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# Probability of Straight (fraction)

MichaelBartmess.Probability of Straight (fraction)

The **Probability of a Straight (fraction)** constant defines the probability of being dealt a **Straight** and represent the probability as a fraction. The **Straight **is a five card hand having five cards of successive values but in mixed suits (in at least two suits). For example, 4, 5, 6, 7, 8 of three different suits would be a **Straight **or 8, 9,10, Jack, Queen of two suits.

The number of **Straights** is the product of the number of starting choices for the five card sequence of values, `((10),(1))` times the number of choices of suits for each of the five cards, `((10),(1))^5`; minus the possible straights that are of all the same suit `((10),(1))((4),(1))`. The total number of five card hands possible is computed as `((52),(5))` (see the constant defining number of five card hands), so this represents a ratio of number of possible **Straights**, excluding same suit straights, to the number of five card hands possible,`((52),(5))`.

**Additional Resources:**

The Poker Calculator provides all the equations, the calculations, to determine the probabilities of success and failure when playing Poker with a standard five card deck.

[**Card Games | Poker | Combinatorics | Probability | Chance**]

**Probability of Straight (fraction)**, references 1 equation/constant.

**Equations and Constants **

**Probability of Straight (fraction)**, is used in 6 equations/constants.

**Equations and Constants **