Expected Value (EV) Calculator

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EV Calculator

Expected Value (EV) Calculator

Calculate whether your bet is profitable in the long run based on probability and payouts.




Your Expected Value: –

About EV Calculator
This educational tool demonstrates expected value calculations for theoretical betting scenarios. Designed to teach mathematical decision-making concepts without any connection to real gambling activities or financial advice.

How It Works

  1. Input probability of winning (0-100%)
  2. Enter potential payout amount
  3. Add theoretical stake amount
  4. Calculates long-term expected value
  5. Shows profit/loss assessment

Legal Disclaimer
By using this calculator, you agree:

  1. Purely academic/entertainment purpose
  2. No real-money gambling association
  3. Prohibited for financial decisions
  4. Users must be 18+ years old
  5. Does NOT predict actual outcomes
  6. We oppose all gambling activities
  7. Results are mathematical models
  8. Compliance with all gaming laws

Calculation Methodology
Core Formula:
EV = (Win% × Payout) - (Lose% × Stake)

Where:

  • Win% = Input Probability ÷ 100
  • Lose% = 1 - Win%

Educational Value

  • Teaches expected value concepts
  • Demonstrates risk/reward analysis
  • Shows probability-weighted outcomes
  • Illustrates long-term thinking
  • Explains mathematical advantage

Strict Prohibitions
ANY association with:

  • Real-money gambling
  • Investment decisions
  • Betting strategy development
  • Underage usage
  • Financial planning

Technical Specifications

  • Handles decimal inputs
  • Validates probability range
  • Mobile-responsive design
  • Instant calculations
  • No data retention

Analysis Limits

  • Ignores variance (short-term swings)
  • Static probability assumption
  • No compounding effects
  • Single-event focus
  • Simplified binary outcomes

Mathematical Guide:

  • Positive EV (+): Long-term profitable
  • Negative EV (-): Long-term losing
  • Break-even (0): No mathematical edge

Example Calculation:
50% Win Chance | 200Payout∣200Payout∣100 Stake
EV = (0.5×200) - (0.5×100) = 50Interpretation:+50Interpretation:+50 expected value per trial

Key Assumptions:

  • Independent identical events
  • Accurate probability estimates
  • Fixed payout/stake amounts
  • No transaction costs
  • Infinite trials