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Yes, a strategy with a 40% win rate can have positive expectancy. The required condition is that average net wins are large enough relative to average net losses. With a 40% win probability and 60% loss probability, the break-even average-win-to-average-loss ratio before costs is: 0.60 ÷ 0.40 = 1.5 A ratio above 1.5 produces positive gross expectancy if the probability and payoff estimates are accurate. Costs raise the required ratio.

Examples

If average costs equal 0.10R per trade, the 2.0R example has approximately +0.10R net expectancy.

Planned vs realized payoff

A target of 2R does not imply an average win of 2R. Partial exits, early closes, trailing stops, missed targets, slippage, and gaps change realized results. Use the live average win and loss after costs.

Sequence risk

A 40% win-rate process loses 60% of trades on average and can produce long losing sequences. The outcomes may also be dependent because of market regime, correlated signals, or execution conditions. Positive expectancy therefore does not answer:
  • the maximum likely drawdown;
  • the chance of a daily-loss breach;
  • how long recovery can take;
  • whether the trader can execute through the losing sequence.
Use Monte Carlo or another sequence-aware method to estimate those properties.

Prop-account test

Before using the strategy in an evaluation or funded account:
  1. calculate net expectancy from comparable trades;
  2. simulate the actual position-sizing policy;
  3. apply the firm’s daily and maximum-loss calculations to each path;
  4. include correlated positions and open P&L;
  5. estimate breach frequency with conservative costs and slippage.
A positive average is insufficient if the account is likely to hit a hard boundary before the edge can emerge.

What is expectancy?

Review the formula and estimation problems.

Win rate and profitability

Understand why accuracy is only one input.

Monte Carlo simulation

Model losing sequences and rule breaches.

Prop risk framework

Fit the distribution inside account constraints.