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COURSE 03

Betting Odds Explained: Understanding Value

Decode all odds formats, calculate implied probability, identify value bets, understand bookmaker margins, and master the mathematical foundation that separates profitable bettors from the rest.

Reading Time 20 Minutes
Difficulty Foundation
Category Strategic Level

What Are Betting Odds?

Odds are the numerical representation of how likely an event is to happen and how much you'll win if your prediction is correct. They serve two critical purposes: they indicate probability, and they determine your potential return.

Understanding odds is absolutely fundamental to successful betting. Without this knowledge, you're betting blind—unable to assess value, calculate expected returns, or make informed decisions. This isn't optional knowledge; it's the mathematical foundation of everything in betting.

The Core Principle: Odds reflect the bookmaker's assessment of probability combined with their profit margin. Lower odds mean higher probability (according to the bookmaker), while higher odds indicate lower probability. Your job is to find situations where the bookmaker has mispriced the true probability.

There are three main odds formats used globally: Decimal (European), Fractional (UK), and American (Moneyline). While they look different, they all represent the same underlying probability and payout. We'll master each format and learn to convert between them.

Decimal Odds: The Universal Standard

Decimal odds (also called European odds) are the most straightforward format and have become the global standard. They show the total return you'll receive for every unit staked, including your original stake.

Decimal Odds Calculation
Total Return = Stake × Decimal Odds
Your profit is: (Stake × Decimal Odds) - Stake

Understanding Decimal Odds

Odds of 2.00

Represents a 50% probability. Stake $100, get back $200 total (profit of $100). This is evens or even money— double your stake.

Odds Below 2.00

Favorites with higher than 50% probability. Odds of 1.50 = 66.7% probability. Lower odds = more likely to win but smaller returns.

Odds Above 2.00

Underdogs with lower than 50% probability. Odds of 3.00 = 33.3% probability. Higher odds = less likely to win but bigger returns.
Decimal Odds Examples

Example 1: Favorite

Manchester City to beat Brighton at 1.50 odds

Stake: $50

Total Return: $50 × 1.50 = $75

Profit: $75 - $50 = $25


Example 2: Even Money

Draw between two evenly matched teams at 2.00 odds

Stake: $50

Total Return: $50 × 2.00 = $100

Profit: $100 - $50 = $50


Example 3: Underdog

Underdog to win at 4.50 odds

Stake: $50

Total Return: $50 × 4.50 = $225

Profit: $225 - $50 = $175

Why Decimal Odds Are Best

  • Simple Calculation: Just multiply stake by odds—no complex math required
  • Easy Comparison: Instantly see which odds are better by comparing numbers
  • Accumulator Friendly: Multiply odds together for accumulator calculations
  • Universal Understanding: Used worldwide, making international betting straightforward
  • Includes Stake: Shows total return, making profit calculations transparent

Fractional Odds: Traditional UK Format

Fractional odds (also called British or UK odds) show your potential profit relative to your stake. They're written as fractions like 5/1 or 2/5, representing profit/stake ratio. While traditional, they're less intuitive than decimal odds but still common in UK betting.

Fractional Odds Calculation
Profit = Stake × (Numerator / Denominator)
Total Return = Stake + Profit

Reading Fractional Odds

Fractional Odds Examples

5/1 (five to one)

For every $1 staked, you win $5 profit

Stake $10 → Profit $50 → Total Return $60


2/1 (two to one)

For every $1 staked, you win $2 profit

Stake $10 → Profit $20 → Total Return $30


1/2 (one to two)

For every $2 staked, you win $1 profit

Stake $10 → Profit $5 → Total Return $15


Evens (1/1)

For every $1 staked, you win $1 profit

Stake $10 → Profit $10 → Total Return $20

Converting Fractional to Decimal

Conversion Formula
Decimal Odds = (Numerator / Denominator) + 1
The "+1" accounts for your stake being returned
Conversion Examples

5/1 fractional = (5 / 1) + 1 = 6.00 decimal

2/1 fractional = (2 / 1) + 1 = 3.00 decimal

1/2 fractional = (1 / 2) + 1 = 1.50 decimal

4/5 fractional = (4 / 5) + 1 = 1.80 decimal

10/3 fractional = (10 / 3) + 1 = 4.33 decimal

American Odds: The Moneyline Format

American odds (also called Moneyline odds) use positive and negative numbers relative to a $100 base stake. They're the standard in the United States but less common elsewhere. Understanding them is useful if you bet on American sports or use US-based bookmakers.

Positive American Odds

Positive numbers (e.g., +200, +350) show how much profit you'd make on a $100 stake. These represent underdogs.

