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Implied Probability
50.00%
To Win $100
$100.00
Required Wager
Position Sizing
$200.00
Profit: $100.00
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About

In high-frequency sports trading and arbitrage, milliseconds matter. This tool is engineered for professional handicappers who operate across global markets. It eliminates the friction of mental math by normalizing disparate pricing models - American Moneyline, European Decimal, UK Fractional, and Asian formats (Hong Kong, Indonesian, Malay) - into a single, actionable risk profile.

Accuracy is paramount when calculating Expected Value (EV). A rounding error of 0.01 in decimal odds can significantly skew long-term ROI projections. This engine uses double-precision floating-point logic to ensure exact conversions. Furthermore, it visualizes the Implied Probability required to break even, acting as a reality check against your own predictive models. If the market implies a 60% win rate but your model predicts 55%, the calculator instantly flags the negative variance.

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Formulas

The foundation of all betting mathematics is the conversion to a probability percentage. Once normalized, any format can be derived. The base unit for calculation is Decimal (d).

1. Implied Probability (P):

P = 1d

2. American (a) to Decimal (d):

{
d = 1 + a100 if a 0d = 1 + 100|a| if a < 0

3. Indonesian (i) to Decimal:

Indonesian odds are simply American odds divided by 100.

d = convert_american(i × 100)

4. Malay (m) to Decimal:

{
d = m + 1 if m > 0d = 1 1m if m < 0

Reference Data

ProbabilityDecimal (EU)American (US)Fractional (UK)Hong KongIndonesianMalay
90.91%1.10-10001100.10-10.000.10
75.00%1.33-300130.33-3.000.33
66.67%1.50-200120.50-2.000.50
52.38%1.91-11010110.91-1.100.91
50.00%2.00+100111.001.001.00
40.00%2.50+150321.501.50-0.67
33.33%3.00+200212.002.00-0.50
20.00%5.00+400414.004.00-0.25
9.09%11.00+100010110.0010.00-0.10

Frequently Asked Questions

Hong Kong odds represent only the *profit* relative to the stake, whereas Standard Decimal (European) odds represent the *total return* (Profit + Stake). Mathematically: Decimal = HK + 1. For example, HK 0.90 is equal to Decimal 1.90.
Malay odds are unique. A positive Malay number (e.g., 0.85) means "Underdog" (Bet 1 unit to win 0.85). A negative Malay number (e.g., -0.90) denotes a "Favorite" and represents how much you must bet to win 1 unit. Conversely, American negative odds represent how much you bet to win 100.
To find the true probability without the bookmaker's fee, you must remove the vigorish. This requires the odds for *both* sides of the market (e.g., Over and Under). You sum the implied probabilities of both outcomes, which will exceed 100%. You then divide the individual implied probability by this sum to get the "Fair Probability" and convert that back to odds.
Indonesian odds are essentially American odds divided by 100. If the American line is -110, the Indonesian line is -1.10. If American is +250, Indonesian is 2.50. It simplifies the American system into a unit-based metric.