Chances Of Hitting Poker Hands

Poker Odds and Charts Chances of hitting, flopping and holding certain hands. These odds are a must know if you want to advance your game to a high level. For exact odds you can check out our poker hand odds calculator. We rounded the number to the nearest decimal for you. Video Poker Hand Odds: One of the great features of video poker is the fact that the odds of each hand being dealt are the same on every machine (Games with 52 cards of course have different odds to those with 53). While the pays for the wins change the chances of getting the wins do not. The Probability of drawing a given hand is calculated by dividing the number of ways of drawing the hand (Frequency) by the total number of 5-card hands (the sample space; =, ). For example, there are 4 different ways to draw a royal flush (one for each suit), so the probability is 4 / 2,598,960, or one in 649,740. Poker Odds Charts. Poker odds charts come in useful when you want to quickly work out the odds of winning a hand in Texas Hold'em. The most commonly used odds charts are the 'standard poker odds charts' below, which give both the percentage and ratio odds of completing your draw depending on the number of outs you have (see pot odds and drawing hands for more information).

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One of the great features of video poker is the fact that the odds of each hand being dealt are the same on every machine (Games with 52 cards of course have different odds to those with 53). While the pays for the wins change the chances of getting the wins do not. Below we list the odds of many hands being dealt pat and the odds of winning on the draw for a 52 card game.

Initial Deal Odds

The table below shows the odds of getting any winning hand on the first five cards dealt on a game using 52 cards. Odds change if you are playing a game with an additional wild card such as Jokers Wild as there are 53 cards.

HandOddsHand Odds
Royal Flush 1 in 649740Straight : 1 in 255
Straight Flush : 1 in 72193Three of a Kind :1 in 47
Four of a Kind : 1 in 4165 Two Pairs :1 in 21
Full House : 1 in 694Pair J, Q, K or A 1 in 7.69
Flush : 1 in 509Any Pair 1 in 2.37

Odds On The Draw

As much as we would all like to see a pat hand dealt every time we hit the max bet button this is rarely the case. In reality less than 1% of hands played will result in you holding all five where over 60% of hands you will hold just two cards going into the draw. Knowing this lets look at some examples.
The table below shows the odds of getting a particular hand when holding one, two, three or four cards. Of course you have to be holding the right cards for the odds to be correct. For example for cards to a royal is made up of four suited cards in the 10 to Ace range. Four to a flush is four suited cards etc.
Royal Flush Draw
Hold 1 Hold 2 Hold 3 Hold 4
1 in 178,3651 in 16,215 1 in 1081 1 in 47
Straight Flush Draw *
Hold 1 Hold 2Hold 3 Hold 4
1 in 59,4551 in 8,1071 in 360 1 in 47
Four of a Kind Draw
Hold 1 Hold 2 Hold 3 Hold 4
1 in 3,4301 in 3601 in 23.24n/a
Full House Draw
Hold 1 Hold 2 Hold 3 Hold 4
1 in 619 1 in 98 1 in 16 n/a
Flush Draw
Hold 1 Hold 2 Hold 3 Hold 4
1 in 3611 in 991 in 26 1 in 5
* The straight flush section has several variations that can change the odds that are displayed. These are primarily and inside draw or an outside draw. For example if you have 5h, 6h, 7h, 8h there are two ways to make the straight flush - either a 4h or a 9h will do it. However if you have an inside draw you have for example 2d, 3d, 5d, 6d. In this case only one card can make the hand (4d).
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Are you good at math? Hmm, thought so. Neither am I.

For many poker players, doing math calculations is the last thing on their mind when they sit down at the felt. They're there to play and have fun!

Still, poker is more fun when you win, and it helps to know the winning potential of starting cards. Remember, there's a reason for the saying, 'Never draw to an inside straight.'

Chances Of Hitting Poker Hands Game

Hands

Because figuring percentages in your head would slow down the game, should you bring a pocket calculator to the table? No way!

Fortunately, some situations repeat quite often in Texas hold 'em, and it's easy to memorize the math involved. Once that's done, you can concentrate on everything else going on at the table.

Today, let's re-examine the math of some common hold 'em situations originally listed in a 2006 LuckyDog Poker column:

Poker

— Being dealt any pocket pair in the hole — 6 percent (one in 17) chance. Getting A-A, K-K, Q-Q, or J-J as your starting hole cards — 1.8 percent (one in 56).

— Improving any pocket pair to trips on the flop — 12 percent (one in eight). If you don't make trips on the flop, there's a 9 percent (one in 11) chance of doing so on the turn and river cards.

— A no-pair starting hand improving to a pair on the flop (either card) — 32 percent (one in three).

— Completing an open-ended straight after the flop — 34 percent (one in three). For instance, you hold 10-9, the flop is J-8-2, and the last two cards are 4-7.

— Being dealt suited hole cards (two spades of any rank, for example) — 24 percent (one in four). Being dealt suited connectors such as Q-J of hearts — 4 percent (one in 25).

— Hitting two cards of your suit on the flop — 11 percent (one in nine). Completing a flush after two cards of your suit come on the flop — 39 percent (one in 2.6).

— Being dealt A-K to start — 1.2 percent (one in 83). With A-K in the pocket, hitting an ace or king by the river — 50 percent (one in two).

These numbers identify your chances of receiving certain starting cards and hitting specific hands, but that's not the whole story. Knowing these percentages allows you to calculate 'pot odds,' which gives you a mathematical reason for staying or folding.

For example, let's say after the flop you have an open-ended straight draw with a 34 percent (one in three) chance of making the straight by the end of the hand — 17 percent (one in six) chance of hitting on the turn card, plus 17 percent again to hit on the river.

In this case, as long as there is five times as much in the pot as the amount you must put in on a single bet, you're getting sufficient pot odds to stay in. In low-stakes limit games, calling usually is automatic. In no-limit, however, an opponent's big bet often negates your odds and you should fold.

Now, about those inside straight draws: Is it true you should 'never draw to an inside straight?' Actually, no!

Sure, most of the time you should fold because the chances of hitting your straight on the next card are slim (11 to one against). But on rare occasions, you'll have the proper pot odds to make the draw. Do the math!

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E-mail your poker questions and comments to [email protected] for use in future columns. To find out more about Russ Scott and read previous LuckyDog Poker columns, visit creators.com or luckydogpoker.com.