A poker hand such as J♥ J♣ 4♣ 4♠ 9♥, that contains two cards of the same rank, plus two cards of another rank (that match each other but not the first pair), plus any card not of either rank, is called two pair. To rank two hands both containing two pair, the higher-ranking pair of each is first compared, and the higher pair wins (so 10♠ 10♣ 8♥ 8♣ 4♠ defeats 8♥ 8♣ 4♠ 4♣ 10♠). If both hands have the same top pair, then the second pair of each is compared, such that 10♠ 10♣ 8♥ 8♣ 4♠ defeats 10♠ 10♣ 4♠ 4♥ 8♥. If both hands have the same two pairs, the kicker determines the winner, so 10♠ 10♣ 8♥ 8♣ A♦ beats 10♠ 10♣ 8♥ 8♣ 4♠. Two pair are described by the higher pair first, followed by the lower pair if necessary; K♣ K♦ 9♠ 9♥ 5♥ is described as "Kings over nines", "Kings and nines", or simply "Kings up" if the nines are not important.
In five-card poker, there are 123,552 possible two pair hands that are not also three of a kind hands or higher hands; the probability of being dealt one is approx 4.75% .
In seven-card poker, the frequency of two pair is 31,433,400, the probability of being dealt one is approximately 23.5%.
Note: This cache was placed in Jonathan Dickinson State Park as part of Cacheapalooza 8, with the permission of Martin Morse, Park Service Specialist. If you park anywhere in JDSP, make sure all your tires are off the road and you are not blocking any gates.