On Friday morning, before the open, Sam reread the end of his risk of ruin notes (Lesson 55: Risk of Ruin). His own settings, a 40% Win RateWin rate is the percentage of your trades that result in a profit — calculated as (number of winning trades ÷ total trades) × 100 — and while commonly cited as a measure of trading success, it means very little without also knowing the averRead definition → and 1:2 trades, had survived the simulation just fine at 1% risk.
That bothered him. Forty percent means losing six trades out of ten. Every instinct he had said a strategy that loses most of the time can't be a good one. And the ads in his feed kept promising "90% win rates."
So which number actually matters?
In 30 seconds
- Win rate is the share of your trades that make money; on its own it says nothing about whether a strategy is profitable.
- ExpectancyExpectancy is the average amount your strategy makes or loses per dollar risked — it's the single best number for evaluating whether your trading approach has a real mathematical edge.Read definition → is the average result per trade: (win rate × average win) minus (loss rate × average loss), minus costs.
- A 40% win rate with wins twice the size of losses has positive expectancy, while a 60% win rate with wins smaller than losses can lose money.
- In a DayTradingToolkit simulation, even a strategy with positive expectancy was behind after 20 trades for 41% of hypothetical traders, so short records mislead.
In this lesson you'll learn what win rate and expectancy mean, how to calculate expectancy in dollars and in R, why a 90% win rate can still lose money, and how many trades it takes before your numbers mean anything. It builds on Lesson 53: The Risk/Reward Ratio.
What is win rate?
Win rate is the percentage of your trades that close with a profit: winning trades divided by total trades, times 100.
It's the number people brag about, because it feels like a score. But it's like judging a shop by how many customers walk out with a bag. A shop that sells a hundred $1 items at a loss and a shop that sells ten $100 items at a profit tell you nothing about each other until you look at the size of each sale.
Your brain counts trades. Your account counts dollars. A win rate only becomes meaningful next to the size of the wins and losses that produced it, and the number that joins them is expectancy.
What is expectancy in trading?
Expectancy is the average amount a strategy makes or loses per trade over many trades, combining how often it wins with how much it wins and loses.
The formula:
Expectancy = (win rate × average win) − (loss rate × average loss) − average costs
It's easiest in R, where 1R is your planned Risk Per TradeRisk per trade is the maximum dollar amount you're willing to lose on a single position if your stop is hit — typically expressed as a percentage of your total account equity (commonly 0.5%–2% per trade) and used as the foundation for calcuRead definition → (the dollars you lose if the stop is hit, as set in Lesson 52: Position Sizing). Take a strategy that wins 40% of the time, makes 2R on winners, loses 1R on losers and pays 0.06R in costs every trade (roughly Sam's costs from Lesson 49):
(0.40 × 2) − (0.60 × 1) − 0.06 = +0.14R per trade
At Sam's $60 risk, that's about $8.40 per trade on average. Not exciting, and not guaranteed, but positive. Over 100 trades it would add up to roughly $840, with a lot of noise around it. You'll see exactly how much noise in a few sections.
Where does a number like +0.14R come from? Mostly from how often your setup beats a coin flip. As Lesson 53 showed, in a pure random walk a 1:2 target gets hit first about one time in three, whatever you do. Sam's 40% is a nearly seven-point edge over that one-in-three, and the edge is the only reason the arithmetic comes out positive.
Why can a 40% win rate beat a 60% win rate?
A 40% win rate can beat a 60% win rate when the winners are much larger relative to the losers, because expectancy depends on win size as much as on win frequency.
