Texas Holdem Cards Dealt

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This is the first full bet in a hand of Texas holdem. A community card that is dealt face up and doesn’t provide any player with help given the state of the hand. Forced bets that two players make before the cards are dealt in a new hand. These ensure there’s money in the pot and helps create action. How to Play Arkadium's Texas Hold 'Em Every round, each player will be dealt 2 cards that only they can see. Then, 5 cards are dealt to the middle of the table in 3 stages for everyone to see. In the first stage, 3 cards called the 'flop' are revealed. Each player is dealt four hole cards (instead of two) at the start. To make a hand, a player must use precisely two hole cards with three board cards. The betting is the same as in hold'em.

In hold'em, players receive two down cards as their personal hand (holecards), after which there is a round of betting. Three board cards are turned simultaneously (called the flop) and another round of betting occurs. The next two board cards are turned one at a time, with a round of betting after each card. The board cards are community cards, and a player can use any five-card combination from among the board and personal cards. A player can even use all of the board cards and no personal cards to form a hand ('play the board'). A dealer button is used. The usual structure is to use two blinds, but it is possible to play the game with one blind, multiple blinds, an ante, or combination of blinds plus an ante.
Rounds of Betting

Opening deal- Each player is dealt two cards face down, which are known as hole cards or pocket cards.

First round of betting- Starting with the player to the left of the big blind, each player can call the big blind, raise, or fold. The big blind has the option to raise an otherwise unraised pot.
The flop- The dealer burns a card, and then deals three community cards face up. The first three cards are referred to as the flop, while all of the community cards are collectively called the board.

Second round of betting- Starting with the player to the left of the dealer button, each player can check or bet. Once a bet has been made, each player can raise, call, or fold.
The turn- The dealer burns another card, and then adds a fourth card face-up to the community cards. This fourth card is known as the turn card, or fourth street.

The Turn

Third round of betting- It follows the same format as the second round, but the size of the bets have usually doubled in limit games.
The river- The dealer burns another card, and then adds a fifth and final card to the community cards. This fifth card is known as the river card, or fifth street.

Flop

The River

Final round of betting- It follows the same format as the second and third rounds.
The showdown- Using the best five-card combination of their hole cards and the community cards, the remaining players show their hands, with the bettor or last raiser showing first. The highest five-card hand wins the pot. (In case of a tie, the pot is evenly split among the winning hands.)

Other Texas Hold'em Poker Rules

These rules deal only with irregularities. SeeButton and Blinduse for rules on that subject.

If the first or second hole card dealt is exposed, a misdeal results. The dealer retrieves the card, reshuffles, and recuts the cards. If any other holecard is exposed due to a dealer error, the deal continues. The exposed card can not be kept. After completing the hand, the dealer replaces the card with the top card on the deck, and the exposed card is then used for the burncard. If more than one hole card is exposed, this is a misdeal and there must be a redeal.
If the flop contains too many cards, it must be redealt. (This applies even if it is possible to know which card is the extra one.)
If the flop needs to be redealt because the cards were prematurely flopped before the betting was complete, or the flop contained too many cards, the board cards are mixed with the remainder of the deck. The burn card remains on the table. After shuffling, the dealer cuts the deck and deals a new flop without burning a card.
See Explanations,discussion #2, for more information on this rule.
If the dealer turns the fourth card on the board before the betting round is complete, the card is taken out of play for that round, even if subsequent players elect to fold. The betting is then completed. The dealer burns and turns what would have been the fifth card in the fourth card's place. After this round of betting, the dealer reshuffles the deck, including the card that was taken out of play, but not including the burn cards or discards. The dealer then cuts the deck and turns the final card without burning a card. If the fifth card is turned up prematurely, the deck is reshuffled and dealt in the same manner.
See Explanations,discussion #2, for more information on this rule.
If the dealer mistakenly deals the first player an extra card (after all players have received their starting hands), the card is returned to the deck and used for the burn card. If the dealer mistakenly deals more than one extra card, it is a misdeal.
If you are playing the board, you must so declare before you throw your cards away; otherwise you relinquish all claim to the pot.

Ever wondered where some of those odds in the odds charts came from? In this article, I will teach you how to work out the probability of being dealt different types of preflop hands in Texas Holdem.

It's all pretty simple and you don't need to be a mathematician to work out the probabilities. I'll keep the math part as straightforward as I can to help keep this an easy-going article for the both of us.

Probability calculations quick links.

A few probability basics.

When working out hand probabilities, the main probabilities we will work with are the number of cards in the deck and the number of cards we want to be dealt. So for example, if we were going to deal out 1 card:

The probability of dealing a 7 would be 1/52 - There is one 7 in a deck of 52 cards.
The probability of dealing any Ace would be 4/52 - There four Aces in a deck of 52 cards.
The probability of dealing any would be 13/52 - There are 13 s in a deck of 52 cards.

