What are the odds of forming each kind of hand in poker?
In the table below, Frequency represents the number of ways this hand can be made from the 7 available cards (being the two private Hole Cards and the five Community Cards).
|Hand Combination||Frequency||Probability||Odds Against|
|4,324||0.0032%||30,939 : 1|
|Straight Flush (excluding royal flush)
|37,260||0.0279%||3,589.6 : 1|
|Four of a Kind
|224,848||0.168%||594 : 1|
|3,473,184||2.6%||35.7 : 1|
|Flush (excluding Royal Flush and Straight Flush)
|4,047,644||3.03%||32.1 : 1|
|Straight (excluding Royal Flush and Straight Flush)
|6,180,020||4.62%||20.6 : 1|
|Three of a Kind
|6,461,620||4.83%||19.7 : 1|
|31,433,400||23.5%||3.26 : 1|
|58,627,800||43.8%||1.28 : 1|
|High Card Only
|23,294,460||17.4%||4.74 : 1|
The values given for Odds Against and Probability are approximates.
The above video shows a real hand of Match Poker Online™, played during the development stage.
The odds of landing a Straight-Flush on the Flop alone are 1 in 72,193 (excluding a Royal Flush);
AND THEN, Villain (enforser) also had the Nut Flush!
The chances of both of the above happening in this same hand are a staggeringly unlikely 1 in 5,574,332, or 0.00001794%.