Win Rate vs. Risk-Reward: The Math Behind Profitable Trading

Here is a statement that surprises most new traders: a trader who loses 60% of the time can be far more profitable than one who wins 90% of the time.

It feels wrong. It is also basic arithmetic, and understanding it will change what you optimize for.

Expectancy: The Only Number That Matters

Expectancy tells you what an average trade earns you over the long run:

Expectancy = (Win rate x Average win) - (Loss rate x Average loss)

If that number is positive, your strategy makes money over enough trades. If negative, no amount of discipline saves it.

Two Traders, One Lesson

Trader A wins 90% of the time. Average win: $50. Average loss: $600.

Expectancy: (0.90 x 50) - (0.10 x 600) = 45 - 60 = -$15 per trade.

Trader A feels like a genius for months — nine trades out of ten are winners. The account still shrinks. This is the classic profile of selling far out-of-the-money options or cutting winners instantly while letting losers run.

Trader B wins only 40% of the time. Average win: $300. Average loss: $100.

Expectancy: (0.40 x 300) - (0.60 x 100) = 120 - 60 = +$60 per trade.

Trader B is wrong more often than right and steadily compounds. Six losses in a row feel terrible — and do not matter.

The Break-Even Table

For each risk-reward ratio, this is the win rate you need just to break even:

• 1:1 risk-reward — need above 50% win rate
• 1:2 risk-reward — need above 33%
• 1:3 risk-reward — need above 25%
• 2:1 risk-reward (risking 2 to make 1) — need above 67%

Every strategy lives somewhere on this curve. Trouble starts when traders run a low risk-reward style while believing their win rate is higher than it actually is.

Why You Cannot Trust Your Memory

Almost everyone overestimates their own win rate. Winners are memorable; losers get mentally filed under bad luck and forgotten.

The only cure is data. After 50 logged trades you know your real win rate, your real average win and loss, and your real expectancy. Most traders who finally calculate it discover their profitable feeling strategy has negative expectancy — kept alive by one lucky outlier.

What to Do With This

• Calculate your expectancy from your last 30-50 trades — measured, not remembered
• If it is negative, the fix is usually cutting losers sooner or letting winners run further, not finding new entries
• Stop judging single trades by outcome; judge whether you followed a positive-expectancy process
• Recalculate monthly — strategies drift as markets change

Trackfolio computes win rate, average win and loss, and P&L per strategy automatically from your trade journal, so you can see your expectancy instead of guessing it. The market pays traders who know their numbers.

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