28 decks
0.000009% 5 of a kind flush Traditional hands
0.000661% 4 of a kind flush
0.001271% straight flush 0.001271% straight flush
0.001427% full house flush 0.003220% 5 of a kind
0.003211% 5 of a kind plain 0.200379% 4 of a kind
0.016277% 3 of a kind flush 0.324153% straight
0.025354% 2 pairs flush 0.379250% flush
0.162331% nothing flush 0.408111% full house
0.175288% pair flush 4.513387% 3 of a kind
0.199718% 4 of a kind plain 6.830910% 2 pairs
0.324153% straight plain 41.394388% nothing
0.406684% full house plain 45.944930% pair
4.513387% 3 of a kind plain
6.830910% 2 pairs plain
41.394388% nothing plain
45.944930% pair plain
Poker hand probabilities for 29 decks
0.000010% 5 of a kind flush Traditional hands
0.000666% 4 of a kind flush
0.001271% straight flush 0.001271% straight flush
0.001434% full house flush 0.003230% 5 of a kind
0.003220% 5 of a kind plain 0.200709% 4 of a kind
0.016337% 3 of a kind flush 0.324076% straight
0.025413% 2 pairs flush 0.379512% flush
0.162292% nothing flush 0.408524% full house
0.175470% pair flush 4.516499% 3 of a kind
0.200044% 4 of a kind plain 6.833484% 2 pairs
0.324076% straight plain 41.384566% nothing
0.407090% full house plain 45.948128% pair
4.516499% 3 of a kind plain
6.833484% 2 pairs plain
41.384566% nothing plain
45.948128% pair plain
Poker hand probabilities for 30 decks
0.000010% 5 of a kind flush Traditional hands
0.000671% 4 of a kind flush
0.001271% straight flush 0.001271% straight flush
0.001441% full house flush 0.003239% 5 of a kind
0.003229% 5 of a kind plain 0.201018% 4 of a kind
0.016393% 3 of a kind flush 0.324005% straight
0.025468% 2 pairs flush 0.379758% flush
0.162256% nothing flush 0.408909% full house
0.175640% pair flush 4.519404% 3 of a kind
0.200348% 4 of a kind plain 6.835886% 2 pairs
0.324005% straight plain 41.375401% nothing
0.407468% full house plain 45.951110% pair
4.519404% 3 of a kind plain
6.835886% 2 pairs plain
41.375401% nothing plain
45.951110% pair plain
Poker hand probabilities for infinite decks
0.000014% 5 of a kind flush Traditional hands
0.000821% 4 of a kind flush
0.001262% straight flush 0.001262% straight flush
0.001641% full house flush 0.003501% 5 of a kind
0.003488% 5 of a kind plain 0.210077% 4 of a kind
0.018053% 3 of a kind flush 0.321932% straight
0.027080% 2 pairs flush 0.386887% flush
0.161219% nothing flush 0.420153% full house
0.180535% pair flush 4.603633% 3 of a kind
0.209256% 4 of a kind plain 6.905450% 2 pairs
0.321932% straight plain 41.110769% nothing
0.418512% full house plain 46.036335% pair
4.603633% 3 of a kind plain
6.905450% 2 pairs plain
41.110769% nothing plain
46.036335% pair plain
|
Poker Online.za.net - South Africa’s premiere online poker resource 