- Strategy
- A
- Win rate
- 60%
- Payoff (win ÷ loss)
- 0.8
- Expectancy after 0.06R costs
- +0.02R
- Average per 100 trades at $60 risk
- +$120
- Strategy
- B
- Win rate
- 50%
- Payoff (win ÷ loss)
- 1.0
- Expectancy after 0.06R costs
- −0.06R
- Average per 100 trades at $60 risk
- −$360
- Strategy
- C
- Win rate
- 40%
- Payoff (win ÷ loss)
- 2.0
- Expectancy after 0.06R costs
- +0.14R
- Average per 100 trades at $60 risk
- +$840
- Strategy
- D
- Win rate
- 30%
- Payoff (win ÷ loss)
- 3.0
- Expectancy after 0.06R costs
- +0.14R
- Average per 100 trades at $60 risk
- +$840
- Strategy
- E
- Win rate
- 40%
- Payoff (win ÷ loss)
- 1.2
- Expectancy after 0.06R costs
- −0.18R
- Average per 100 trades at $60 risk
- −$1,080
| Strategy | Win rate | Payoff (win ÷ loss) | Expectancy after 0.06R costs | Average per 100 trades at $60 risk |
|---|---|---|---|---|
| A | 60% | 0.8 | +0.02R | +$120 |
| B | 50% | 1.0 | −0.06R | −$360 |
| C | 40% | 2.0 | +0.14R | +$840 |
| D | 30% | 3.0 | +0.14R | +$840 |
| E | 40% | 1.2 | −0.18R | −$1,080 |
Calculated from the formula above. Hypothetical strategies.
Strategy A wins most often and barely breaks even. Strategy B, a coin flip with even payoffs, loses money once costs are counted. C and D lose most of their trades and have the best expectancy on the table. Strategy E shows the flip side: a 40% win rate with a payoff of only 1.2 is a steady loser.
So a low win rate alone is harmless. It only hurts when the winners are small too.
Can a 90% win rate still lose money?
Yes. A strategy can win 90% of its trades and still lose money if the 10% of losers are large enough, because the average loss does the damage the win rate hides.
Here's a made-up strategy of the kind a flashy ad might describe:
- Item
- Win rate
- Value
- 90%
- Item
- Average win
- Value
- +0.3R ($18 at $60 risk)
- Item
- Average loss
- Value
- −4R ($240)
- Item
- Expectancy before costs
- Value
- (0.90 × 0.3) − (0.10 × 4) = −0.13R
- Item
- Expectancy after 0.06R costs
- Value
- −0.19R, about −$11.40 a trade
- Item
- Win rate needed to break even before costs
- Value
- about 93%
| Item | Value |
|---|---|
| Win rate | 90% |
| Average win | +0.3R ($18 at $60 risk) |
| Average loss | −4R ($240) |
| Expectancy before costs | (0.90 × 0.3) − (0.10 × 4) = −0.13R |
| Expectancy after 0.06R costs | −0.19R, about −$11.40 a trade |
| Win rate needed to break even before costs | about 93% |
DayTradingToolkit calculation. Hypothetical strategy, not a real record.
Nine trades out of ten feel great. Over 100 trades the strategy above still loses about $1,140. The one trade that goes wrong costs thirteen times as much as a typical win makes.
This is the pattern the U.S. Commodity Futures Trading Commission (CFTC) warns about. Its advisory on AI trading bots says scammers claim their algorithms can "yield 100 percent 'win' rates." A win rate shown without the average win, the average loss and a long, checkable record is a sales number.
Can you just pick a high payoff and a high win rate?
No. Win rate and payoff pull against each other: a closer target gets hit more often but pays less, and a distant target pays more but gets hit less often.
Move Sam's target from $1.00 to $2.00 above entry and the payoff doubles, but the price has to travel twice as far before the stop is hit. Fewer trades will make it. That's why a 1:5 target isn't automatically better than a 1:2 one, as Lesson 53 warned.
The only way to know where your strategy sits is to measure it. Your target should come from the chart; your win rate and average R should come from your logged trades. And once you have a number, the next question is how much to trust it.
How many trades does it take to know your expectancy?
It takes far more trades than most beginners expect, because random streaks swamp the real edge over short runs.
The DayTradingToolkit simulation ran each strategy from the table for 10,000 hypothetical traders and counted how many were ahead after 20, 100 and 500 trades.
