Profit factor is gross profit divided by gross losses: how much you win for each unit you lose, before the two are netted against each other.
Profit factor = gross profit / gross losses
The numerator counts the profit on winning bets — the return minus the stake — and the denominator the stakes lost on losing bets. A break-even record therefore shows a profit factor of exactly 1.0. Win $1,100 and lose $800, and the ratio is 1.38: every dollar lost came with $1.38 won.
What the Number Means
Profit factor is fixed by the same inputs that produce yield — hit rate, the odds, and stake size. For bets placed at a single odds d, with unit stakes, the ratio comes straight from the win rate W:
Profit factor = W × (d − 1) / (1 − W)
For a real record where odds vary, the same ratio reads through yield instead — because net profit is gross profit minus gross losses:
Profit factor = 1 + yield / (1 − W)
A sustained Yield in the low single digits already counts as strong, and across realistic hit rates that maps to a profit factor of roughly 1.05–1.15:
| Hit rate | Yield 3% | Yield 5% | Yield 10% |
|---|---|---|---|
| 25% | 1.04 | 1.07 | 1.13 |
| 40% | 1.05 | 1.08 | 1.17 |
| 50% | 1.06 | 1.10 | 1.20 |
| 65% | 1.09 | 1.14 | 1.29 |
The odds each cell implies follow from its hit rate and yield. A ratio of 1.1–1.3 is a profitable record. The figures often quoted as strong — 1.5 and above — imply a yield of roughly 17% at a 65% hit rate up to 38% at a 25% hit rate, far beyond what bookmaker margins allow a bettor to sustain: a 1.5 on a real record is a reason to check the sample before drawing conclusions. Above 2.0 the shape concentrates in small samples and longshot-heavy histories running hot.
Statistical Significance
At Average Odds of 2.00 the formula simplifies to:
profit factor = W / (1 − W)
A strategy with a true 53% hit rate — a 6% yield and a true profit factor of 1.13 — reads differently depending on how many bets stand behind it:
| Sample | Win rate, ±2 SD | Profit factor range |
|---|---|---|
| 100 bets | 43–63% | 0.75–1.70 |
| 1,000 bets | 50–56% | 0.99–1.28 |
| 2,500 bets | 51–55% | 1.04–1.22 |
On 100 bets the ratio carries no information: a genuinely profitable strategy reads anywhere from 0.75, a losing record, to 1.70, a star. The range closes in slowly, and the lower edge clears 1.0 only around 1,100 even-money bets. At 750 bets the same strategy reads from 0.97 to 1.31, so a ratio of 1.2 on a record of that size is well inside the noise.
Longer odds widen the range: a win-rate estimate off by two percentage points moves a ratio near 1.1 from 1.04–1.22 at even odds to 0.87–1.36 at average odds of 11.00, where the same ratio rests on a win rate near 10% instead of 53%.
Where It Misleads
One big win moves the ratio far more than its share of the profit suggests. Take 100 flat bets of $100 with 60 winners at 2.00: gross profit of $6,000 against $4,000 of losses gives a profit factor of 1.5. Swap a single winner for a $100 ticket at 27.00 — one bet out of a hundred, the same 60% hit rate — and gross profit jumps to $8,500, the ratio to 2.1, and net profit from $2,000 to $4,500. The strategy did not change; one longshot landing carried the record.
The ratio also depends on stake sizing: the same selections at the same prices produce different figures depending on which bets carried the bigger stakes, so a Kelly-staking history does not compare directly with a flat-staking one.
- The ratio carries no time dimension: a 1.3 over ten years and a 1.3 over a month are different records.
- It hides the shape of the profit path: a longshot-heavy history can show an attractive ratio while spending most of its time in drawdown, where Bankroll Charts and the Sharpe Ratio capture that path.
- Volume is invisible: a profitable record can carry a modest ratio on heavy turnover while a skinny record shows an impressive one.
- A record with no losing bets — a winning streak or a history settled entirely as voids — leaves the denominator at zero, so the ratio becomes undefined — the record says nothing about profitability until a losing bet appears.
Profit Factor, ROI, and Yield
Return on Investment and Yield net gross profit against gross losses; profit factor divides the two. The conversion runs either way:
Yield = (profit factor − 1) × (1 − hit rate)
A 1.13 ratio at a 50% hit rate is a 6.5% yield; the same ratio at a 65% hit rate is a 4.5% yield. Profit factor is the ratio form of EV: expectancy subtracts gross losses from gross profit, the ratio divides them, and both describe the same record. The ratio confirms what already happened — CLV shows whether the prices were good before the results landed.
Commission and Settlement
Exchanges charge commission on net winnings, so the ratio shrinks after costs. At a 5% commission a profit factor of 1.30 before costs reads 1.24 after it: the numerator shrinks by 5%, and the denominator stays because losses pay no commission.
Settlement rules matter too. Profit factor counts settled bets only; voided bets and pushes carry no result and stay out of both flows, just as Hit Rate excludes them from its count. A tracker that grades a void as a loss inflates the denominator and drags the ratio down without anything changing in the record. A cashout enters the flows like any other settlement, at the price realized when the bet closes.
Profit Factor in Trackers
Profit factor rarely appears on tracker dashboards, where ROI and yield dominate the performance stats. Bettors who want it compute it from exported history in a spreadsheet. WinnerOdds is the exception, defining profit factor as gross winnings divided by gross losses. The wording matters, because “gross winnings” can mean the full return, stake included, while the formula above counts only the profit. At a 60% hit rate and average odds 1.80 the profit convention gives 1.2 and the winnings convention 2.7 — the same record, more than double the ratio. The 2.0 benchmark above holds only for the profit convention; a winnings-based figure from a favorite-grinding record can exceed it routinely. The winnings convention sits above 1.0 even at break-even, because gross winnings include the returned stake — its threshold differs from the 1.0 used above.
See Also
- ROI — the netted version of the same two flows
- Yield — the same record read as a percentage of turnover
- EV — the forward-looking edge the ratio reflects in hindsight
- CLV — whether the prices behind the record were good
- Hit Rate — the win frequency that sets the ratio
- Average Odds — the price level that decides how noisy the number is
- Bankroll Charts — the profit path behind the ratio
- Sharpe Ratio — the same return adjusted for risk
- Metrics — all performance metrics