Bayesian Analysis of the Karen Read Case
Post-Verdict Analysis
This page explains the Karen Read case using Bayesian logic—a way of updating our beliefs as new evidence comes in. Think of it like detective thinking: start with what you believe, and change your mind a little or a lot depending on the clues.
🤔 What Are We Trying to Figure Out?
Who (or what) caused John O'Keefe's death?
We consider three main possibilities:
- H1 (Prosecution Story): Karen Read hit John with her SUV and left him outside.
- H2 (Defense Story): John was hurt or killed inside the house and Karen didn't do it.
- H3 (Mixed Scenario): Maybe something in between happened—maybe Karen hit him accidentally, or someone else was involved and evidence was changed or hidden.
🎲 What Is Bayesian Thinking?
Imagine you're guessing who stole a cookie. You might first guess your little brother (because he does it often), but then you see your dad has chocolate on his shirt! That's a clue. So you update your guess.
Bayesian thinking works like this:
- Start with what you think is likely (prior belief)
- Get a new clue (evidence)
- Update your belief based on how well each explanation fits the clue
1. Start with a Prior
We looked at how often people are hurt by their partners. That's not super common when there's no history of violence.
Chance Karen did it (H1)
Prior probability
Chance someone else did it (H2)
Prior probability
Chance of mixed scenario (H3)
Prior probability
Adjust the sliders to set your priors:
Total must equal 100%. If it doesn't, values will be scaled automatically.
2. Evaluate the Evidence
Here's how each piece of evidence fits with each story:
Clue | Fits H1 (Karen)? | Fits H2 (Others)? | Fits H3 (Mixed)? | Comments |
---|---|---|---|---|
Body found on lawn | Could have been moved | |||
No blood in her car | No crash signs inside car | |||
Injuries don't match car hit | Injuries match falling or being hit, not run over | |||
Tail light pieces near body | Some think they were planted | |||
Phone tracked inside house | His phone was still in the house after Karen left | |||
Police video gaps | Raises suspicion | |||
Police story changes | Defense says there's a cover-up | |||
Karen was emotional | Could mean guilt or confusion | |||
New timeline in 2nd trial | Supports idea that he was hurt inside, not outside |
3. What If It's Partially True? (H3)
Real life isn't always clear-cut. What if:
- Karen bumped him by accident but wasn't fully responsible?
- Or someone else hurt him, and people covered it up later?
These ideas blend parts of both H1 and H2. That's H3, the "middle-ground" theory.
4. What Happens When We Add It All Up?
Adjust how strongly the evidence supports each scenario. The sliders let you weigh different pieces of evidence:
How to interpret the weights: ⓘ
- 0–1×: Weak evidence
- 5–7×: Strong evidence
- 10×: Very strong/conclusive
- Values in between represent varying degrees of support
Show an Example: Numeric Walkthrough
- Prior odds for H1:H2 = 20:80 = 0.25
- Likelihood ratio = 80/40 = 2
- Posterior odds = 0.25 × 2 = 0.5
- Posterior probability for H1 = 0.5 / (0.5 + 1) = 33%
As you adjust the sliders, the chart below will update to show how different weightings of the evidence affect the probabilities of each scenario, given your initial belief set above (your priors).
H1: Karen did it
likelyhood given evidence
H2: Someone else did it
likelyhood given evidence
H3: Mixed scenario
likelyhood given evidence
🎯 What Should the Jury Think?
The jury isn't being asked, "Did Karen do it?" They're being asked: "Are you sure—beyond a reasonable doubt—that she did?"
Bayesian answer: No. Even if H1 is possible, it's the least supported explanation. H2 and H3 together account for 90% of the likely explanations.
✅ Final Thoughts
Bayesian logic helps us:
- Think like detectives
- Update our beliefs with new facts
- Avoid jumping to conclusions
In this case:
- H1 (Karen did it): least supported
- H2 (someone else did): strongest support
- H3 (something in between): possible but less likely than H2
Unless much stronger proof appears, Bayesian thinking says: reasonable doubt remains.