Losing streak calculator for binary options
A 60% win rate does not mean six wins in every ten. It means streaks — and this shows you exactly how long and how often the bad ones arrive.
The exact odds of hitting a run of wins or losses — the number martingale plans live or die on.
A streak that looks rare on a single trade becomes close to certain over a long session. That is why the line climbs, and why "it has never happened to me" is not a risk plan.
With a martingale ladder the same streak costs far more, because each step doubles. Use the Martingale calculator to size a ladder that survives this many losses.
What the losing streak calculator does
Most traders abandon a perfectly good strategy during a streak that was statistically expected. Knowing in advance that a 7-loss run will probably show up in the next few hundred trades turns a crisis into a shrug.
The calculator gives you three things: the probability of an exact streak length, the chance of seeing at least one such streak across a given number of trades, and the balance damage at your current stake.
Use the longest streak you are likely to face to set your maximum ladder depth and your daily stop. If a plausible streak breaks the account, the stake is too large — not the strategy.
The formula, explained
P(streak of n) = (1 − p)^n · P(at least one in N trades) ≈ 1 − (1 − (1−p)^n)^(N−n+1)
- p
- — win rate as a decimal
- n
- — streak length you are testing
- N
- — how many trades you plan to take
The second formula is the one that matters. A single 8-loss streak has a tiny probability, but across 1,000 trades it becomes likely. Rare per-trade events are common per-career.
A real set of numbers
| Streak | Chance on any given run | Expected occurrences per 500 trades | Cost at 2% risk |
|---|---|---|---|
| 3 losses | 7.4% | about 37 | −5.9% of balance |
| 5 losses | 1.3% | about 6.5 | −9.6% |
| 7 losses | 0.23% | about 1.1 | −13.2% |
| 9 losses | 0.04% | about 0.2 | −16.6% |
| 11 losses | 0.007% | about 0.03 | −19.9% |
At a solid 58% win rate you should expect a 7-loss streak roughly once every 500 trades. Any plan that cannot absorb it is not a plan.
When to use it — and when not to
Use it when
- Setting the maximum depth of a martingale or recovery ladder.
- Deciding whether a bad week is variance or a broken strategy.
- Sizing a daily stop that survives a normal bad session.
- Explaining to yourself why a 65% bot still had a red day.
Don't rely on it when
- Your trades are correlated — several simultaneous positions on the same pair behave as one trade, which lengthens real streaks.
- Market conditions changed. A streak during a news spike is not the same distribution as a calm session.
Losing streak calculator questions, answered
+How many losses in a row are normal at a 60% win rate?
Five in a row happens roughly once per 100 trades, seven roughly once per 600. Neither means anything is wrong.
+How do I know if my strategy is actually broken?
Compare the observed streak to the expected worst streak for your trade count. If you are seeing runs far longer than the model predicts, or the win rate over the last 100 trades sits well below your historical rate, investigate.
+Do winning streaks follow the same maths?
Yes — swap the loss rate for the win rate. At 58% you can expect a 7-win streak about once every 90 trades, which is why people over-estimate strategies after a hot run.
+Does a losing streak make a win more likely next trade?
No. Each trade is independent. The gambler's fallacy is the most expensive belief in trading.
Put the numbers to work
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