View Full Version : Brian Alspach's poker probabilities digest

08-10-2005, 02:54 AM
Brian Alspach (http://www.math.sfu.ca/~alspach/index.html), gambling writer and Mathematics & Statistics Professor Emeritus at Simon Fraser University (http://www.math.sfu.ca/about/index.shtml), Vancouver, Canada, has a web depository (http://www.math.sfu.ca/~alspach/computations.html) with many of his gambling-related columns, all dealing with various probabilities in Poker. Questions pertaining to those probabilities often find their way to this page, so here's a sampling of the topics covered by Alspach:

5-Card Poker Hands (http://www.math.sfu.ca/~alspach/comp18)
7-Card Poker Hands (http://www.math.sfu.ca/~alspach/comp20)
7-Card Stud Low Hands (http://www.math.sfu.ca/~alspach/comp49.pdf)
Low Board Probability (http://www.math.sfu.ca/~alspach/comp1)
Flushing Boards: I (http://www.math.sfu.ca/~alspach/comp3.pdf)
Flushing Boards: II (http://www.math.sfu.ca/~alspach/comp4)
Flushing Boards and Random Hands (http://www.math.sfu.ca/~alspach/comp43.pdf)
Computations for Losing Flushes (http://www.math.sfu.ca/~alspach/comp37)
Overcards in Hold'Em (http://www.math.sfu.ca/~alspach/comp34)
Straight Completion (http://www.math.sfu.ca/~alspach/comp23)
7-Card Stud Flush Completion (http://www.math.sfu.ca/~alspach/comp24)
Flushing Dreams in Stud: Part I (http://www.math.sfu.ca/~alspach/mag47)
Flushing Dreams in Stud: Part II (http://www.math.sfu.ca/~alspach/mag48)
Losing Flushes (http://www.math.sfu.ca/~alspach/mag57/)
Suit and Rank Distributions for Boards (http://www.math.sfu.ca/~alspach/comp25)
Enumerating Starting Poker Hands (http://www.math.sfu.ca/~alspach/comp42.pdf)
All About Boards: I (http://www.math.sfu.ca/~alspach/mag70/)
All About Boards: II (http://www.math.sfu.ca/~alspach/mag71)
All About Boards: III (http://www.math.sfu.ca/~alspach/mag72)
All About Boards: III, (http://www.math.sfu.ca/~alspach/mag72)
All About Boards: Part IV (http://www.math.sfu.ca/~alspach/mag74)
All About Boards: Part V (http://www.math.sfu.ca/~alspach/mag75)
All About Boards: Part VI (http://www.math.sfu.ca/~alspach/mag76)
All About Boards: Part VII (http://www.math.sfu.ca/~alspach/mag77)
All About Boards: Part VIII (http://www.math.sfu.ca/~alspach/mag78)
Bad Beat Jackpots: Omaha (http://www.math.sfu.ca/~alspach/comp29)
Multiple Pocket Pairs Held by Players (http://www.math.sfu.ca/~alspach/comp35)
Set Over Set (http://www.math.sfu.ca/~alspach/mag86)
Rank Sets and Straights (http://www.math.sfu.ca/~alspach/comp39)
Probabilities for Successive Memorable Hands (http://www.math.sfu.ca/~alspach/comp45.pdf)
Online Bad-Beat Jackpot Computations (http://www.math.sfu.ca/~alspach/comp46.pdf)
Distribution of Aces Among Dealt Hands (http://www.math.sfu.ca/~alspach/comp47.pdf)
Cracking Aces: Part I (http://www.math.sfu.ca/~alspach/mag42/)
Cracking Aces: Part II (http://www.math.sfu.ca/~alspach/mag43)
Cracking Aces: Part III (http://www.math.sfu.ca/~alspach/mag49)

By the way, here's Alspach on using his work:

<font color="blue"> Feel free to use these computations for whatever purpose is appropriate. All I ask is that you properly acknowledge where you found the computations for those which are new.</font>

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