- Strategy
- A: 60%, 1:0.8
- Expectancy
- +0.02R
- Ahead after 20 trades
- 59%
- Ahead after 100
- 63%
- Ahead after 500
- 69%
- Strategy
- B: 50%, 1:1
- Expectancy
- −0.06R
- Ahead after 20 trades
- 42%
- Ahead after 100
- 25%
- Ahead after 500
- 8%
- Strategy
- C: 40%, 1:2
- Expectancy
- +0.14R
- Ahead after 20 trades
- 59%
- Ahead after 100
- 82%
- Ahead after 500
- 98%
- Strategy
- E: 40%, 1:1.2
- Expectancy
- −0.18R
- Ahead after 20 trades
- 25%
- Ahead after 100
- 4%
- Ahead after 500
- 0%
| Strategy | Expectancy | Ahead after 20 trades | Ahead after 100 | Ahead after 500 |
|---|---|---|---|---|
| A: 60%, 1:0.8 | +0.02R | 59% | 63% | 69% |
| B: 50%, 1:1 | −0.06R | 42% | 25% | 8% |
| C: 40%, 1:2 | +0.14R | 59% | 82% | 98% |
| E: 40%, 1:1.2 | −0.18R | 25% | 4% | 0% |
DayTradingToolkit simulation, fixed seed, independent trades, costs of 0.06R per trade. Hypothetical, not real trader data.
Read the 20-trade column. Four in ten traders with a genuinely positive strategy (C) were behind. And 42% of traders with a losing strategy (B) were ahead, feeling great about a system that loses over time. A few weeks of results can't tell those two apart.
"Ahead" only says which side of zero you landed on. It doesn't show how far results can swing, so a second run looked at the dollars. It followed strategy C at $60 of risk for 100,000 hypothetical traders:
- Trades
- 20
- Middle 90% of outcomes
- −$552 to +$888
- Median outcome
- +$168
- Trades
- 100
- Middle 90% of outcomes
- −$600 to +$2,280
- Median outcome
- +$840
- Trades
- 500
- Middle 90% of outcomes
- +$960 to +$7,440
- Median outcome
- +$4,200
| Trades | Middle 90% of outcomes | Median outcome |
|---|---|---|
| 20 | −$552 to +$888 | +$168 |
| 100 | −$600 to +$2,280 | +$840 |
| 500 | +$960 to +$7,440 | +$4,200 |
DayTradingToolkit simulation: 100,000 hypothetical traders, 40% win rate, 1:2, 0.06R costs, $60 risk, independent trades. "Middle 90%" runs from the 5th to the 95th percentile.
After 20 trades, a trader running the same good strategy could be down $552 or up $888 and neither would be a surprise. The RangeA range (or trading range) is a price zone where a stock oscillates between a defined support floor and resistance ceiling without making meaningful new highs or lows — price is consolidating rather than trending, and the dominant trade is Read definition → narrows slowly. Only around 500 trades does the bottom of the range climb above zero.
A second calculation asks how many trades you'd need before luck alone rarely explains a positive average. The test is that the average result per trade sits roughly 1.65 to 2 standard errors above zero (a standard error is how far an average typically wobbles by chance).
- Strategy
- A: 60%, 1:0.8
- Expectancy
- +0.02R
- Trades needed
- about 5,300 to 7,500
- Strategy
- C: 40%, 1:2
- Expectancy
- +0.14R
- Trades needed
- about 300 to 425
- Strategy
- D: 30%, 1:3
- Expectancy
- +0.14R
- Trades needed
- about 465 to 660
| Strategy | Expectancy | Trades needed |
|---|---|---|
| A: 60%, 1:0.8 | +0.02R | about 5,300 to 7,500 |
| C: 40%, 1:2 | +0.14R | about 300 to 425 |
| D: 30%, 1:3 | +0.14R | about 465 to 660 |
DayTradingToolkit calculation using each strategy's known odds and 0.06R costs. Real logs are messier, so treat these as best-case counts.
The thin edge of strategy A is the lesson inside the table. A strategy that earns 0.02R a trade is real on paper, and you'd need thousands of trades to prove it to yourself. Nobody should build a plan on an edge they can't verify.
Sam checks his own record
Sam's practice log since Lesson 43 has 8 trades. All figures are hypothetical and in his paper account.
- Group
- Winners
- Trades
- 4
- Total
- +$390.28
- Group
- Losers within his rules
- Trades
- 3
- Total
- −$183.83
- Group
- CDEF (rules broken)
- Trades
- 1
- Total
- −$600.11
- Group
- All trades
- Trades
- 8
- Total
- −$393.66
| Group | Trades | Total |
|---|---|---|
| Winners | 4 | +$390.28 |
| Losers within his rules | 3 | −$183.83 |
| CDEF (rules broken) | 1 | −$600.11 |
| All trades | 8 | −$393.66 |
Hypothetical practice account.
