SPORTS BETTING MATH APPLIED PROBABILITY INSTITUTE
PROBABILITY SUITE // CLIENT-SIDE ENGINES

Tools & Calculators

Interactive mathematical tools and probability models for odds margin removal, positive expected value identification, and optimal staking simulation.

LIVE

No-Vig Fair Odds Calculator

Strip bookmaker margin (overround) to extract true implied probability across Multiplicative, Additive, Power, and Shin models.

Core Model: P_fair = (1 / O_i) / Σ(1 / O_k)
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LIVE

+EV Expected Value Calculator

Quantify betting edge and calculate expected monetary value per wager based on true probabilities and market odds.

Core Model: EV = (P_win × (Odds - 1)) - (P_loss × 1)
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LIVE

Kelly Criterion Simulator

Calculate optimal bet sizing using full, half, and quarter Kelly criterion to maximize geometric bankroll growth while minimizing drawdown.

Core Model: f* = (b × p - q) / b
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LIVE

Poisson Goal Model

Simulate football goal distributions, project 1X2 probabilities, Over/Under totals, and exact score matrices.

Core Model: P(X=k) = (λ^k · e^-λ) / k!
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LIVE

Parlay Margin Calculator

Quantify exponential bookmaker margin compounding across multi-leg accumulators, Same Game Parlays, and combined bets.

Core Model: M_parlay = 1 - Π(1 - Mᵢ)
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LIVE

Arbitrage & Surebet Calculator

Calculate mathematically guaranteed risk-free profits across 2-way and 3-way arbitrage opportunities with stealth rounding.

Core Model: L = Σ(1/Oᵢ) < 1.00
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LIVE

Asian Handicap Calculator

Calculate payouts, half-wins, half-losses, and push refunds across all quarter, half, and whole Asian handicap lines.

Core Model: H_split = (H - 0.25, H + 0.25)
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LIVE

Hedge Bet & Cashout Calculator

Calculate optimal mathematical hedge stakes to lock guaranteed profits or free-rolls and audit bookmaker cashout fee penalties.

Core Model: S_hedge = (S₁ · O₁) / O_hedge
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LIVE

Free Bet & Matched Betting Calculator

Maximize guaranteed cash extraction for SNR and SR free bets and simulate sportsbook bonus unlocking models.

Core Model: S_hedge = F · (O_A - 1) / O_B
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