Positive Odds Examples

+200 odds

Stake $100 → Profit $200 → Total Return $300

Equivalent to 3.00 decimal or 2/1 fractional


+350 odds

Stake $100 → Profit $350 → Total Return $450

Equivalent to 4.50 decimal or 7/2 fractional

Negative American Odds

Negative numbers (e.g., -150, -200) show how much you need to stake to win $100 profit. These represent favorites.

Negative Odds Examples

-150 odds

Stake $150 → Profit $100 → Total Return $250

Equivalent to 1.67 decimal or 2/3 fractional


-200 odds

Stake $200 → Profit $100 → Total Return $300

Equivalent to 1.50 decimal or 1/2 fractional

Converting American to Decimal

Positive Odds Conversion
Decimal = (American Odds / 100) + 1
Example: +200 = (200/100) + 1 = 3.00
Negative Odds Conversion
Decimal = (100 / Absolute Value) + 1
Example: -200 = (100/200) + 1 = 1.50

Implied Probability: The Hidden Truth

Implied probability is the probability of an outcome as suggested by the betting odds. This is crucial—it reveals what percentage chance the bookmaker (including their margin) believes an event has of occurring. Understanding implied probability is the key to identifying value bets.

Implied Probability Formula
Implied Probability (%) = (1 / Decimal Odds) × 100
This shows the probability percentage including bookmaker margin
Calculating Implied Probability

Odds of 2.00

Implied Probability = (1 / 2.00) × 100 = 50%


Odds of 1.50

Implied Probability = (1 / 1.50) × 100 = 66.67%


Odds of 3.00

Implied Probability = (1 / 3.00) × 100 = 33.33%


Odds of 5.00

Implied Probability = (1 / 5.00) × 100 = 20%

Quick Reference Table

Decimal Odds Fractional Odds American Odds Implied Probability
1.50 1/2 -200 66.67%
1.80 4/5 -125 55.56%
2.00 1/1 (Evens) +100 50.00%
2.50 6/4 +150 40.00%
3.00 2/1 +200 33.33%
4.00 3/1 +300 25.00%
5.00 4/1 +400 20.00%
10.00 9/1 +900 10.00%

Critical Understanding: If you believe an outcome has a higher probability of occurring than the implied probability suggests, you've found a value bet. This is the fundamental concept that drives long-term profitability.

Understanding Bookmaker Margin

The bookmaker margin (also called overround, vig, or juice) is the built-in profit margin that ensures bookmakers make money regardless of the outcome. It's created by offering odds that, when combined, result in implied probabilities totaling more than 100%.

How The Margin Works

Margin Calculation Example

Match: Team A vs Team B


Bookmaker's Odds:

Team A to win: 1.90 (52.63% implied probability)

Draw: 3.60 (27.78% implied probability)

Team B to win: 4.00 (25.00% implied probability)


Total Implied Probability:

52.63% + 27.78% + 25.00% = 105.41%


Bookmaker Margin:

105.41% - 100% = 5.41%


The bookmaker has a 5.41% margin built into these odds, guaranteeing long-term profit.

Why Margin Matters

  • Lower Margin = Better Value: Bookmakers with smaller margins (2-3%) offer better odds than those with large margins (8-10%)
  • Shop Around: Different bookmakers have different margins on the same events—always compare odds
  • Market Variation: Margins vary by market type—popular markets often have lower margins than obscure ones
  • Beating The Margin: To be profitable long-term, you must overcome the bookmaker's margin plus make additional profit

Important Reality: Even if you're a perfect predictor of outcomes, betting at odds with high margins reduces your profitability significantly. Always seek bookmakers with competitive margins (under 5% when possible).

Value Betting: The Path to Profit

Value betting is when the probability of an outcome is higher than what the odds suggest. This is the holy grail of betting—the only sustainable way to be profitable long-term. Finding and betting value consistently is what separates professional bettors from losing recreational bettors.

The Value Formula: A bet has value when: Your Estimated Probability > Bookmaker's Implied Probability. The greater the difference, the more value the bet has. Over hundreds of bets, value betting produces profit.

Identifying Value Bets

Value Bet Example

Scenario: Chelsea vs Arsenal match


Bookmaker's Odds for Chelsea Win: 2.50

Implied Probability: (1 / 2.50) × 100 = 40%


Your Analysis:

Based on form, injuries, tactics, and head-to-head, you assess Chelsea has a 50% chance to win


Value Assessment:

Your Probability (50%) > Implied Probability (40%)

This is a value bet!


Expected Value (EV):

EV = (Your Probability × Profit) - ((1 - Your Probability) × Stake)

EV = (0.50 × $150) - (0.50 × $100)

EV = $75 - $50 = +$25


This bet has positive expected value of +$25 per $100 staked.

