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# Probability of One Pair (percentage)

MichaelBartmess.Probability of One Pair (percentage)

The **Probability of One Pair (percentage) **constant defines the probability of being dealt just one pair and the probability is represented as a percentage. The** One Pair **hand is a five card hand a single pairs of cards of the same card value and the remaining card having different values. For example: 4 of spades, 4 of hearts, 10 of diamonds, jack of clubs, and an 8 of spades would be a **One Pair **hand.

The number of possibilities of a** One Pair** hand is the number card values, `((13),(1))`; times the number of combinations of two suits being chose from four suits, `((4),(2))`; times the number of choices of the remaining three cards that are not the same value as the pairs, `((12),(3))`; times the number of choices of the suit of the cards that are no the pair, `((4),(1))^3`. The total number of five card hands possible is computed as `((52),(5))` (see the constant defining number of five card hands), so this constant represent the ratio of number of possible **One Pair** hands to the number of five card hands possible,`((52),(5))`.

**Additional Resources:**

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**Probability of One Pair (percentage)**, references 1 equation/constant.

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