Odds & Probability
Enter decimal odds and your estimated win probability.
Model optimal stake size from decimal odds, win probability, and total bankroll using the Kelly formula.
$45.45 (4.55%)
EV: +5.00% per unit staked
Pro Tip
Full Kelly maximizes long-run growth but increases drawdown variance — many bettors use half-Kelly (50% of the formula output) for smoother bankroll curves.
Enter decimal odds and your estimated win probability.
Set total bankroll to model absolute stake size.
Read recommended stake, EV %, and bankroll risk chart.
Interactive solver
Adjust the sandbox inputs — the formula and timeline update in real time.
Kasa Dağılımı — Kelly Kriteri
Önerilen risk payı vs korunan kasa rezervi
Toplam kasa: $1,000.00
Önerilen Bahis
$45.45 (4.55%)
Base formula: f^* = \frac{p(b - 1) - (1 - p)}{b - 1}
Three adjacent tools from the same workflow—open in a new tab mentally, same privacy model here.
The Kelly formula sizes bets to maximize logarithmic bankroll growth when you have an edge. It outputs the fraction of bankroll to risk: f* = (pb − 1) / (b − 1), where b is decimal odds and p is win probability.
When f* ≤ 0, the bet has no positive expected value at your stated probability — the model recommends passing.
Kelly assumes independent trials and accurate probability estimates. Real sports markets have correlation, line movement, and limits; use this tool as a quantitative baseline, not a guarantee.
Sports Betting Kelly Criterion Calculator is structured so you can move from inputs to defensible outputs without hunting for hidden options. Step 1 (“Odds & Probability”): Enter decimal odds and your estimated win probability. Step 2 (“Bankroll”): Set total bankroll to model absolute stake size. Step 3 (“Kelly Output”): Read recommended stake, EV %, and bankroll risk chart. Following that sequence reduces rounding drift: you lock the scenario first, then layer refinements (tax mode, compounding frequency, activity tier, or niche multiplier) only after baseline numbers look sensible. When you revisit a calculation weeks later, the same order of operations makes spreadsheets and screenshots easier to reconcile with what the UI showed.
Revisit Sports Betting Kelly Criterion Calculator whenever baseline assumptions shift—rates, calendars, population denominators, or hardware targets. The numbers you export today become the audit trail that makes tomorrow’s decision defensible to teammates, clients, or regulators reviewing your methodology.
Modern personal and business finance depends on transparent arithmetic: you must know whether a figure is inclusive or exclusive of tax, whether interest accrues daily or monthly, and which legal definition of “year” your lender uses (360-day vs 365-day conventions still appear in some markets). Across the European Union, VAT is a multi-stage credit-invoice tax: registered traders generally recover VAT on inputs while charging VAT on outputs, and headline rates do not tell the whole story because reduced rates and exemptions apply to essentials such as food, books, or medical supplies in many jurisdictions. In the United States, sales tax is typically levied only at retail, while other regions blend excise duties and digital-service rules that change with little warning. Our calculators model the mathematics you specify—nothing more—so you can stress-test invoices, quotes, and amortization schedules before they reach an accountant or tax adviser. When results inform contracts, payroll, or statutory filings, corroborate them against official guidance from your national revenue authority and keep an audit trail of the rates and dates you used.
Tax and interest outcomes depend on statutes, treaties, and lender disclosures that change by country and year. PureUnits illustrates the arithmetic of rates and cash flows you enter; it does not provide legal or tax advice. Before filing or signing, validate against official tables and a qualified professional.
Seasoned users pair the in-app insight—“Full Kelly maximizes long-run growth but increases drawdown variance — many bettors use half-Kelly (50% of the formula output) for smoother bankroll curves.”—with external checks specific to their industry. For Sports Betting Kelly Criterion Calculator, treat that guidance as a hypothesis: note the assumption, measure the delta against real-world data you trust, and update defaults when your own history disagrees with generic benchmarks. Documenting those adjustments is what turns a quick answer into a repeatable workflow your team can audit.
Positive Kelly means +EV at your inputs. Many professionals scale down to half-Kelly or quarter-Kelly to reduce volatility while keeping most of the growth benefit.
This calculator uses decimal odds (e.g. 2.10). Convert American +110 to decimal 2.10 before entering.
When implied probability from the odds exceeds your win estimate, expected value is negative and Kelly fraction is zero or negative.
Interactive Finance calculators with live sandboxes — explore more without leaving your workflow.