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Casino house edge is the share of each £1 staked that the operator keeps on average. It comes from the gap between true odds and paid odds: £10 on red at a single-zero wheel costs 27p, or 2.70%.
Read What is casino house edge and how does it work?
Separate the chance of an event, the expected count and the value of a payout, with worked examples and an offline probability worksheet.
Read How do you read online casino probabilities without confusing the question?
The house edge in blackjack is the operator’s share of each £1 staked over a very large number of hands: about 0.28% under liberal rules with basic strategy, and 1.36 points more when blackjack pays 6 to 5. The working, with £10 put through it.
Read What is the house edge in blackjack: the sum, worked in pounds
Six matching results in a chosen window and six matching results somewhere in a longer record are different events. Count the windows before judging the streak.
Read A casino streak looks rarer when you hide the search that found it
A fixed-stake experiment separates expected loss, cash swings and the chance of finishing ahead. More trials do not turn any of those into a personal forecast.
Read A longer casino session changes more than the average loss
Expected value describes a mathematical average. It does not describe the money a particular person will finish with.
Read An average is not a session forecast
Over ten independent trials at a fixed 10% chance, the chance of one or more occurrences is 65.13%. Here is the sum, the assumption it rests on, and where it breaks.
Read One or more is not certainty: the sum, worked in poundsFor a slot the published figure is RTP, and the house edge is 100% minus it; the Commission’s guide says gaming machines must make their %RTP available, and online slot help pages usually state it. Slot-specific detail belongs to Reel & Story; this page is the arithmetic.
From What is the house edge in blackjack: the sum, worked in pounds
Mostly as RTP on the game’s help page rather than as an edge, and for blackjack as a rule sheet, because the edge depends on the player’s decisions. We did not survey operators and name none.
From What is the house edge in blackjack: the sum, worked in pounds
They add to 100% for a fixed-rule game: a 96% RTP is a 4% house edge. Both are averages over a very large number of plays, which the Commission’s guide says is ‘not each time the gaming machine is played’.
From What is the house edge in blackjack: the sum, worked in pounds
From the payout and the pocket count: on a single-zero wheel a straight-up bet pays 35 to 1 against 37 pockets, so EV = (1/37 × 35) − (36/37 × 1) = −1/37, a 2.70% edge. Wheel Theory applies this to every roulette bet.
From What is the house edge in blackjack: the sum, worked in pounds
Of the rule sets on this page, blackjack under liberal Vegas Strip rules at 0.28% with basic strategy, per Wizard of Odds; baccarat’s banker bet at 1.06% is the lowest that does not depend on your decisions. Lowest is a cost, not a gain.
From What is the house edge in blackjack: the sum, worked in pounds