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The probability of losing the next eight resolved hands is 0.6852%, while the probability of at least one eight-loss streak within 280 resolved hands is 59.14%. These answer different questions: the first concerns a fixed upcoming window; the second covers an entire session, where a streak can start in many places.
These figures use a rule-specific approximation with independent hands and a constant loss probability. They are not universal odds for every blackjack table. Below, you can compare dealt-hand and resolved-hand calculations, then see what a losing streak means for your stakes.
What counts as a loss, and how do pushes count?
A loss here means a negative net hand result; a push means a net result of zero. Before calculating a losing streak, decide whether a push breaks it or is ignored.
The Wizard of Odds net-outcome table gives these results for its Liberal Strip Rules:
- Win: 42.43%
- Push: 8.48%
- Loss: 49.09%
The named rules are six decks, dealer stands on soft 17, doubling allowed on any two cards and after splitting, late surrender, resplitting aces, and up to four hands after splitting: S17/DA2/DAS/LS/RSA/P3X. A soft 17 is a total of 17 with an ace counted as 11. Surrender returns half the original stake, so its negative net result counts as a loss in this table.
There are two ways to count a streak:
- Count every dealt hand. All of the next eight hands must lose. A push or a win breaks the streak.
- Count only resolved, or non-push, hands. Ignore pushes: they neither advance nor break the streak. Eight counted outcomes can therefore take more than eight deals.
For the second convention, loss probability is 0.4909 / (1 − 0.0848) = 0.5363854895, or approximately 53.64%. Wizard Ask #320 explains this conditional probability when pushes are ignored. The calculation uses rounded source percentages; the extra decimal places do not imply equivalent precision in real play.
What are the odds of losing the next 5–10 hands?
For a fixed upcoming window, the probability of all losses is the single-hand loss probability raised to the streak length. For eight resolved hands, that gives 0.6852%; for eight dealt hands, it gives 0.3372%.
Use this table as the reference for the stated model, rather than the embedded calculator.
| Streak length | All next dealt hands lose | All next resolved hands lose |
|---|---|---|
| 5 | 2.8508% | 4.4400% |
| 6 | 1.3995% | 2.3816% |
| 8 | 0.3372% | 0.6852% |
| 10 | 0.08127% | 0.19714% |
The dealt-hand column uses p = 0.4909; the resolved-hand column uses p ≈ 0.536385. The formula p^k assumes independent hands and a constant loss probability, with displayed results rounded as shown.
Read the table as answering: “Will I lose all of the next five, six, eight or ten counted hands?” It does not answer whether such a streak will occur anywhere in a longer session.
The 0.19714% probability for ten resolved hands is approximately one in 507 fixed ten-outcome windows. It does not mean one streak every 507 hands, nor is it an average waiting time.
What are the odds of a losing streak anywhere in a session?
Within 280 resolved hands, the probability of at least one eight-loss streak is 59.14%, and the probability of at least one ten-loss streak is 22.21%. These calculations include every possible starting position, not just the first eight or ten hands.
The results come from an exact Bernoulli dynamic-programming calculation that tracks the current losing streak after each outcome. It accounts for overlapping windows. The calculation is exact within the independent, constant-rate model, but that model remains an approximation of real blackjack.
| Resolved hands in the session | Losing streak length | Probability of at least one such streak |
|---|---|---|
| 100 | 5 | 89.63% |
| 100 | 8 | 26.45% |
| 100 | 10 | 8.15% |
| 280 | 8 | 59.14% |
| 280 | 10 | 22.21% |
Neighboring windows are not independent. For example, hands 1–10 and hands 2–11 share nine outcomes. Consequently, 1 − (1 − p^k)^(N − k + 1) does not give the correct session probability.
Here, 280 means 280 resolved hands, not 280 deals including pushes. Keep that convention when using the table.
What do these odds say about the next hand or game fairness?
