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Calculate American Odds From Probability

American Odds Formula:

\[ \text{odds} = \begin{cases} -\frac{100}{p} & \text{if } p > 0.5 \\ \frac{1 - p}{p} \times 100 & \text{if } p \leq 0.5 \end{cases} \]

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1. What is American Odds?

American odds (moneyline odds) are a way of expressing probability in sports betting. Positive odds show how much profit you'd make on a $100 bet, while negative odds show how much you need to bet to win $100.

2. How Does the Calculator Work?

The calculator uses the American odds formula:

\[ \text{odds} = \begin{cases} -\frac{100}{p} & \text{if } p > 0.5 \\ \frac{1 - p}{p} \times 100 & \text{if } p \leq 0.5 \end{cases} \]

Where:

Explanation: The formula converts probability to the American odds format used by bookmakers.

3. Importance of Odds Calculation

Details: Converting probability to odds helps bettors compare their assessment of likelihood with bookmakers' odds to find value bets.

4. Using the Calculator

Tips: Enter probability as a decimal between 0 and 1 (e.g., 0.75 for 75%). The calculator will return the corresponding American odds.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between positive and negative odds?
A: Positive odds show potential profit on a $100 bet, negative odds show how much you need to bet to win $100.

Q2: How do I convert odds back to probability?
A: For positive odds (+X): p = 100/(X + 100). For negative odds (-Y): p = Y/(Y + 100).

Q3: What does +200 odds mean?
A: +200 means a $100 bet would win $200 (plus your $100 stake back).

Q4: What does -150 odds mean?
A: -150 means you need to bet $150 to win $100 (plus your $150 stake back).

Q5: Why do bookmakers use odds instead of probabilities?
A: Odds format makes it easier to quickly understand potential payouts and compare different bets.

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