{"id":29889,"date":"2022-12-20T00:00:00","date_gmt":"2022-12-19T15:00:00","guid":{"rendered":"https:\/\/onlinecasino-record.com\/?p=29889"},"modified":"2026-05-25T12:20:15","modified_gmt":"2026-05-25T03:20:15","slug":"poker-probability","status":"publish","type":"post","link":"https:\/\/onlinecasino-record.com\/en\/poker-probability","title":{"rendered":"Poker Probabilities! Complete List of Hand Probabilities in Texas Hold’em and Calculation Methods"},"content":{"rendered":"\n

Whether in online poker<\/strong> or live poker, knowing the probability of poker hands forming is important for winning consistently.<\/p>\n\n\n\n

The probability of hands forming in Texas Hold’em is as shown in the probability table below:<\/p>\n\n\n\n

Hand<\/strong><\/th>Probability on Flop<\/strong><\/th>Probability by River<\/strong><\/th><\/tr><\/thead>
Royal Straight Flush<\/td>0.00015%<\/td>0.0032%<\/td><\/tr>
Straight Flush<\/td>0.0014%<\/td>0.027%<\/td><\/tr>
Four of a Kind<\/td>0.0024%<\/td>0.16%<\/td><\/tr>
Full House<\/td>0.14%<\/td>2.6%<\/td><\/tr>
Flush<\/td>0.2%<\/td>3.25%<\/td><\/tr>
Straight<\/td>0.39%<\/td>4.62%<\/td><\/tr>
Three of a Kind<\/td>2.1%<\/td>4.83%<\/td><\/tr>
Two Pair<\/td>4.75%<\/td>23.5%<\/td><\/tr>
One Pair<\/td>32%<\/td>43.8%<\/td><\/tr>
High Card<\/td>50%<\/td>17.4%<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n
\"\"<\/div>
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Royal Straight Flush is under 0.01%!?<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n

\"\"<\/div>
\n

It’s incredibly rare! This article also introduces the probability of starting hands (connectors\/suited connectors, pocket pairs, etc.) in addition to hand formation probabilities.<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n

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With this many probabilities, it seems hard to memorize… But knowing them is an advantage, right?<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n

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We also introduce apps that can calculate poker probabilities, so don’t worry even if you can’t memorize them! First, it’s also recommended to play and get a feel for them!<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

Register with KK Poker (KKPoker)<\/strong> \u2014 hugely popular in Japan \u2014 from our site and you can receive bonuses for free, letting you play poker without depositing.<\/p>\n\n\n\n

For those who want to play right away, please register with KK Poker.<\/p>\n\n\n\n

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KKPoker!<\/span><\/a><\/div>\n\n\n\n

For KK Poker’s features, how to play, reviews, and more, see the article ‘[Official Supervised] What Is KKPoker?<\/strong>‘!<\/p>\n\n\n\n

Why Understanding Probability Is Important in Poker<\/strong><\/h2>\n\n\n\n
\"\u30dd\u30fc\u30ab\u30fc\u306b\u304a\u3044\u3066\u78ba\u7387\u3078\u306e\u7406\u89e3\u304c\u91cd\u8981\u306a\u7406\u7531\"<\/figure>\n\n\n\n

Understanding probability in poker is extremely important.<\/p>\n\n\n\n

That’s because understanding probability eliminates wasteful battles and allows you to aim for maximum profit when you’re in an advantageous position<\/span>.<\/strong><\/p>\n\n\n\n

In poker, no matter how skilled you are, it’s not a game you can win 100% of the time.<\/p>\n\n\n\n

The probability of cards coming in your starting hand is the same for beginners, and it’s not that ‘advanced players have stronger cards.’<\/p>\n\n\n\n

However, after many battles (or sometimes even in a single battle), advanced players’ win rates become higher than beginners’ or intermediate players’.<\/p>\n\n\n\n

That’s because they think about probability at each phase and avoid battles when there’s a high chance of losing.<\/p>\n\n\n

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If you understand probability, you can judge ‘should I fight or retreat’ appropriately for each phase!<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

If you don’t understand probability, there’s a risk of becoming easy prey for advanced players.<\/p>\n\n\n\n

Therefore, understanding probability is extremely important for improving at poker.<\/p>\n\n\n\n

