# Visualizing Hold'em Hands

This is not really as simple as even i thought because there are millions of combinations possible with a hand 5 cards taken from a deck. All pairs are well above the median. Trips is where a pair comes down on the flop and we hold the third card in our hand to make 3 of a kind. You just use your two highest pairs. A "structured" game features raises of specified amounts. If two or more players have poker values of the same rank then the individual cards will be used to break the tie. Full Review " Poker is the only one I've played on and I have no complaints.

## Flopping Nothing

The panel above is a 2D slice through this 4D cube; it is a detailed view of the strength of one particular hand. The average color in the above panel is a single number summarizing the strength of a hand averaged over all opponent hands. Computing this for all hand combinations produces the panel on the left. If you like thinking about the first panel as a 2D slice through a 4D cube, then this second panel is a projection of the 4D cube into 2D. Every square tinted blue corresponds to a hand that wins more often than it loses, when playing against a random hand.

However, it would be unwise to bet on the weaker blue hands e. Our procedure for averaging each hand over all opponent hands assumes that every opponent hand is equally likely. Since opponents can fold weak hands, that isn't true. We can compute a more accurate summary of hand strength if we know how often real opponents tend to play every hand. Luckily, such databases exist. This third panel shows the actual frequency with which each hand is played, based on mining several million online poker hands.

The brightest squares are played most often. As we would expect, this panel correlates well with the panel above — real opponents are more likely to play stronger hands. There are some surprises as well. For example, see the brighter box in the upper-right corner of the panel, beginning at rank 10?

One of the most important aspects of Texas Hold'em is the value of each two-card hand before the flop. The decision of how to play your first two cards is something you face every hand, and the value of your first two cards is highly correlated to your probability of winning.

The following table shows my power rating for each initial 2-card hand in a player game. The numbers are on a 0 to 40 scale. Basically, you should only play hands that are dark green, blue, or purple.

Of course you should be more be more liberal in late position and picky in early position. If forced I would say you should need 10 points in late position and 19 points in early position to call the big blind.

If your table is loose, as if often the case online, you can play a bit looser yourself. Use the top table if you have a pair, the middle table if your cards are suited, and the bottom table if your cards are unsuited. Except for a pair,look up your high card along the left and your low card along the top.

Following are the links to my tables of the value of each intial hand according to the number of players. The player section explains the methodology for creating the table table. The following table shows the probability of making various hands after the flop and the correct "pot odds. This table is a good starting point the player should make mental adjustments for the probability of winning without making the hand, losing with making the hand, and expected future bets.

The odds of a two pair improving to a full house are the same as those for four to an inside straight. I'm proud to present my new and improved Poker Odds Calculator. Enter any situation in Texas Hold 'Em, and it will tell you the probability of each possible outcome. My Poker Tournament Calculator will determine each player's probability, for up to nine players, of finishing in each place, and his expected share of any prize pool, assuming equal skill among all players. It produces the same results as what is known as the Independent Chip Model.

Wizard of Odds uses cookies, this enables us to provide you with a personalised experience. More Info Got It! Enter your email address below to subscribe to our weekly newsletter along with other special announcements from The Wizard of Odds! The Wizard of Odds. Texas Hold'em Rules A single card deck is used.

All cards count as its poker value. Aces may be high or low. One player is designated as the dealer, usually with a laminated marker. This person does not have to physically deal the game.

However it is important that a symbolic dealer position rotate around the table. The player to the dealer's left must make a "small blind" bet. The player to the left of the small blind must make a "big blind" bet.

The amounts of both blinds should be specified in advance. The purpose of the blinds is to get the ball rolling with some money in the pot. Two cards shall be dealt down to each player, starting with the person to the dealer's left.

The player to the left of the big blind must either call or raise the big blind bet. The play in turn will go around the table according to normal poker rules, which I assume the reader already knows. Table rules will specify any limits on the size or number of allowed raises. The small blind may also raise the big blind. If nobody raises the big blind the player making the big blind has the option to raise his own bet.

The term for this is the "big blind option. This is called the "flop. A fourth community card will be dealt face up in the center of the table. This card is called the "turn. Generally the minimum bet is double the first two rounds of betting.

A fifth and final community card will be dealt face up in the center of the table. This card is called the "river. The minimum bet is generally the same as the previous round.