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The Three-Step Betting Process

A systematic approach to Poisson-based betting

The 3-Step Process for Poisson Betting Decisions

To use Poisson profitably, your job is not to memorize formulas. Your job is to build a repeatable process that turns a projection (λ) into an EV decision.

Key Insight

The edge usually comes from λ, not from Excel—books can run POISSON.DIST too. Your advantage is in estimating λ better than the market.

The Three Steps

Step 1: Estimate λ (The Expected Count)

Start with a baseline average, then adjust for:

  • Matchup — Is the opponent weak or strong against this stat?
  • Opportunity — Any changes to role, snap count, or usage?
  • Game environment — Weather, pace, spread implications?

Example λ Estimation:

Base λ (season average):     0.75 TDs/game
× Recent form multiplier:    1.05 (hot streak)
× Matchup adjustment:        1.15 (weak defense)
× Game script adjustment:    1.10 (team favored)
= Final λ:                   0.99 TDs/game

Step 2: Convert λ Into Probability

Use POISSON.DIST in Excel to calculate exact, under, or over probabilities:

Under a Half-Point Line

P(Under 0.5) = P(X = 0)
Excel: =POISSON.DIST(0, λ, TRUE)

Over a Half-Point Line

P(Over 0.5) = P(X ≥ 1)
Excel: =1 - POISSON.DIST(0, λ, TRUE)

Over Higher Lines (e.g., 7.5)

P(Over 7.5) = P(X ≥ 8)
Excel: =1 - POISSON.DIST(7, λ, TRUE)

Step 3: Compare to Market Implied Probability

Calculate the market's implied probability from the odds, then compare to your probability.

Converting American Odds to Implied Probability:

Odds TypeFormula
Negative odds (e.g., -150)150 / (150 + 100) = 60.0%
Positive odds (e.g., +120)100 / (120 + 100) = 45.5%

If your probability > market implied probability + vig margin, you have a candidate bet.

Putting It All Together: A Framework

Here's the complete decision framework in one view:

┌─────────────────────────────────────────────────────────┐
│                 POISSON BETTING FRAMEWORK               │
├─────────────────────────────────────────────────────────┤
│                                                         │
│  STEP 1: ESTIMATE λ                                     │
│  ┌───────────────────────────────────────────────────┐  │
│  │ Base Rate × Recent Form × Matchup × Game Script   │  │
│  └───────────────────────────────────────────────────┘  │
│                          ↓                              │
│  STEP 2: CALCULATE PROBABILITY                          │
│  ┌───────────────────────────────────────────────────┐  │
│  │ Excel: =1-POISSON.DIST(threshold, λ, TRUE)        │  │
│  └───────────────────────────────────────────────────┘  │
│                          ↓                              │
│  STEP 3: COMPARE TO MARKET                              │
│  ┌───────────────────────────────────────────────────┐  │
│  │ Your P(Over) vs. Market Implied → Edge?           │  │
│  └───────────────────────────────────────────────────┘  │
│                          ↓                              │
│  DECISION: Edge > Vig? → BET | Edge < Vig? → PASS      │
│                                                         │
└─────────────────────────────────────────────────────────┘

Quick Reference: Common Calculations

Line TypeWhat You're BettingExcel for P(Over)Excel for P(Under)
Over/Under 0.51+ events vs 0 events=1-POISSON.DIST(0,λ,TRUE)=POISSON.DIST(0,λ,TRUE)
Over/Under 1.52+ events vs 0-1 events=1-POISSON.DIST(1,λ,TRUE)=POISSON.DIST(1,λ,TRUE)
Over/Under 2.53+ events vs 0-2 events=1-POISSON.DIST(2,λ,TRUE)=POISSON.DIST(2,λ,TRUE)
Over/Under 7.58+ events vs 0-7 events=1-POISSON.DIST(7,λ,TRUE)=POISSON.DIST(7,λ,TRUE)

The λ Adjustment Template

Build this template for every prop you analyze:

FactorMultiplierNotes
Base λ (season average)Starting point
Recent form0.90–1.10Last 5-10 games vs. season
Matchup adjustment0.85–1.15Opponent strength at defending this stat
Game script adjustment0.90–1.10Blowout risk, pace implications
Opportunity adjustment0.80–1.20Role changes, injury to teammates
Final λBase × All multipliersYour projection

Warning

Don't stack too many large adjustments. If you're multiplying 1.15 × 1.10 × 1.10, you're projecting a 39% increase—make sure that's justified by real factors, not wishful thinking.

Try the Calculator

Use this Poisson calculator to practice the 3-step process:

Poisson Calculator

Try the interactive calculator for this concept

Open Tool

📝 Exercise

Instructions

Apply the 3-step process to evaluate a prop bet.

You estimate a receiver's λ = 0.70 TDs/game. The market offers Over 0.5 TDs at -140. What's your P(Over) and is there an edge?

A pitcher has λ = 7.2 strikeouts. You adjust for a weak-hitting opponent (+10%) and recent hot streak (+5%). What's your adjusted λ?

At -110 odds, what's the break-even win rate (implied probability)?