Also Learn Poker Terminology<\/strong><\/h3>\n\n\n\n

As stated above, probability is important in poker, but equally so is learning specialized terminology<\/strong><\/span>.<\/p>\n\n\n\n

Beginners need to study poker to improve, but for that you need to know at least some specialized terminology to understand what books and videos are saying.<\/p>\n\n\n\n

Therefore, work on memorizing terms in order from those most frequently used.<\/p>\n\n\n

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Let’s keep memorizing from the words you see most often! Our site also provides explanations of many basic terms, so make use of them!<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

Poker Probability Basics<\/strong><\/span><\/h2>\n\n\n\n
\"\u30dd\u30fc\u30ab\u30fc\u306e\u78ba\u7387\u57fa\u790e\u77e5\u8b58\"<\/figure>\n\n\n\n

First, let’s roughly cover the basics of poker (Texas Hold’em) probability \u2014 starting hand and hand appearance probabilities.<\/p>\n\n\n\n

For those who don’t yet know the poker rules, the article ‘Thorough Explanation of Poker Rules<\/strong>‘ explains in detail, so please use it as a reference.<\/p>\n\n\n\n

Let’s dive in.<\/p>\n\n\n\n

\u2460 Starting Hand Combinations<\/strong><\/h3>\n\n\n\n

The starting hand \u2014 the initial cards in a game \u2014 is composed of 2 cards dealt from a 52-card single deck.<\/p>\n\n\n\n

The combinations are found with the combinatorics formula 52C2 taught in high school math, for a total of 1,326 combinations.<\/strong><\/p>\n\n\n\n

When researching starting hand probabilities, remember that this 1,326 becomes the denominator of calculations.<\/strong><\/p>\n\n\n\n

\u2461 Poker Hand Probabilities [Probability Table Included]<\/strong><\/h3>\n\n\n\n

The probability of poker hands completing by the showdown stage (after the river, comparing hand strengths) is as shown in the table below:<\/p>\n\n\n\n

Hand<\/strong><\/th>\u30cf\u30f3\u30c9<\/th>\u78ba\u7387<\/th><\/tr><\/thead>
Royal Straight Flush<\/td>\"\u30ed\u30a4\u30e4\u30eb\u30b9\u30c8\u30ec\u30fc\u30c8\u30d5\u30e9\u30c3\u30b7\u30e5\"<\/td>0.0032\uff05<\/td><\/tr>
Straight Flush<\/td>\"\u30b9\u30c8\u30ec\u30fc\u30c8\u30d5\u30e9\u30b7\u30e5\"<\/td>0.027\uff05<\/td><\/tr>
Quads (Four of a Kind)<\/td>\"\u30af\u30ef\u30c3\u30ba\uff08\u30d5\u30a9\u30fc\u30ab\u30fc\u30c9\uff09\"<\/td>0.16\uff05<\/td><\/tr>
Full House<\/td>\"\u30d5\u30eb\u30cf\u30a6\u30b9\"<\/td>2.6%<\/td><\/tr>
Flush<\/td>\"\u30d5\u30e9\u30c3\u30b7\u30e5\"<\/td>3.25\uff05<\/td><\/tr>
Straight<\/td>\"\u30b9\u30c8\u30ec\u30fc\u30c8\"<\/td>4.62\uff05<\/td><\/tr>
Three of a Kind (Set)<\/td>\"\u30b9\u30ea\u30fc\u30ab\u30fc\u30c9\uff08\u30bb\u30c3\u30c8\uff09\"<\/td>4.83\uff05<\/td><\/tr>
Two Pair<\/td>\"\u30c4\u30fc\u30da\u30a2\"<\/td>23.5\uff05<\/td><\/tr>
One Pair<\/td>\"\u30ef\u30f3\u30da\u30a2\"<\/td>43.8\uff05<\/td><\/tr>
High Card<\/td>\"\u30cf\u30a4\u30ab\u30fc\u30c9\"<\/td>17.41\uff05<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

A common pattern for beginners just starting poker is aiming for a flush or full house \u2014 which are hard to complete from weak hands \u2014 and losing to one pair or two pair<\/span>.<\/p>\n\n\n\n

If you understand the difficulty of hand appearance numerically, you can avoid engaging in unreasonable battles from the start.<\/p>\n\n\n\n

