Decimal Odds Calculator

What Are Decimal Odds?

Decimal odds express how much a winning stake returns in total (stake plus profit). If decimal odds are $3.50$ and you stake $\$100$, a win pays $\$350$ gross and $\$250$ net profit.

Formulas

From chances for success $C_s$ and chances against success $C_{as}$:

$$\text{odds} = \frac{C_s + C_{as}}{C_s}$$

$$P(\text{win}) = \frac{C_s}{C_s + C_{as}}, \quad P(\text{lose}) = \frac{C_{as}}{C_s + C_{as}}$$

Gross return is $\text{stake} \times \text{odds}$. Net profit is gross return minus stake. Streak probabilities raise the single-event probability to the streak length.

How to Use This Calculator

Enter chances for and against success, an optional stake, and streak lengths. Read decimal odds, win/lose probabilities, returns, and streak probabilities. For fractional A:B odds conversion, see the Odds Probability Calculator.

Example

With $C_s = 3$ and $C_{as} = 7$, decimal odds equal $10/3 \approx 3.333$. Win probability is $30\%$ and lose probability is $70\%$. A $\$100$ stake returns about $\$333.33$ gross if the bet wins.

Related Tools

Explore related probability tools:

• Odds Probability Calculator
• Conditional Probability Calculator
• Coin Flip Streak Calculator