Back to Basic Probability and Expected Value
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Putting It All Together

Combining probability and EV concepts

Putting It All Together: EV in Practice

You now understand the fundamental concepts that separate winning bettors from losing ones:

  • ✅ What probability means in betting
  • ✅ How to convert odds to break-even percentages
  • ✅ How to calculate Expected Value
  • ✅ Why win rate and ROI are different
  • ✅ How vig works against you

Now let's put it all together with a complete workflow and practical exercises.

The Complete EV Analysis Workflow

Every time you evaluate a bet, follow these steps:

Step 1: Convert Odds to Break-Even %

Negative Odds

|odds| / (|odds| + 100)
Excel: =ABS(A2)/(ABS(A2)+100)

Positive Odds

100 / (odds + 100)
Excel: =100/(A2+100)

Step 2: Estimate Your Probability

Ask yourself: "If this exact situation played out 100 times, how many times would this outcome occur?"

Use:

  • Historical data
  • Your model's projection
  • Contextual adjustments (injuries, weather, matchups)

Step 3: Calculate Your Edge

Edge = Your Probability - Break-Even Probability
  • If Edge > 0: Potential +EV bet
  • If Edge ≤ 0: Pass

Step 4: Calculate Expected Value

Expected Value

EV = p × win_profit - (1 - p) × risk
Excel: =(p*win_profit)-((1-p)*risk)

Step 5: Decide

  • +EV with sufficient edge: Bet (size according to bankroll management)
  • +EV with tiny edge: Consider passing (edge may not survive variance)
  • -EV: Always pass

Real-World Example: Complete Analysis

Prop: Jayson Tatum Over 26.5 Points
Odds: -115
Your Model's Projection: 28.2 points (58% chance of going over)

Step 1: Break-Even

Break-even = 115 / (115 + 100) = 115 / 215 = 53.49%

Step 2: Your Estimate

Your model says 58% chance of Over.

Step 3: Edge

Edge = 58% - 53.49% = 4.51 percentage points

Step 4: EV Calculation

At -115: Risk $115 to win $100

EV = 0.58 × $100 - 0.42 × $115
EV = $58 - $48.30
EV = +$9.70 per $115 risked

ROI = $9.70 / $115 = 8.4%

Step 5: Decision

Bet. This is a strong +EV opportunity with a 4.5+ percentage point edge and 8.4% ROI.

Key Insight

This workflow takes about 30 seconds once you've practiced it. The goal is to make EV analysis automatic—you should never place a bet without knowing your edge.

Quick Self-Check Quiz

Before moving on, make sure you can answer these instantly:

  1. What is the break-even win rate at -110?
  2. If your model says a prop hits 57% but the odds imply 53%, is it +EV?
  3. Why is a 60% win rate on -200 favorites actually losing money?

Building Your EV Tracking System

Create a spreadsheet with these columns to track every bet:

ColumnPurpose
DateWhen you placed the bet
PropDescription of the bet
OddsAmerican odds
Break-Even %Calculated from odds
Your Estimate %Your probability estimate
Edge %Your Estimate - Break-Even
Risk ($)Amount wagered
To Win ($)Potential profit
ResultW or L
Profit/LossActual outcome
Running Win %Cumulative win rate
Running ROICumulative return on investment

Tip

Track every bet for at least 100 bets. You'll start to see patterns: which prop types have better ROI, where your estimates are most accurate, and whether your edge is real or imagined.

Use the EV Calculator

Put your knowledge into practice:

Expected Value Calculator

Try the interactive calculator for this concept

Open Tool

Moving Forward

You now have the tools to think clearly about betting. You can look at a prop, calculate the break-even rate, estimate your probability, and decide whether it's +EV—all in about 30 seconds.

That's the skill that matters. Not picking winners. Not having hot streaks. But consistently identifying +EV bets and having the discipline to only bet those.

Note

In the next chapter, we'll build on this foundation by introducing bankroll management—the system that ensures you survive long enough for your edge to manifest. Because finding +EV bets is only half the battle. The other half is betting the right amount.


📝 Exercise

Instructions

Complete these comprehensive exercises to solidify your understanding of probability and EV.

Damian Lillard Points: Over 28.5 (-115) / Under 28.5 (-115). What is the total market vig?

You want to bet Luka Doncic Over 32.5 points. DraftKings offers -118, Caesars offers -108. If you bet $100 and win, how much more profit do you make at Caesars?

Your model projects a player at 55% to go Over. The odds are -130 (break-even 56.5%). What should you do?

You make 200 bets with an average EV of +$4 per bet. What is your expected total profit?