Poker hands are explained in detail in the following article:<\/p>\n\n\n

\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\u3042\u308f\u305b\u3066\u8aad\u307f\u305f\u3044<\/span>\n\t\t\t\t\t
\"\"<\/figure><\/div>\t\t\t\t\t
\n\t\t\t\t\t\t\u30dd\u30fc\u30ab\u30fc\u306e\u5f79\u4e00\u89a7\u3010\u5f37\u3055\u9806\u306e\u65e9\u898b\u8868\u3042\u308a\u3011\u78ba\u7387\u3084\u521d\u5fc3\u8005\u306b\u304a\u3059\u3059\u3081\u306e\u899a\u3048\u65b9<\/a>\n\t\t\t\t\t\t\u30dd\u30fc\u30ab\u30fc\uff08\u30c6\u30ad\u30b5\u30b9\u30db\u30fc\u30eb\u30c7\u30e0\uff09\u306b\u306f\u7d04\u304c9\u3064\u3042\u308a\u3001\u30eb\u30fc\u30eb\u3067\u5f37\u3055\u306e\u9806\u756a\u3084\u52dd\u6557\u306e\u5224\u5b9a\u65b9\u6cd5\u304c\u6c7a\u307e\u3063\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u5f79\u3092\u899a\u3048\u308b\u306e\u306b\u4fbf\u5229\u306a\u5f79\u4e00\u89a7\u65e9\u898b\u8868\u3084\u78ba\u7387\u3001\u52dd\u6557\u306e\u6c7a\u3081\u65b9\u3001\u30b8\u30e7\u30fc\u30ab\u30fc\u3092\u4f7f\u3046\u30dd\u30fc\u30ab\u30fc\u306e\u5f79\u3067\u3042\u308b\u300c\u30d5\u30a1\u30a4\u30d6\u30ab\u30fc\u30c9\u300d\u306a\u3069\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u307e\u3059\u3002<\/span>\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/div>\n\n\n

\u2462 Starting Hand Probabilities<\/strong><\/h3>\n\n\n\n

Next is an explanation of the probability of the 2 starting hand cards dealt at the start of the game.<\/p>\n\n\n\n

Basically, starting hands are determined with the following probabilities:<\/p>\n\n\n\n

Starting Hand<\/strong><\/th>Probability<\/strong><\/th><\/tr><\/thead>
Pocket Pair<\/td>~6%<\/td><\/tr>
Suited<\/td>~24\uff05<\/td><\/tr>
Connector (Suited Connector)<\/td>~4\uff05<\/td><\/tr>
Other<\/td>~66\uff05<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n
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\n

Looking at it this way, the majority aren’t very good hands…… If I wasn’t careful I’d be easy prey……<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n

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\n

That’s right……! When you study probability, you stop taking reckless actions! Just noticing that is a big step forward!<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n

Also, starting hands are explained in detail in the following article too, so please also take a look:<\/p>\n\n\n

\t\t\t
\n\t\t\t\t
\n\t\t\t\t\t\u3042\u308f\u305b\u3066\u8aad\u307f\u305f\u3044<\/span>\n\t\t\t\t\t
\"\"<\/figure><\/div>\t\t\t\t\t
\n\t\t\t\t\t\t\u3010\u30dd\u30fc\u30ab\u30fc\u306e\u57fa\u790e\u77e5\u8b58\u3011\u30b9\u30bf\u30fc\u30c6\u30a3\u30f3\u30b0\u30cf\u30f3\u30c9\u3068\u306f\uff1f<\/a>\n\t\t\t\t\t\t\u30dd\u30fc\u30ab\u30fc\u306e\u52dd\u8ca0\u3067\u6700\u3082\u91cd\u8981\u306a\u8981\u7d20\u306e1\u3064\u304c\u3001\u300c\u30b9\u30bf\u30fc\u30c6\u30a3\u30f3\u30b0\u30cf\u30f3\u30c9\u300d\u3067\u3059\u3002 \u30b9\u30bf\u30fc\u30c6\u30a3\u30f3\u30b0\u30cf\u30f3\u30c9\u3063\u3066\u3001\u3069\u308c\u304c\u3069\u306e\u9806\u756a\u3067\u5f37\u3044\u306e\uff1f \u96e3\u3057\u3044\u8cea\u554f\u3060\u306d\u2026\u3002\u5b9f\u306f\u30b2\u30fc\u30e0\u306b\u53c2\u52a0\u3059…<\/span>\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/div>\n\n\n