A losing streak does not make a win “due,” and it does not prove that a game is unfair. In the independent-hand model, the next-hand loss probability stays the same regardless of previous losses.
In real play, removing cards changes the composition of the remaining shoe, so hands are not fully independent. Conditional probabilities can change, but streak length alone cannot provide a universal prediction for the next outcome.
Do not confuse loss probability with the house edge. House edge measures expected loss relative to the initial bet, not the proportion of hands lost. Variance describes the spread of results; it does not promise a recovery after losses.
A 6:5 payout reduces the payout for a natural blackjack and affects the house edge. It does not automatically produce a new hand-loss probability. See the Wizard of Odds blackjack basics when comparing payout rules.
How much can a streak cost, and what can you do?
Eight full losses at a fixed base stake of $10 cost $80. With a Martingale that doubles the stake after each loss, the same eight losses cost much more.
| Approach | Stakes across eight losing hands | Total loss |
|---|---|---|
| Fixed stake | $10 on each hand | $80 |
| Martingale | $10, $20, $40, $80, $160, $320, $640, $1280 | $2550 |
The next Martingale stake would be $2560. Doubling changes your financial exposure, not the probability of the outcome.
This is a stylized example with full losses only: it excludes pushes, surrender, extra wagers for splits or doubles, and table limits. Even with a fixed base stake, splitting and doubling can increase the total amount at risk. The example provides no guarantee that a bankroll will last.
A practical approach is to:
- Identify the rules and choose your push convention. Use the matching fixed-window column, or the separate session table if you want the probability of at least one streak.
- Set an affordable fixed base stake and loss limit before playing. Do not derive a “safe” bankroll from a single streak probability. Continue with the blackjack bankroll guide.
- Check an uncertain basic strategy decision. In the blackjack strategy lookup, select T♠ and 6♣ for your hand and T♥ for the dealer. Under the current defaults, hard 16 against a dealer ten returns “Surrender” when surrender is allowed.
- Use the Martingale simulator to examine stake progression. It uses a win probability you set; it is not a blackjack shoe model.
Basic strategy provides a rule-specific decision for a hand. It does not calculate losing streak odds, predict the next outcome or guarantee a win.
English blackjack strategy lookup showing hard 16 with T♠ and 6♣ against dealer T♥, with Surrender as the result under the current defaults
First-party English screenshot from local development, not production, captured on 2026-10-09. For T♠+6♣ against dealer T♥, the current defaults return “Surrender” for hard 16 when surrender is allowed.
Can you rely on the embedded calculator?
Do not rely on its session result; use the independent calculations above. The widget is retained, but its session calculation has a known error.
Important: the calculator overcounts overlapping windows by treating possible streak starts as independent. For 280 resolved hands and a ten-loss streak, it displays 41.42%, while the exact calculation in the stated model gives 22.21%. Its other rule presets are not independently sourced and should not be treated as verified inputs. The article’s independent calculations govern.
Does the chart contain article data?
No. The retained chart block contains no verified article data. Use the tables above for numerical comparisons; the empty chart provides no additional evidence for the calculations.
Frequently Asked Questions
Choose a convention first. If you count every dealt hand, a push breaks the losing streak. If you count only resolved hands, a push neither advances nor breaks it. Under the rules used here, loss probability is 49.09% per dealt hand and about 53.64% per resolved hand.
Not in the independent, constant-rate model: the probability of the next loss stays the same. In a real finite shoe, card removal can change conditional probabilities, but streak length alone does not provide a universal forecast.
No. It describes the probability of ten losses in one fixed window of ten resolved hands. It is not the average waiting time between streaks, because neighboring windows overlap.
No. A streak alone proves neither fairness nor unfairness. These tables describe probabilities within a stated model; they do not verify a particular casino.
No. A 6:5 payout reduces the payout for a natural blackjack and affects the house edge. It does not automatically translate into a hand-loss probability, which requires separate rule-specific outcome data.









