Start here · Essential guide
Poker Hand Rankings and the Combinatorics Behind Them
Why a flush beats a straight and a pair beats nothing: count every five-card hand in a 52-card deck and see how rarity produces the standard poker ranking.
Game by Game
Video Poker and Poker Math
Hand rankings, combinatorics and the difference between playing the house and other players.
How Video Poker Works and Why Pay Tables Matter
Video poker pairs a one-draw poker hand with a fixed payout schedule. See how the deal, hold and draw steps work and why the payouts shape the game.
Optimal Play in Video Poker: What It Can and Cannot Do
Correct hold choices lower the cost of video poker but never remove the house edge or guarantee results. Learn what optimal play means and where its limits are.
Poker Versus House Games: Who Is the Opponent
In poker you play other people and the room takes a fee. In house games the operator is the opponent. See how the poker rake differs from a built-in edge.
Pot Odds and Implied Odds Explained
Learn the arithmetic poker players use for calling decisions: how to compare a bet to the pot, estimate a draw, and why implied odds add uncertainty, not profit.
Reading a Video Poker Pay Table
Learn to read a video poker pay table line by line, compare two tables, and understand in general terms what lowering a single payout does to the game.
Skill and Chance in Poker: How the Balance Is Debated
How much of poker is skill and how much is luck? An overview of the general debate, why it is hard to measure, and why it matters for how games are regulated.
Three Card Poker and Other Table Poker Variants
House-banked poker-style table games use poker hands but not poker's player-versus-player rules. See how Three Card Poker works and how its rules set the edge.
Why Bluffing Does Not Exist Against a Machine
Bluffing only works when an opponent can be influenced by what you bet. See why it plays no role against a machine or a dealer who follows fixed rules.
Why Video Poker Variance Is Driven by the Royal Flush
A very rare top hand carries a large share of a video poker machine's return, which is why long dry spells are normal. See the math with a hypothetical example.
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