Pocket Pair<\/strong><\/h4>\n\n\n\n

Getting 2 cards of the same rank initially is called a pocket pair.<\/p>\n\n\n\n

For example, getting a 9 of clubs and a 9 of diamonds.<\/p>\n\n\n\n

The appearance probability of a pocket pair is approximately 6%.<\/span><\/p>\n\n\n\n

Since one pair is already formed at the start, it boasts a fairly high win rate at the pre-flop stage.<\/p>\n\n\n\n

\"\"<\/div>
Against AK too, there’s roughly 50% win rate \u2014 so you can make all-in decisions when short-stacked!<\/span><\/span><\/span><\/div><\/div><\/div>\n\n\n\n

Suited<\/strong><\/h4>\n\n\n\n

Suited \u2014 2 cards of the same suit \u2014 come as your initial hand approximately 24% of the time.<\/p>\n\n\n\n

Since you can complete flush \u2014 the strong hand of 5 cards of the same suit \u2014 the hand can fight better than mismatched cards.<\/p>\n\n\n\n

Connector (Suited Connector)<\/strong><\/h4>\n\n\n\n

2 hole cards with consecutive ranks like 7-8 or Q-K are called connectors.<\/p>\n\n\n\n

The appearance probability of a suited connector \u2014 same suit and consecutive ranks \u2014 is approximately 4%, and an unsuited connector’s appearance rate is approximately 12%<\/span>.<\/p>\n\n\n\n

Connectors are easy hands to complete straight \u2014 the hand of 5 consecutive ranks.<\/p>\n\n\n\n

Other<\/strong><\/h4>\n\n\n\n

And the appearance probability of hands like A-J off-suit (not suited) that don’t easily lead to specific hands is approximately 66%.<\/span><\/p>\n\n\n\n

Remember that 2 out of 3 times you’ll get a hand like this.\u3002<\/p>\n\n\n\n

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Even ‘other’ includes premium hands like AK off and AQ off! Go ahead and raise aggressively!<\/span><\/span><\/span><\/div><\/div><\/div>\n\n\n\n

Each Poker Hand’s Probability and Details [Texas Hold’em]<\/strong><\/h2>\n\n\n\n

In the previous section we introduced probabilities centered on starting hands. Here we introduce each poker hand’s probability and details.<\/p>\n\n\n\n

Probability of Royal Straight Flush: 0.0032%<\/strong><\/h3>\n\n\n\n
\"\u30ed\u30a4\u30e4\u30eb\u30b9\u30c8\u30ec\u30fc\u30c8\u30d5\u30e9\u30c3\u30b7\u30e5\uff08\u30b9\u30c8\u30ec\u30fc\u30c8\u30d5\u30e9\u30c3\u30b7\u30e5\uff09\"<\/figure>\n\n\n\n

(Appearance rate approximately 0.0032%)<\/p>\n\n\n\n

Royal Straight Flush is the strongest hand made with cards from 10 to A of the same suit, with an appearance rate below 0.01%<\/span>.<\/p>\n\n\n\n

It’s extremely rare, and completing it at a poker room sometimes earns you the accumulated jackpot as a bonus. Also, online poker platforms like GGPoker<\/strong> also give bonuses.<\/p>\n\n\n\n

Probability of Straight Flush: 0.027%<\/strong><\/h3>\n\n\n\n
\"\u30b9\u30c8\u30ec\u30fc\u30c8\u30d5\u30e9\u30b7\u30e5\"<\/figure>\n\n\n\n

(Appearance rate approximately 0.027%)<\/p>\n\n\n\n

A hand completed by connecting 5 consecutive ranks of the same suit, with an appearance rate of 0.027%<\/span>.<\/p>\n\n\n\n

Probability of Quads (Four of a Kind): 0.16%<\/strong><\/h3>\n\n\n\n
\"\u30af\u30ef\u30c3\u30ba\uff08\u30d5\u30a9\u30fc\u30ab\u30fc\u30c9\uff09\"<\/figure>\n\n\n\n

(Appearance rate approximately 0.16%)<\/p>\n\n\n\n

The appearance rate of quads \u2014 collecting 4 of the same rank \u2014 is 0.16%<\/span>.<\/p>\n\n\n\n

