3 Card Poker Hand Frequency
Frequency of Hands in 3 Card Poker
The table below lists the frequency and probability by percentage for the different hand ranks in Three Card Poker.
Calculating Frequency of 3-Card Poker Hands
The following describes a method for calculating the frequency of 3-card poker hands. The calculations make extensive use of the combinations without repetition formula (combine formula in Excel) nCr = n! / (r! x (n - r)!)
Any Hand - Total number of 3-card poker hands drawn from a 52 card standard deck.
52C3 = 22100
Straight Flush - There are 12 differently ranked straight flushes from A-2-3 up to Q-K-A in each of the 4 different suits.
12C1 x 4C1 = 48
Three of a Kind - There are 13 differently ranked three of a kinds using 3 of the 4 suits.
13C1 x 4C3 = 52
Straight - The are 12 differently ranked straights from A-2-3 up to Q-K-A. Each of the cards can be 1 of the 4 suits with the straight flushes being excluded.
12C1 x (4C1)3 - 48 = 720
Flush - A flush contains 3 of the 13 ranks, each card belonging to 1 of the 4 suits. The straight flushes are excluded.
13C3 x 4C1 - 48 = 1096
One Pair - There are 13 differently ranked pairs using 2 of 4 suits, the third card being 1 of the 12 remaining ranks using 1 of the 4 suits.
13C1 x 4C2 x 12C1 x 4C1 = 3744
Nothing - Any hand not being one of the above type of hands.
52C3 - 48 - 52 - 720 - 1096 - 3744 = 16440
3 card poker strategy differs from all other types of poker. Most poker hands are based on 5 cards regardless of how many are dealt. Even though 3 card poker uses the same poker hand hierarchy, it is difficult for many players, beginner and pro alike, to reconcile them into only 3 cards. We have created this 3 card poker hand frequency page to give you a quick look at all of the hands and their likely outcomes while you play. It isn't necessary to memorize the hands of 3 card poker or to remember their stats. You can bookmark this page and use it as you play. The best way to develop skills in any poker variety including 3 card poker is to play.
When you are ready to choose your 3 card poker site, you can read the reviews here on ReviewPokerRooms.com to get the best fit for your needs. Every player is different and has different wants in an online poker room. However, there are some things that never change when it comes to poker room quality. We keep those basic needs at the forefront of our investigations when reviewing new poker rooms that come to our attention. With thousands of new online poker rooms appearing every year, we are always on the lookout for the best value for our readers. Each of these sites must pass our requirements for tough security and excellent customer service that is available 24/7. The sites we list always offer outstanding payout percentages and high bonuses.
Once a 3 card poker room passes our tough basic quality test, we rate each characteristic that is important for players in general so you can decide on which site suits your needs best. These characteristics include traffic volume, tournament levels, player skill levels and games offered. Choose one of these top notch poker rooms today to begin playing 3 card poker and enjoy your favorite poker games right from your own home today.
|© 2005-2020 ReviewPokerRooms.com|