> For the complete documentation index, see [llms.txt](https://arbsvsodds.gitbook.io/avo-documentation/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://arbsvsodds.gitbook.io/avo-documentation/positive-ev-mathematical-example.md).
# Positive EV Mathematical Example
Let's consider a mathematical example:
**Step 1: Understanding the Odds**
Suppose a sportsbook offers odds of +200 for Team A to win a match. This means for every $100 you bet, you could win $200 in profit. According to your analysis (or AVO's suggestions), the actual probability of Team A winning is 40% (implied odds of +150). Since the implied probability of +200 odds is only 33.3%, this bet offers positive expected value.
**Step 2: Calculating Expected Value**
The formula for calculating EV is:
In this case:
* Probability of Win = 40% = 0.40
* Profit per Win = $200
* Probability of Loss = 60% = 0.60
* Amount Lost = $100
**Step 3: Interpretation**
This positive EV of +20 means that, on average, you can expect a $20 profit per $100 bet if you were to place this wager repeatedly over time.
**Step 4: Automating with AVO**
AVO identifies such opportunities in real-time, ensuring you don’t miss profitable bets. By leveraging AVO's advanced tools, you can focus on executing high-value bets swiftly while minimizing manual calculations.
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