Expected Value (EV) Calculation

Expected Value Formula
EV = (Probability of Win × Profit) - (Probability of Loss × Stake)
Positive EV means the bet is profitable long-term
EV Calculation Practice

Bet: Team to win at 3.00 odds

Stake: $100

Your Assessment: 40% chance to win


Calculation:

Win Probability: 40% (0.40)

Loss Probability: 60% (0.60)

Profit if Win: $200 (stake × 3.00 - stake)


EV = (0.40 × $200) - (0.60 × $100)

EV = $80 - $60 = +$20


Interpretation: This bet has an expected value of +$20, meaning over many repetitions, you'd expect to make $20 profit per $100 staked.

The Reality of Value Betting

  • Value Bets Still Lose: A bet with 60% win probability still loses 40% of the time—value doesn't guarantee wins
  • Long-Term Focus: Value reveals itself over hundreds or thousands of bets, not individual wagers
  • Discipline Required: You must consistently bet value even during losing streaks—trust the math
  • Honest Assessment: Overestimating your probabilities destroys value betting—be brutally honest in analysis
  • Edge is Small: Professional bettors often operate with just 3-10% edges—huge edges are rare

Common Mistake: Betting on favorites just because they're likely to win is not value betting. A favorite at 1.50 odds (66.67% implied) might have no value if their true probability is only 65%. The underdog at 3.00 odds might be the value bet if their true probability is 40% instead of the implied 33.33%.

Practical Application: Using Odds in Betting

Understanding odds theoretically is one thing—applying this knowledge practically is what makes you profitable. Here's how to use your odds knowledge in real betting situations:

Step-by-Step Betting Process

  • Step 1 - Analyze The Event: Research form, tactics, injuries, motivation, and all relevant factors
  • Step 2 - Estimate Probability: Based on your analysis, assess the true probability of each outcome
  • Step 3 - Compare to Odds: Calculate implied probability from bookmaker odds
  • Step 4 - Identify Value: Find situations where your probability exceeds the implied probability
  • Step 5 - Calculate EV: Determine the expected value to quantify the opportunity
  • Step 6 - Stake Appropriately: Use proper bankroll management based on confidence and edge
  • Step 7 - Track Results: Record everything to verify your probability assessments over time
Complete Real-World Example

Match: Liverpool vs Tottenham


Available Odds:

Liverpool Win: 1.70 (58.82% implied)

Draw: 3.80 (26.32% implied)

Tottenham Win: 5.00 (20.00% implied)


Your Analysis:

Liverpool at home, excellent form, Tottenham missing key defenders

Your assessment: Liverpool 65% chance, Draw 20%, Tottenham 15%


Value Identification:

Liverpool: Your 65% > Implied 58.82% = VALUE

Draw: Your 20% < Implied 26.32% = No value

Tottenham: Your 15% < Implied 20.00% = No value


Decision: Bet on Liverpool Win at 1.70


EV Calculation:

Stake: $100, Profit if win: $70

EV = (0.65 × $70) - (0.35 × $100) = $45.50 - $35 = +$10.50


This bet has positive expected value of $10.50 per $100 staked.

Key Takeaways: Master These Concepts

  • Odds represent probability and determine potential returns—understanding them is fundamental to betting
  • Decimal odds are the simplest format—multiply stake by odds for total return
  • Implied probability reveals what the bookmaker believes the chance is: (1 / Decimal Odds) × 100
  • Bookmaker margin is built into odds—lower margins mean better value for you
  • Value betting is when your estimated probability exceeds implied probability—this is the key to profit
  • Expected Value (EV) quantifies value—positive EV bets are profitable long-term
  • Value bets still lose regularly—trust the math over hundreds of bets, not single outcomes
  • Always compare odds across bookmakers—even small differences compound significantly
  • Honest probability assessment is crucial—overconfidence destroys value betting
  • Track every bet to verify your probability estimates and identify where you're strong or weak

Moving Forward With Odds

You now understand how odds work, what they represent, and most importantly, how to identify value. This knowledge is transformative—you can now look at odds and immediately calculate whether a bet offers value or not.

The next step is developing your ability to accurately assess probabilities. This comes from deep knowledge of your chosen sport, understanding tactics, analyzing form and data, and building experience over time. Your probability assessments will improve with every match you analyze and every bet you track.

Practice Exercise: For the next 10 matches you consider betting on, calculate implied probabilities from odds, make your own probability assessments, and identify which bets have value. Track the results. This practice is invaluable for developing your value betting skills.

Remember: professional bettors don't win because they pick more winners—they win because they consistently identify and bet value. Master odds, master probability assessment, and you're on the path to long-term profitability.