Mathematical ToolGLI-19 Analytical Standard
Online Casino Bonus True Expected Value (EV) Calculator
Calculate the exact mathematical profitability of casino welcome bonuses, free spins, and deposit matches. Expose hidden playthrough costs, break-even wagering thresholds, and estimated bust risks before depositing.
Load Common Bonus Scenarios
Bonus & Wagering Parameters
Step 1: Input Terms$
$
35x
10x (Easy)35x (Standard)60x+ (Severe)
96.50%
92.0%96.5% (Avg Slot)99.0%
%
100% for Slots ⢠10%ā20% for Table Games$
Check casino max-bet rules (typically $5.00)Mathematical OutputRECREATIONAL -EV
Net Expected Value (EV)
-$22.5
-22.5% ROI on DepositFair Recreational Cost
Moderate negative expected value. Provides extended playtime but statistically costs more than the bonus credit.
Total Playthrough Required$3,500
Theoretical House Edge Drain-$122.5
Break-Even Wagering Cap28.6x
Estimated Total Spins (@ $1)3,500 spins
Bust-Before-Wager Risk~9.1%
Deterministic Law of Large Numbers (lim Nāā XĢ = μ)
Optimal Mathematical Execution
Audited Low-Variance Slots for Bonus Wagering Clearance
Doom of Egypt RespinPlay'n GO ⢠Medium-Low Volatility
97.90%
Forge of Olympus RespinPragmatic Play ⢠Medium-High Volatility
97.90%
Fruit Super Nova RespinEvoplay ⢠Medium-High Volatility
97.90%
Golden DinopolisPush Gaming ⢠Low Volatility
97.90%
Golden House of DoomPlay'n GO ⢠Medium Volatility
97.90%
Golden Sugar RushPragmatic Play ⢠Low Volatility
97.90%
Bonus Mathematics Knowledge Base