# 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:

<figure><img src="https://2993512561-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FVXGbtKVFAB0D3cebsJxd%2Fuploads%2FiryH3sxztHl2CH7cWqH2%2FEV%20formula.png?alt=media&#x26;token=200934fb-94b2-4b8e-970d-f9987773b56a" alt=""><figcaption></figcaption></figure>

In this case:

* Probability of Win = 40% = 0.40
* Profit per Win = $200
* Probability of Loss = 60% = 0.60
* Amount Lost = $100

<figure><img src="https://2993512561-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FVXGbtKVFAB0D3cebsJxd%2Fuploads%2FXL69RtVHiy0dQDZ6z5kq%2FEV%20Formula%202.png?alt=media&#x26;token=96bffeee-a159-4a54-ad95-555329422e85" alt="" width="375"><figcaption></figcaption></figure>

**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.