In fact, the probability of being dealt any random card (not just the 7) would be 1/52. This also applies to the probability being dealt any random value of card like Kings, tens, fours, whatever (4/52) and the probability of being dealt any random suit (13/52).

Each card is just as likely to be dealt as any other - no special priorities in this game!

The numbers change for future cards.

A quick example... let's say we want to work out the probability of being dealt a pair of sevens.

Texas Holdem Cards Chart

The probability of being dealt a 7 for the first card will be 4/52.
The probability of being dealt a 7 for the second card will be 3/51.

Notice how the probability changes for the second card? After we have been dealt the first card, there is now 1 less card in the deck making it 51 cards in total. Also, after already being dealt a 7, there are now only three 7s left in the deck.

Always try and take care with the numbers for future cards. The numbers will change slightly as you go along.

Working out probabilities.

Whenever the word 'and' is used, it will usually mean multiply.
Whenever the word 'or' is used, it will usually mean add.

This won't make much sense for now, but it will make a lot of sense a little further on in the article. Trust me.

Five Card Texas Holdem

Probability of being dealt two exact cards.

Multiply the two probabilities together.

So, we want to find the probability of being dealt the A and K. (See the 'and' there?)

Probability of being dealt A - 1/52.
Probability of being dealt K - 1/51.

Now let's just multiply these bad boys together.

P = (1/52) * (1/51)
P = 1/2652

So the probability of being dealt the A and then K is 1/2652. As you might be able to work out, this is the same probability for any two exact cards, as the likelihood of being dealt A K is the same as being dealt a hand like 7 3 in that order.

But wait, we do not care about the order of the cards we are dealt!

When we are dealt a hand in Texas Hold'em, we don't care whether we get the A first or the K first (which is what we just worked out), just as long as we get them in our hand it's all the same. There are two possible combinations of being dealt this hand (A K and K A), so we simply multiply the probability by 2 to get a more useful probability.

P = 1/2652 * 2
P = 1/1326

You might notice that because of this, we have also worked out that there are 1,326 possible combinations of starting hands in Texas Holdem. Cool huh?

Probability of being dealt a certain hand.

Two exact cards is all well and good, but what if we want to work out the chances of being dealt AK, regardless of specific suits and whatnot? Well, we just do the same again...

Multiply the two probabilities together.

So, we want to find the probability of being dealt any Ace andany King.

Probability of being dealt any Ace - 4/52.
Probability of being dealt any King - 4/51 (after we've been dealt our Ace, there are now 51 cards left).

P = (4/52) * (4/51)
P = 16/2652 = 1/166

However, again with the 2652 number we are working out the probability of being deal an Ace and then a King. If we want the probability of being dealt either in any order, there are two possible ways to make this AK combination so we multiply the probability by 2.

P = 16/2652 * 2
P = 32/2652
P = 1/83

The probability of being dealt any AK as opposed to an AK with exact suits is more probable as we would expect. A lot more probable in fact. Also, as you might guess, this probability of 1/83 will be the same for any two value of cards like; AQ, JT, 34, J2 and so on regardless of whether they are suited or not.

Probability of being dealt a range of hands.

Work out each individual hand probability and add them together.

What's the probability of being dealt AA or KK? (Spot the 'or' there? - Time to add.)

Probability of being dealt AA - 1/221 (4/52 * 3/51 = 1/221).
Probability of being dealt KK - 1/221 (4/52 * 3/51 = 1/221).

P = (1/221) + (1/221)
P = 2/221 = 1/110

Easy enough. If you want to add more possible hands in to the range, just work out their individual probability and add them in. So if we wanted to work out the odds of being dealt AA, KK or 7 3...

Probability of being dealt AA - 1/221 (4/52 * 3/51 = 1/221).
Probability of being dealt KK - 1/221 (4/52 * 3/51 = 1/221).
Probability of being dealt 7 3 - 1/1326 ([1/52 * 1/51] * 2 = 1/1326).

P = (1/221) + (1/221) + (1/1326)
P = 359/36465 = 1/102

This one definitely takes more skill with adding fractions because of the different denominators, but you get the idea. I'm just teaching hand probabilities here, so I'm not going to go in to adding fractions in this article for now! This fractions calculator is really handy for adding those trickier probabilities quickly though.

Overview of working out hand probabilities.

Hopefully that's enough information and examples to allow you to go off and work out the probabilities of being dealt various hands and ranges of hands before the flop in Texas Holdem. The best way to learn how to work out probabilities is to actually try and work it out for yourself, otherwise the maths part will just go in one ear and out the other.

Texas Holdem Card Game

I guess this article isn't really going to do much for improving your game, but it's still pretty interesting to know the odds of being dealt different types of hands.

I'm sure that some of you reading this article were not aware that the probability of being dealt AA were exactly the same as the probability of being dealt 22! Well, now you know - it's 1/221.