Probability of one specified run
If the probability of loss is (q), the probability that one specified block of (k) independent trades is entirely losing is: q^k For a 60% loss probability, one specified run of eight losses has probability (0.6^8), or about 1.68%. The chance of seeing at least one eight-loss run over a long history is higher because the history contains many possible starting points. Calculating the exact probability of at least one run requires accounting for overlapping sequences. Simulation is often the more practical method.Independence may be unrealistic
Trading losses can cluster more than an independent model predicts when:- several trades share one market regime;
- positions are correlated;
- the strategy signal persists across entries;
- execution quality deteriorates during volatility;
- rules change after losses;
- one operational failure affects several orders.
Plan for more than the historical maximum
The longest observed streak is a sample result, not a future ceiling. A risk plan should test longer runs, larger average losses, and clusters of correlated positions. At fixed-fractional risk (r), equity after (k) full-loss trades is: remaining equity = initial equity × (1 − r)^k That calculation shows how position size converts a streak into drawdown.Diagnose a live streak
Ask:- Were the trades eligible under the written strategy?
- Did execution, costs, or slippage change?
- Are losses concentrated in one market condition?
- Did correlated positions make the sequence effectively larger?
- Is the result inside the strategy’s uncertainty range?
- Has evidence for the strategy’s edge weakened?
Monte Carlo simulation
Estimate run lengths across many paths.
Surviving 20 losses
Calculate the account effect of a long run.
Managing drawdowns
Predefine the response before the streak.
Risk of ruin
Define the failure threshold.