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Understanding Sports Betting Odds: American, Decimal, and Fractional

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Understanding Sports Betting Odds: American, Decimal, and Fractional

When it comes to sports betting, understanding the various types of odds is crucial for making informed bets. Whether you are a novice or a seasoned bettor, grasping the nuances of American, Decimal, and Fractional odds can enhance your betting experience and increase your winnings. Before diving into the specifics, let's explore the fundamental concepts of each type.

Sports betting odds refer to the measure of the probability of the occurrence of certain events during a sporting event. They also indicate the potential return on investment for a successful bet. These odds can be displayed in different formats, depending on the region and the preference of the bettor. The most common formats are American, Decimal, and Fractional odds.

If you want more detailed insights about sports betting, you can explore Parimatch bet. Now, let's delve into the three primary types of betting odds.

American Odds

American odds, also referred to as money line odds, are primarily used in the United States. They are presented in positive (+) and negative (-) formats. Positive odds indicate the potential profit on a $100 bet, while negative odds represent the amount you need to wager to win $100.

For example:

  • Positive Odds (+200): A $100 bet would yield a profit of $200, plus the initial $100 stake, totaling $300.

  • Negative Odds (-150): You would need to wager $150 to win a profit of $100, plus the initial $150 stake, totaling $250.

Decimal Odds

Decimal odds are the most straightforward to understand and are widely used in Europe, Canada, and Australia. They represent the total payout, including the initial stake, for every unit wagered. The formula for calculating the potential return is:

Potential Return = Stake x Decimal Odds

For instance, if you were placing a $100 bet on a team whose odds were 3.50, then this would be your potential return: $100 x 3.50 = $350.

Note that this includes your profit and your stake. 

Fractional Odds

Fractional odds are used in the UK and Ireland. They are expressed in the form of fractions; examples would be 5/1 or 2/5. Beginning from the left to the right of a fraction, it states a return and a stake, respectively.

For example:

  • 5/1 Odds: If you place a $100 wager, you will win $500 plus your stake of $100, totaling $600.

  • 2/5 Odds: You must bet $100 to win a profit of $40, plus the initial $100 stake, for $140.

Comparison Table

To better understand the differences among American, Decimal, and Fractional odds, refer to the table below:

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

Advantages and Disadvantages

American Odds

Advantages:

  • Widely used in the U.S., familiar to American bettors.

  • Easy to understand once you get the hang of it.

Disadvantages:

  • Can be confusing for beginners due to the positive and negative formats.

  • Less intuitive for calculating potential returns compared to Decimal odds.

Decimal Odds

Advantages:

  • Simplest to understand and calculate potential returns.

  • Widely used in international betting markets.

Disadvantages:

  • Less familiar to American bettors.

  • Requires conversion for those used to American or Fractional odds.

Fractional Odds

Advantages:

  • Traditional format with a long history in the UK and Ireland.

  • Easy to calculate potential profit.

Disadvantages:

  • Can be confusing for those unfamiliar with fractions.

  • Requires conversion for those used to Decimal or American odds.

Tips for Using Betting Odds

  1. Understand the Market: Different sports and regions use different odds formats. Familiarize yourself with the format used in your preferred betting market. Understanding these differences will enhance your betting strategy.

  2. Convert Odds: Use online calculators or conversion formulas to convert odds into your preferred format. This ensures you understand the potential returns and risks, allowing for more informed betting decisions.

  3. Consider the Implied Probability: Odds represent the implied probability of an outcome. Calculate this to assess whether a bet offers value. This approach helps identify profitable betting opportunities.

Additional Advices

  • Implied Probability Calculation: For American odds, positive odds' implied probability is 100 / (Odds + 100), and negative odds' implied probability is -Odds / (-Odds + 100).

  • Popular Betting Markets: Understanding regional preferences can help in choosing the right bookmaker.

  • Odds Conversion Tools: Many online betting platforms offer built-in tools for converting odds between formats.

Conclusion

Understanding the different types of sports betting odds – American, Decimal, and Fractional – is essential for making informed bets. Each format has its advantages and disadvantages, and the best choice depends on your familiarity and preference. By mastering these odds, you can better evaluate potential bets and enhance your overall betting experience. Additionally, learning to spot value bets and staying disciplined in your approach can significantly increase your chances of success. Continuously improving your knowledge and strategies will keep you ahead in the betting game. Happy betting!

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