But since the appearance rate is below 1%, you won’t see it without considerable luck.<\/p>\n\n\n\n

Probability of Full House: 2.6%<\/strong><\/h3>\n\n\n\n
\"\u30d5\u30eb\u30cf\u30a6\u30b9\u306e\u78ba\u7387\"<\/figure>\n\n\n\n

(Appearance rate approximately 2.6%)<\/p>\n\n\n\n

Full house \u2014 completed from a combination of 2 cards of the same rank and 3 cards of the same rank \u2014 appears with approximately 2.6% probability<\/span>.<\/p>\n\n\n\n

Since it’s still only 2.6% with all cards open to the river, you won’t see it frequently, but if you play a game for a long time, someone will naturally complete it.<\/p>\n\n\n\n

Probability of Flush: 3.25%<\/strong><\/h3>\n\n\n\n
\"\u30d5\u30e9\u30c3\u30b7\u30e5\"<\/figure>\n\n\n\n

(Appearance rate 3.25%)<\/p>\n\n\n\n

The appearance rate of flush \u2014 collecting 5 cards of the same suit \u2014 is approximately 3.25%<\/span>.<\/p>\n\n\n\n

Since the opponent can fully have a chance of completing it too, you need to be wary when community cards (the face-up cards shared by all players) match in suit.<\/p>\n\n\n\n

Probability of Straight: 4.62%<\/strong><\/h3>\n\n\n\n
\"\u30b9\u30c8\u30ec\u30fc\u30c8\"<\/figure>\n\n\n\n

(Appearance rate approximately 4.62%)<\/p>\n\n\n\n

A hand completed when 5 consecutive ranks regardless of suit, with an appearance rate of 4.62%<\/span>.<\/p>\n\n\n\n

As shown in the image, a straight using A-2-3 can be made, but K-A-2 cannot, so be careful.<\/p>\n\n\n\n

Probability of Three of a Kind (Set): 4.83%<\/strong><\/h3>\n\n\n\n
\"\u30b9\u30ea\u30fc\u30ab\u30fc\u30c9\uff08\u30bb\u30c3\u30c8\uff09\"<\/figure>\n\n\n\n

(Appearance rate approximately 4.83%)<\/p>\n\n\n\n

Three of a Kind (Set) \u2014 collecting 3 of the same rank \u2014 has an appearance rate close to 5%<\/span>.<\/p>\n\n\n\n

When the starting hand is a pocket pair, it becomes easier to complete, so even with a 2 or 3 pocket pair, some players join the game aiming for a three-of-a-kind comeback.<\/p>\n\n\n\n

Probability of Two Pair: 23.5%<\/strong><\/h3>\n\n\n\n
\"\u30c4\u30fc\u30da\u30a2\"<\/figure>\n\n\n\n

(Appearance rate approximately 23.5%)<\/p>\n\n\n\n

Two Pair \u2014 completing 2 separate sets of matching ranks \u2014 has an appearance rate of approximately 23.5%<\/span>.<\/p>\n\n\n\n

Since it can be completed fairly frequently, even if you’ve completed one pair, there are many cases where the opponent completes two pair on the river and reverses.<\/p>\n\n\n\n

Probability of One Pair: 43.8%<\/strong><\/h3>\n\n\n\n
\"\u30ef\u30f3\u30da\u30a2\"<\/figure>\n\n\n\n

(Appearance rate approximately 43.8%)<\/p>\n\n\n\n

The appearance probability of one pair is approximately 43.8%, boasting a dramatically higher probability than no-hand high card<\/span>.<\/p>\n\n\n\n

Therefore, even if you have one pair, if the game continues to showdown, there’s a high chance the opponent has also completed one pair \u2014 be careful.<\/p>\n\n\n\n

Probability of High Card: 17.41%<\/strong><\/h3>\n\n\n\n
\"\u30cf\u30a4\u30ab\u30fc\u30c9\"<\/figure>\n\n\n\n

(Appearance rate approximately 17.41%)<\/p>\n\n\n\n

The appearance probability of high card \u2014 no hand \u2014 is approximately 17.41%<\/span>.<\/p>\n\n\n\n

