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Coin-Flip Forex Entries: How to Build a Valid Control

Research protocol · Reviewed 24 Aug 2026

Random entries can be a useful control for testing whether an entry rule adds information. The experiment must randomize more than direction and must respect the fact that a farther target is less likely to be reached before a nearer stop.

Correct the probability

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A coin chooses direction, not a fifty-percent target hit rate

With a stop one unit away and a target two units away, a direction coin does not imply that the farther target will be hit half the time. In a simplified driftless process, the upper boundary is reached roughly one-third of the time before the nearer lower boundary; costs make the real break-even requirement harder.

  1. Randomize direction and entry time separately.
  2. Use many seeds or repeated samples.
  3. Apply spread and slippage.
  4. Compare the strategy with the distribution of random controls.

Position sizing controls damage; it does not create positive expectancy from arithmetic alone.

Randomize a complete control

Preselect eligible timestamps or sample them without looking, flip direction, use the same stop and target logic as the strategy, and include realistic costs. Repeat the test with many random seeds rather than treating one hundred trades as the answer.

Compare distributions, not anecdotes

Plot the strategy result against the distribution of random-control expectancy, drawdown, and hit rate. Risk limits can reduce ruin and volatility, but positive expectancy must come from the full entry-and-exit process after costs.

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