Sam's planned expectancy at $60 risk (hypothetical)
His winners averaged $97.57, about 1.6R, and his rule-following losers averaged $61.28, about 1R. Those look like his plan.
Then look at what the 8 trades say about his odds. He won 4 of 8, a 50% win rate. With so few trades, a 95% confidence range for that win rate (DayTradingToolkit calculation) runs from about 22% to 78%, which covers his planned 40% and also every number far from it. His seven clean trades made +$206.45, about $29.49 a trade, three and a half times his planned $8.40. That's luck talking, and it says nothing about whether he's better than the plan.
CDEF is the other story. One trade lost −$600.11, about 10R. At his planned $8.40 a trade, it takes roughly 71 average trades to earn that back.
Two lessons for Sam. Eight trades say almost nothing about his real expectancy. And the fastest way to wreck any expectancy is a single loss far bigger than 1R.
His note: "Win rate is a feeling. Expectancy is a number. I need 100 trades before I believe mine." A hundred trades is a sensible first checkpoint (82% of strategy C traders were ahead by then, against 25% of strategy B). Confidence takes several hundred, so he'll call his number an early estimate until then.
Myth and fact
Myth and fact
Your turn
Calculate your expectancy (15 minutes, practice log)
Check your understanding
Check your understanding
A strategy wins 30% of the time, wins average 3R and losses average 1R. Ignoring costs, what's its expectancy?
(0.30 × 3) − (0.70 × 1) = 0.9 − 0.7 = +0.2R per trade.
Check your understanding
Why can't you just set a far target and keep your win rate the same?
Win rate and payoff pull against each other. A bigger target usually means fewer winners.
Check your understanding
A strategy advertises a 90% win rate with an average win of +0.3R and an average loss of −4R. What happens over many trades?
(0.90 × 0.3) − (0.10 × 4) = 0.27 − 0.40 = −0.13R per trade before costs. A 90% win rate needs wins that are big enough compared with the losses.
Key takeaways
- Win rate tells you how often you feel good. Expectancy tells you whether you get paid.
- Expectancy = (win rate × average win) − (loss rate × average loss) − costs.
- Measure results in R so trades of different sizes compare fairly.
- A closer target raises win rate and lowers payoff; only your log shows the real balance.
- Twenty trades prove very little and a hundred is a first checkpoint, so protect your expectancy by keeping every loss near 1R.
Frequently asked questions
What is a good win rate for day trading?
What is a good expectancy per trade?
Should I track win rate, profit factor or expectancy?
How can I improve my expectancy without changing my strategy?
Should I trust services that advertise very high win rates?
Does expectancy change over time?
Up next: is three trades really three trades?
On Monday, Sam's scanner shows three chip stocks setting up at once, each with a clean stop, a correct size and a 1:2 ratio. Three good trades, $60 of risk each. But all three moved on the same industry news. If the sector turns, do they lose separately, or all together? Lesson 57: Correlation Risk finds out.
Disclaimer
Article Sources
- CFTC: AI Won't Turn Trading Bots into Money Machines - Scammers claim trading algorithms can yield huge returns and "100 percent 'win' rates."cftc.gov
- FINRA Rule 2270: Day-Trading Risk Disclosure Statement - Be cautious of claims of large profits from day trading.finra.org
- DayTradingToolkit simulation (October 2026): five hypothetical strategies, 10,000 traders each, 20, 100 and 500 independent trades, costs of 0.06R per trade, fixed seed 56.
- DayTradingToolkit simulation (October 2026): strategy C (40% win rate, 1:2), 100,000 hypothetical traders, $60 risk, 0.06R costs, fixed seed 565656; dollar outcomes after 20, 100 and 500 trades.
- DayTradingToolkit calculations (October 2026): the 90% win rate example, Sam's win-rate confidence range (Wilson interval, 95%) and the trades-needed table (known odds, normal approximation).






