Free tool

Betting variance simulator

Explore how a bankroll can move under the same betting assumptions. Compare simulated paths, drawdowns, and stake sizes to understand the range of outcomes.

What does this simulator calculate?

The betting variance simulator shows possible paths for your bankroll based on hit probability, average odds, stake, initial bankroll, and bet volume. It doesn't predict the future. It helps you visualize how much results can fluctuate in the short term, even in strategies with positive expected value.

Simulator

Set up the bankroll scenario

The default values use a bankroll of $1,000, 1% stake, odds of 2.00, estimated probability of 53%, 200 bets, and 1,000 simulations.

Stake per bet Simulate a fixed stake or a percentage recalculated on the bankroll.
Estimated EV per bet +6.00% EV = (estimated probability × decimal odds) − 1
Expected profit/loss +$122.22 Simulated average at the end of 200 bets
Probability of ending in profit 76.70% Simulations with final bankroll above the initial bankroll
Best simulated scenario $1,877.65 Maximum final balance found
Worst simulated scenario $733.44 Minimum final balance found
Average maximum drawdown 12.05% Average decline relative to the previous peak
Risk of ruin0.00% Bankroll hit the ruin limit or couldn't sustain the stake
Longest losing streak 15 Longest negative run across all simulated paths

Visualizations

Simulated bankroll evolution curves

Each line represents a possible path with 1% of bankroll, average odds of 2.00, and 53.00% estimated hit rate.

Final median$1,116.28+$116.28
P5-P95 range $878.1 - $1.4K bad to very good scenario
Average drawdown12.05%average maximum decline
Simulated bankroll evolution curves $1.5K $1.3K $1.1K $938.5 $743.4 initial bankroll P5 P50 P95 0 bets 200 bets
Simulated pathsInitial bankrollFinal P5, P50, and P95

Distribution

Final distribution of results

Higher bars show where most simulations ended up.

Initial bankroll
P50
$733.4$1K$1.9K

Pior final: $733.44. Melhor final: $1,877.65.

Likely range

Percentile table

P5 is a bad scenario, P50 is the median, and P95 is a very good scenario within the simulations.

P5$878.09-$121.91
P50$1,116.28+$116.28
P95$1,419.08+$419.08
PercentileFinal bankrollProfit/loss
P5 $878.09 -$121.91
P50 $1,116.28 +$116.28
P95 $1,419.08 +$419.08

Formulas used

EV = (estimated probability × decimal odds) − 1Profit when winning = stake × (odds − 1)Loss on a miss = stakeVariance = dispersion of results relative to the expected valueDrawdown = decline of the bankroll relative to the previous peak

The simulator generates random paths from your inputs. Compare those paths to see how variance affects bankroll, drawdown, and streaks under the same assumptions.

Example in Brazilian football

Imagine a strategy in Brasileirão games with an average odd of 2.05, an estimated probability of 52%, and a stake of 1% of the bankroll. The EV may be positive, but the simulation may show negative weeks, streaks of 6-10 reds, and temporary drawdowns. That does not prove the strategy is dead; it may be variance.

How to interpret the result

MetricWhat it meansHow to use it in practice
Estimated EVExpected value percentage of each bet based on the odd and probability provided.Use the calculated probabilities as a starting point, then explore the match statistics and context.
Probability of profitPercentage of simulations that ended above the initial bankroll.Compare stake and volume scenarios to understand the chance of ending positive.
DrawdownBankroll decline relative to the highest peak reached along the way.Helps measure whether you could withstand the fluctuation without abandoning the process.
Risk of ruinPercentage of simulations that hit the ruin stop or could no longer sustain the stake.Compare how changes in stake, volume, or average odd alter this percentage.
Losing streakLongest streak of lost bets found in the simulations.Shows why a rough patch can happen even with positive EV.
PercentilesLikely range of final results, such as P5, P50, and P95.Use it to see a bad, average, and very good scenario without fixating on the mean.

How to use this alongside Predora.si

On Predora.si, you can use Upcoming Games with EV+ to check scenarios sorted by EV, Performance to see Base, Hit Rate, and Return by league, and AI + Stats to compare the game context. The variance simulator helps you understand whether your stake and bankroll can withstand the normal fluctuation of the strategy.

Common mistakes

Thinking positive EV always wins in the short term.

Increasing stake after a loss.

Judging a strategy by 10 or 20 bets.

Ignoring drawdown.

Confusing a high hit rate with positive returns.

After simulating variance

Compare how stake, bankroll, EV, and volume change drawdown, risk of ruin, and the distribution of simulated results.

Explore Predora.si

FAQ about variance in betting

What is variance in betting?

Variance is the natural fluctuation between the expected result and the observed result in the short term. In betting, it explains why good decisions can lose in a row.

Can a strategy with positive EV go negative?

Yes. Positive EV improves the long-term expectation, but it does not prevent bad weeks, drawdowns, or streaks of reds.

How many bets do I need to simulate?

Use at least a few hundred to better see the distribution. Few bets show more noise than process.

What is risk of ruin?

It is the simulated chance of the bankroll hitting a defined loss limit or no longer sustaining the stake plan.

How does stake size affect variance?

With the same parameters, smaller stakes tend to produce smaller drawdowns, while larger stakes amplify the simulated dispersion and risk of ruin.

What can I learn from the variance simulator?

Explore how results can vary under the same inputs. Compare simulated paths, drawdowns, and streaks to understand the range of outcomes in your scenario.