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Implied probability is the likelihood of an outcome occurring according to the odds being offered by a bookmaker, betting exchange, or prediction market. Rather than displaying a potential return, implied probability expresses that same information as a percentage.
For example, decimal odds of 2.00 imply a 50% chance of an event occurring, while odds of 4.00 imply a 25% chance. The higher the implied probability, the more likely the market considers an outcome to be.
Although betting sites usually display odds rather than probabilities, the two are directly connected. Every odds format, including decimal, fractional, American, Hong Kong, Malaysian, and Indonesian odds, can be converted into an implied probability.
Understanding implied probability can help bettors compare prices, evaluate betting opportunities, and better understand how bookmakers and betting markets assess sporting events.
The simplest way to calculate implied probability is to convert decimal odds into a percentage using the following formula:
Implied Probability = (1 ÷ Decimal Odds) × 100
Examples:
While the formulas differ between decimal, fractional, American, Hong Kong, Malaysian, and Indonesian odds, they all express the same underlying concept: the market’s assessment of how likely an outcome is to occur.
Implied probability helps translate betting odds into percentages, making it easier to understand how a bookmaker, betting exchange, or prediction market is pricing an outcome.
Implied probability is also central to the concept of value betting. If a bookmaker offers odds that imply a 40% chance of an outcome occurring, but you believe the true probability is closer to 50%, the bet may offer value because your estimated probability is higher than the implied probability.
Conversely, if you believe the true probability is lower than the implied probability, the bet may not represent a favourable opportunity.
It is important to remember that implied probability does not necessarily represent the true likelihood of an event occurring. Bookmakers build a profit margin into their odds, meaning the combined implied probabilities across all outcomes will typically exceed 100%. As a result, bookmaker odds generally imply lower returns than a perfectly fair market.
One important limitation of implied probability is that bookmaker odds are not usually based on a perfectly fair market. Instead, bookmakers build a profit margin into their prices, often referred to as the overround.
In a perfectly fair two-outcome market, the implied probabilities would add up to exactly 100%. For example:
In reality, bookmakers typically shorten their odds slightly to create a margin. This causes the combined implied probabilities to exceed 100%.
For example:
In this example, the additional 4% represents the bookmaker’s margin. The higher the overround, the more difficult it generally becomes for bettors to achieve long-term profitability.
This is one reason why many experienced bettors compare prices across multiple bookmakers, use betting exchanges, or seek out lower-margin sportsbooks. Even small differences in overround can have a significant impact on long-term returns.
When using implied probability, it is therefore important to remember that bookmaker prices do not necessarily reflect the true probability of an event occurring. They reflect the bookmaker’s assessment of that probability plus a built-in margin designed to generate profit.
Implied probability is one of the most important concepts in betting because it allows odds from different formats and markets to be compared using a common percentage-based approach.
Key points to remember:
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