Texas Hold 'em Poker Probability/Statistics

Texas Hold 'em, commonly abbreviated to just Hold'em, is the most common style of poker played in the world today. A lot of its popularity is due to most television coverage of poker being of the Texas Hold 'em style.

The dealing squence is as follows:
1. Each player is dealt 2 cards, these are the players pocket cards.
2. First betting round.
3. The dealer shows 3 community card, this is called the flop.
4. Second betting round.
5. The dealer shows another community card, this is called the turn.
6. Third betting round.
7. The dealer shows a final community card, this is called the river.
8. Final betting round.

A player can make his hand from any 5 of the 7 cards they can see. It is not necessary to use both of their pocket cards.

Probabilities

Single Hard Probability - Examine of the probability of a certain hand from a single player
Two Hand Probability (sorry, not complete yet) - Examine the chance of a player winning given two players
Three Hand Probability (sorry, not complete yet) - Examine the chance of a player winning given three players
Four Hand Probability (sorry, not complete yet) - Examine the chance of a player winning given four players