No One I Know Committed Voter Fraud

This is not a post about recounts and pursuit of truth. It is not a post about probability. It is a post about imagination.

I don't know 1 million people, much less 70+ million. I cannot even imagine what 1m people looks like. I've been to football games with 100,000 people. One million is like (checks notes) ten times that. 

I can imagine 1 million pieces of paper--dollar bills, pages in books, ballots, etc. 

I know some people who voted for Biden, some for Trump, and some of us (bless our hearts) who still believe in freedom who voted for Jorgensen. But remember, I don't know and cannot even imagine 1m people in any form much less 1m people who all wanted to vote for Biden (or Trump, but that isn't important right now). 

Okay, so I actually can imagine it, but it is a bit hard if I want to concretely think about 1m people showing up and filling out a ballot for Biden. It is much harder still to imagine them all showing up together at one time and doing so. 

But that is what the ballot counting looks like especially after the fact. Boom, X-thousand for Biden, Y-thousand for Trump, etc. 

I've seen enough TV to be able to imagine what a fraud looks like. I can imagine easily a vague picture of what a million or so ballot fraud looks like. Truck pulls up to the back of the warehouse, doors open and a sinister fella peeks out, coast is clear, truck gate is lifted revealing fat stacks of freshly-minted fraudulent ballots, dollies unload the loot...

Add to this that perhaps I have motivated reasoning--I would love (hypothetically) to discover that Biden "won" because of fraud. Combine that with my natural and defensible lack of imagination that millions of people see the world differently than I do and in a way that I think is very significant (it was, after all, the most important election of our lifetime). 

Do you see how it seems more likely, perhaps much more likely, that fraud is at play in the 2020 election? What is more likely, that something I can barely imagine happened or something that I can easily conceive of happened? I'm just asking questions here.

Unfortunately, "seems more likely" is equivalent to "is more likely" for many, many people. The Monte Hall problem contains an amazing paradox. The probability is dependent on the perspective of the chooser; however, the perspective that matters is not the chooser's imagined framing of the problem. It is the fact that from the perspective of the chooser and the new information he now has, the probability assignment has changed in a way for him that it has not changed for an uninformed observer--for the chooser it is 2/3 vs 1/3 (i.e., 67%/33%); for the uninformed observer it is still 50%/50%. 

Probability is in the eye of the beholder. But the beholder doesn't get to invent out of whole cloth the critical elements governing the probability (subjective though they may be).

I lied, this is a post about probability.