Channel coding considerations for wireless LANs
Daniel J. Costello Jr., Pierre R. Chevillat, et al.
ISIT 1997
Between the poker hands of straight, flush, and full house, which hand is more common? In standard 5-card poker, the order from most common to least common is straight, flush, full house. The same order is true for 7-card poker such as Texas hold'em. However, is the same true for n-card poker for larger n? We study the probability of obtaining these various hands for n-card poker for various values of n≥5. In particular, we derive closed expressions for the probabilities of flush, straight and full house and show that the probability of a flush is less than a straight when n≤11, and is more than a straight when n>11. Similarly, we show that the probability of a full house is less than a straight when n≤19, and is more than a straight when n>19. This means that for games such as Big Two where the ordering of 13-card hands depends on the ordering in 5-card poker, the rank ordering does not follow the occurrence probability ordering, contrary to what intuition suggests.
Daniel J. Costello Jr., Pierre R. Chevillat, et al.
ISIT 1997
Karthik Visweswariah, Sanjeev Kulkarni, et al.
IEEE International Symposium on Information Theory - Proceedings
Arnon Amir, Michael Lindenbaum
IEEE Transactions on Pattern Analysis and Machine Intelligence
I.K. Pour, D.J. Krajnovich, et al.
SPIE Optical Materials for High Average Power Lasers 1992