When you can judge from the opponent’s actions that they have a high card, you can challenge showdown even with a high card.<\/p>\n\n\n\n

However, high card vs. high card is decided by the simple numerical strength of the hole cards, so avoid high card battles with weak cards.<\/p>\n\n\n\n

\"\"<\/div>
High card battles between pros are spine-tingling!<\/span><\/span><\/span><\/div><\/div><\/div>\n\n\n\n
\"\"<\/div>
When the AQ side wins a bluff battle against AK, it gets a cheer!<\/span><\/span><\/span><\/div><\/div><\/div>\n\n\n\n

Now that you understand poker hand probabilities, how about actually playing poker? For online poker, KK Poker \u2014 Japan’s most trusted platform \u2014 is recommended.<\/p>\n\n\n\n

Register from our site and get a registration bonus of $5 and a VIP card.<\/p>\n\n\n\n

\uff3cLimited Bonuses!\uff0f<\/strong><\/strong><\/p>\n\n\n\n

Register Free at\u00a0
KKPoker<\/span><\/a><\/div>\n\n\n\n

11 Important Probabilities in Poker Strategy [Calculation Methods Also Introduced]<\/strong><\/h2>\n\n\n\n

Until now we’ve introduced basic poker probabilities.<\/p>\n\n\n\n

However, in actual play, the ‘2% rule’ is used in a very large number of situations<\/span>.<\/p>\n\n\n\n

The 2% is the approximate possibility of drawing 1 out (a card that completes a stronger hand when drawn) from the flop onwards, used to quickly calculate hand completion rates during a game.<\/p>\n\n\n\n

However, this is a method for briefly judging the possibility of drawing cards in a short time, and you must not forget that the actual chance of drawing a card is lower than calculated due to factors like being dominated (the card you want is in the opponent’s hand).<\/p>\n\n\n\n

Below, let’s look in more detail at specific situations.<\/p>\n\n\n\n

\u2460 Probability of Getting One Pair by the River<\/strong><\/h3>\n\n\n\n

First, let’s look at the probability of one pair completing from the flop.<\/p>\n\n\n\n

For example, if you have a 7 of hearts and Q in your hand.<\/p>\n\n\n\n

To complete one pair, you need to draw a 7 or Q that’s not hearts, so there are a total of 6 outs.<\/p>\n\n\n\n

2% \u00d7 6 cards gives an approximately 12% chance of drawing the outs, and with 2 chances on turn and river, one pair completes with approximately 24% probability<\/span>.<\/p>\n\n\n\n

\u2461 Probability of Getting One Pair on the Flop<\/strong><\/h3>\n\n\n\n

By the way, the probability of getting one pair on the flop is 32%<\/span>.<\/p>\n\n\n\n

The 2% rule is applicable at the turn and river stages, so it doesn’t become 12% \u00d7 3 cards (flop) = 36%.<\/p>\n\n\n\n

At 32% probability, it appears 1 in 3 times, so remember that there’s a sufficient chance the opponent completes one pair at the flop stage.<\/p>\n\n\n\n

\u2462 Probability of Two Pair on the Flop<\/strong><\/h3>\n\n\n\n

Also, the possibility of two pair completing on the flop is approximately 2%<\/span>.<\/p>\n\n\n\n

Even two pair, which exceeds 20% appearance rate by the river, almost never completes at the flop stage.<\/p>\n\n\n\n

Therefore, joining a pre-flop battle aiming for two pair with weak cards tends to lead to a loss.<\/p>\n\n\n\n

\u2463 Probability of Two Pair on Flop Developing into Full House or Better<\/strong><\/h3>\n\n\n\n

When two pair is complete on the flop, full house completes if you draw 4 outs on turn and river.<\/p>\n\n\n\n

The calculation is 4 cards \u00d7 2% \u00d7 2 times for approximately 16% probability<\/span>.<\/p>\n\n\n\n

Once full house is complete, it’s almost impossible to lose on hands.<\/p>\n\n\n\n

\u2464 Probability of Middle Connector Becoming a Flop Straight<\/strong><\/h3>\n\n\n\n

The possibility of a middle connector like 7-8 \u2014 with consecutive ranks \u2014 becoming a flop straight is approximately 1.3%<\/span>.<\/p>\n\n\n\n

