The following Texas **Holdem miscellaneous probabilities** are used by the top mathematically-inclined poker players currently on tour.
Making use of statistical probabilities during the course of a hand, can help you gauge your level of play at a particular juncture.
The following odds can be committed to memory, and be incorporated into your game play, to help maximize profits.

- The probability of an opponent having a set of two cards that are paired on the board, when there are 5 total players in the hand, is approximately 43 %.
- The probability of an opponent having a set of two cards that are paired on the board, when there are 4 total players in the hand, is approximately 34 %.
- The probability of an opponent having a set of two cards that are paired on the board, when there are 3 total players in the hand, is approximately 26 %.
- The probability of an opponent having a set of two cards that are paired on the board, when there are total 2 players in the hand, is approximately 17 %.
- The probability of having a gutshot straight draw improve to a straight by the river is approximately 17 %.
- The probability of making a flush by the river when flopping three cards to a flush (that is,
making a backdoor flush, known as a runner-runner) is approximately 4 %.
- The probability of another player making a straight by the river when flopping three cards to a straight (that is,
making a backdoor straight, known as a runner-runner) is approximately 1.5 %.
- The probability of another player getting an Ace on the turn or river while holding one in your hand and
missing on the flop is approximately 13 %.
- The probability of an opponent having an Ace in their hand when one is on the board, and there are 5 total players in the hand, is approximately 58 %.
- The probability of an opponent having an Ace in their hand when one is on the board, and there are 4 total players in the hand, is approximately 47 %.
- The probability of an opponent having an Ace in their hand when one is on the board, and there are 3 total players in the hand, is approximately 35 %.
- The probability of an opponent having an Ace in their hand when one is on the board, and there are 2 total players in the hand, is approximately 23 %.