Blackjack house edge, odds and probabilities
Understand blackjack house edge, natural-blackjack probability, outcome odds and why basic strategy and table rules change expected returns.
House edge describes a model
House edge is the casino’s expected advantage relative to the initial stake under a specified rule set and strategy. It is not the chance that your next hand loses.
There is no universal percentage
Deck count, soft-17 rule, blackjack payout, doubling, splitting and surrender all affect the result. A quoted number such as 0.5% needs its rule assumptions and a calculation source.
What basic strategy changes
A matching strategy chart selects actions for its model. It does not eliminate variation or guarantee profit. Payout ratios such as 3:2 are settlement rules, not win probabilities.
Using this site’s tools
The hand calculator returns table decisions, not expected values. The payout calculator uses arithmetic, not probability. A composition-dependent odds solver would be a separate product requiring separate verification.
Probability of a natural blackjack
In a fresh single deck, a natural can arrive ace first or ten-value card first: 2 × (4/52) × (16/51) = 4.8265%, about 1 in 20.72 initial hands. With six fresh decks it is 2 × (24/312) × (96/311) = 4.7489%. This counts the player’s initial two cards before conditioning on the dealer’s cards.
A natural frequency is not the chance of winning an ordinary hand. Pushes, dealer blackjack and settlement rules affect outcomes. For one-hit player risk and eventual dealer busts, see the blackjack bust probability charts.
What does a house edge around 0.5% mean?
As one explicit model, basic strategy aims to reduce decision errors; it does not set a universal house edge. Wizard of Odds’ infinite-deck analysis reports a player expectation of −0.511734% for its stated S17, double-after-split and split-limit rules. That is an example of a model near 0.5%, not a measured edge for every table or for all settings on this site.
A 0.5% house edge represents an average expected loss of $0.50 per $100 of initial wagers over the model’s long run. It does not mean losing half of one percent of hands. Changing the natural payout, dealer soft-17 rule, deck count or player restrictions changes the expected return.
Blackjack odds table: what each number measures
Use this table to distinguish the chance of an initial natural, the chance of busting on a hit and the long-run expected loss. The natural probabilities assume a fresh deck or shoe before any exposed cards; the house-edge illustration uses the separately stated infinite-deck rules.
| Quantity | Model | Value or meaning |
|---|---|---|
| Initial player natural | Fresh single deck, no dealer-card conditioning | 4.8265% |
| Initial player natural | Fresh six-deck shoe, no dealer-card conditioning | 4.7489% |
| Bust on one hit from hard 16 | Infinite deck | 61.54% |
| Eventual dealer bust showing 6 | Infinite deck, S17 | 42.32% |
| Illustrative house edge | Published infinite-deck S17 model linked above | 0.511734% of the initial wager |
| Win a hand | Depends on rules, strategy and outcome definition | See the outcome example below |
Download the blackjack odds chart PDF
The blackjack odds chart PDF collects the model assumptions, natural frequencies and player and dealer bust tables. Use the live bust probability guide for the explanations.
What is the probability of winning at blackjack?
In Wizard of Odds’ basic-strategy simulation, the summarized net outcomes are 42.43% wins, 8.48% pushes and 49.09% losses. The example uses six decks, S17, doubling on any first two cards, double after split, late surrender, resplitting aces and up to three resplits.
These are net results from one initial playing position, including the combined result if it splits. They are not a promise for a particular hand or every table. Win frequency and house edge differ because blackjack, doubles, surrender and splits can win or lose different amounts.