Since the completion probability is very low, even against a player who frequently uses connectors aiming for straights, there’s not much to fear at the flop stage.<\/p>\n\n\n\n

\u2465 Probability of Middle Connector Becoming Open-End or Gutshot on the Flop<\/strong><\/h3>\n\n\n\n

Also, the probability of a middle connector forming an open-end \u2014 one card away from completing a straight (forms like 5-6-7-8 or 7-8-9-10) \u2014 is approximately 9%<\/span>.<\/p>\n\n\n\n

On the other hand, gutshot (a state where the middle rank is missing like 5-6-8-9) completes with approximately 16.8% probability.<\/p>\n\n\n\n

Open-end with 8 outs (2 types \u00d7 4 cards) has 2 chances on turn and river, and straight completes with 32% probability, so many players play it.<\/p>\n\n\n\n

\u2466 Probability of Suited Becoming Flush Draw or Flush on the Flop<\/strong><\/h3>\n\n\n\n

The probability of a suited hand becoming a flush or flush draw (one card away from completing flush) is approximately 12%<\/span>.<\/p>\n\n\n\n

Here, let’s also learn how to calculate flop probabilities.<\/p>\n\n\n\n

The total number of combinations at flop stage is 50C3 = 19,600 combinations drawing 3 cards from 50 remaining cards after the starting hand, and this number becomes the denominator for probability calculations.<\/p>\n\n\n\n

The combination of flush is drawing 3 cards from 11 cards of the same suit remaining in the hand, so 11C3.<\/p>\n\n\n\n

Also, flush draw has the combination of drawing 2 same-suit cards which is 11C2, and multiplying by the combination for the remaining 1 card (39 cards = 50-11), so 11C2 \u00d7 39 combinations.<\/p>\n\n\n\n

(11C3 + {11C2 \u00d7 39}) \u00f7 19,600 \u00d7 100% = 11.97%<\/span><\/p>\n\n\n\n

We were able to calculate the possibility of a suited hand leading to flush or flush draw on the flop.<\/p>\n\n\n\n

\u2467 Probability of Flush Draw Becoming a Flush<\/strong><\/h3>\n\n\n\n

The probability of a completed flush draw on the flop becoming a flush by the river is 36%<\/span>.<\/p>\n\n\n\n

The number of same-suit cards remaining at the flush draw stage is 9, so the formula is 9 outs \u00d7 2% \u00d7 2 times.<\/p>\n\n\n\n

The completion rate isn’t bad, so be careful when the same-suit cards are lined up in the community cards at the flop stage.<\/p>\n\n\n\n

\u2468 Probability of Pocket Pair Becoming a Set or Quads by the River<\/strong><\/h3>\n\n\n\n

Next is the probability of a pocket pair being strengthened to set or quads between turn and river.<\/p>\n\n\n\n

Set draws 2 outs over 2 chances for an 8% completion probability<\/span>.<\/p>\n\n\n\n

Meanwhile, quads requires drawing 1 out in 1 chance at river on the premise that set has been completed, so completion probability is 2%<\/span>.<\/p>\n\n\n\n

\u2469 Probability of Pocket Pair Becoming a Set or Quads on the Flop<\/strong><\/h3>\n\n\n\n

Also, the probability of a pocket pair becoming a set on the flop is approximately 12%, and the possibility of quads is approximately 0.2%<\/span>.<\/p>\n\n\n\n

Since set completes more than once every 10 times, some players will at least check the flop cards even with a weak pocket pair.<\/p>\n\n\n\n

\u246a Probability of Winning with AA \/ Probability of Losing to AA<\/strong><\/h3>\n\n\n\n

AA (Pocket Aces) is an extremely powerful hand, and the win rate in a heads-up situation against a random hand is 85.3%<\/span>. Conversely, the probability of losing with an AA hand is approximately 15%.<\/p>\n\n\n\n

Poker Probability Calculators (Apps) Compatible with Texas Hold’em<\/strong><\/h2>\n\n\n\n

There are 2,598,960 combinations (formula: 52 \u00f7 (5 \u00d7 47)) of playing cards used in poker. Memorizing or calculating them each time would be hard.<\/p>\n\n\n\n

Here we introduce probability calculators (apps) that easily produce probabilities.<\/p>\n\n\n\n

[Recommended for iPhone \/ iPad]<\/strong><\/p>\n\n\n\n