How I Lose Money

Balance: $100.00

Choose Game:

Math Behind the Game

Let X be the net gain per round. We’re interested in:

Expected Value (Mean):
    E[X] = Σᵢ (xᵢ × P(xᵢ))

Standard Deviation (SD):
    SD[X] = sqrt( Σᵢ ((xᵢ – E[X])² × P(xᵢ)) )

Standard Error of the Mean (SEM):
    SEM = SD / sqrt(n)

These are estimated from sample data in Auto Play using:
    - Sample Mean = (1/n) × Σᵢ xᵢ
    - Sample SD = sqrt( (1/n) × Σᵢ (xᵢ – mean)² )
    - SEM = Sample SD / sqrt(n)

—in the dice game (fair):
    Win chance = 1/6  
    Payout = 6× bet (net +5×)  
    E[X] = (1/6) × (+5β) + (5/6) × (–β) = 0

—in the coin flip (fair):
    Win chance = 1/2  
    Payout = 2× bet (net +1×)  
    E[X] = (1/2) × (+β) + (1/2) × (–β) = 0

Check “Enable House Edge” to simulate a slight casino advantage.