Whenever there are suited cards on board there is a possibility of a flush. You will be dealt suited cards 23.5 percent of the time. Here are the odds for making a flush.
With two suited cards

the probability of Percent Odds Against
Flopping two for a four flush 11 8.1 to 1
Then making the flush with
2 cards to come (9 outs) 35 1.9 to 1
Flopping three for a complete flush 0.84 118 to 1
Flopping one of your suit 41.6 14 to 1
Flopping one and making flush
on the river 4.2 23 tol
Flopping none of your suit 46.6 1.1 to 1
Making a flush of a different suit
(5 suited cards on board) 0.2 548 to 1

Connectors
There are many combinations of cards that you use to make a straight. It is easiest when you start with maximum connectors. Max connectors are two cards adjacent to each other with three cards open on each end. There are seven sets of max connectors. They are 4-5, 5-6, 6-7, 7-8, 8-9, 9-T, and T-J. The chart below shows the odds for certain situations.

Maximum Connectors
the probability of Percent Odds Against
Starting hand.
All—suited and unsuited 8.5 11 to 1
Starting hand. Suited only 2.1 46 tol
Flopping an open ended
straight draw 9.8 9 tol
Then making a straight with
2 cards to come (8 outs) 31.5 2.2 to 1
Flopping an inside straight draw 21.6 3.6 to 1
Then making a straight with
2 cards to come (4 outs) 16.5 5 to 1
Flopping a straight 1.3 76 to 1

In some cases I have rounded the numbers instead of using two decimal places. For those wishing to do the calculations, the math used is explained in detail in Hold'em Odds by Mike Petiv.

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Two Cards of Different Ranks
The majority of your starting hands will consist of two off-suit cards Holding different ranks

the probability of flopping Percent Odds Against
One Pair 29 2.5 to 1
Two Pairs 2 49 to 1
Trips 1.4 73 tol
Full House 0.1 1,087 to 1
Quads 0.01 9,799 to 1
At least a Pair 32 2.1 to 1
No Pairs 68 0.5 to 1

With two cards to come
the probability of Percent Odds Against
No pair improving to at least one pair 24 3.2 to 1
No Pair improving to two pairs or trips 1.4 71 to 1
Pair improving to two pairs or better 20 3.9 to 1
Two Pairs Improving to Full House 17 5 tol
Trips improving to Full house 33 2 tol

• Pocket Pairs Odds (0)
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As noted, the probability of being dealt a pocket pair is 16 to 1. Being dealt a specific pair is 220 to 1. Your odds of getting pocket deuces are the same as getting pocket rockets. But two hands couldn't be farther apart. Here are some odds for your pocket pairs if you chose to continue to play them.

Holding a pocket pair the
probability of flopping … Percent Odds Against
At least a Set or Higher 11.8 7.5 to 1
A Set—one of your cards on the flop 10.8 8.3 to 1 Full House 0.74 136 to 1
Quads 0.25 407 to 1

After the flop the probability of .
Set improving to Full House-Two cards to come Set improving to Full House— On the Turn
Set improving to Full House—
On the River
Pair improving to a set—
one card to come
Pair improving to at least a set—
if played to the river
Percent Odds Against
33 2 to 1
15 5.7 to 1
22 3.6 to 1
4.4 22 tol
19 4.2 to 1

Unless you hold pocket Aces there is always a chance that a higher card can appear in the flop. The lower your pocket pair, the more likely an overcard will flop.
Probability that a higher
card will flop when you hold Percent Odds Against
Kings 23 3.3 to 1
Queens 43 1.3 to 1
Jacks 59 0.7 to 1
10s 71 0.3 to 1
9s 81 0.2 to 1
8s 88 0.1 to 1
7s 93 0.07 to 1
6s 97 0.03 to 1
5s 99 0.01 to 1
4s 99.7 0.003 to 1

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With two cards in your hand there are 19,600 three-card combinations that can appear on the flop. Without considering your two pocket cards, there are 22,100 three-card combinations that can be made from a deck of 52 cards. This chart is based on 52 cards.

The probability that

the flop will contain … Percent Odds Against
Trips—Three of a kind 0.24 424 to 1
A Pair 17 5tol
No Pair 83 0.2 to 1
Three of the same suit. 5 18tol
Two of the same suit 55 0.8 to 1
Rainbow—Three different suits 40 1.5 to 1
Three in sequence 3.5 28 tol
Two in sequence 40 1.5 to 1
No sequences 56.4 0.8 to 1

• Poker Odds Charts (0)
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Here are a few charts that will show you the odds for certain circumstances that you will encounter while playing Texas Hold'em.

Starting Hands
There are 1,326 two-card combinations that can be made from a deck of 52 cards. Here are the odds for some of the starting hands.

The probability of holding . . . Percent Odds Against

A pair before the flop 5.9 16 to 1
Suited cards 23.5 3.25 to 1
Offsuit cards—no pairs 70.6 0.4 to 1
Pocket Aces—or any specific pair 0.45 220 to 1
All Ace-King combinations 1.2 82 to 1
Ace-King suited 0.3 331 to 1
A-A, K-K, or A-K 2.1 46 to 1
Single Ace 14.9 5.7 to 1
Premium hands—
A-A, K-K, Q-Q, A-K, A-Q, K-Q 5 19 to 1

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There is a concept called implied odds for money you are sure will go into the pot after you act. This means that after you compute the odds before you act, you can add your opponent's future bet if you are sure there will be no raises. A simple example of implied odds would be if you held a small pair before the flop. If there are five players who have entered the pot before it is your turn to act, you are getting 5-to-l odds.

The odds for making a set are 7.5:1, which means you are not getting proper odds for this hand at this time. If you are sure that the players acting after you will call, or that there will be a bet made after the flop, you can consider these bets in the pot odds. These are implied odds.

This means you would try to calculate what you would win if your opponent bets and you make your hand and win the pot. If you were heads-up on a flush draw with one card to come, you would have nine outs and the odds against you are 4:1, which means that there should be $24 in the pot to give you proper odds. If there were only $21 in the pot you would only be getting 3.5:1. If, however, you know that your opponent will call a $6 bet if you make your flush, you can then add this to the $21 already in the pot thereby giving you an implied pot of $27. You then would be getting 4.5:1 odds for your $6 bet.

When you make your decision using implied odds you must be certain that you will win the pot with the best hand. You don't want to be drawing to a hand that is already beaten. This is known as drawing dead and will be explained in detail later.

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Many players feel that trying to keep track of the money in the pot is a difficult thing to do. I thought so too at first, but I then came upon an easy way to do this. First of all, it is easier to keep track of the number of bets instead of the actual money in the pot. After each betting round the dealer announces how many players are active in the pot. If there have been no raises you know how many bets have been put in by the number of players active in the hand. During the first betting round before the flop it is uncommon for players to fold once they enter the pot. If there has been a raise, just double the number of players and you know the total bets before the flop.

After the flop count the bets put in by the players in front of you during each round. When it is your turn to act you will have an accurate determination of the pot odds up to that point. You do not know what the players acting after you will do.

On the last two betting rounds the limits double and you must adjust your count to reflect this. It is easy to do. Just divide the number of bets that were made in half. Using the $3/$6 game, if there were ten $3 bets in the pot before the turn, it would now be converted to five $6 bets.

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