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Who is to say it wasn't rolled by the Fed reserve in San Fran. It could have been rolled in 1950. And there is absolutely no way to disprove this.
It is actually remarkably difficult to 100% prove or disprove many things in our world. For example, you can't prove to me that there
isn't a tea kettle orbiting the sun. Who is to say those wacky Brits didn't have a secret space program?
Really, for most things, you just need to show that they are extraordinarily likely or unlikely. Sometimes the standard is even lower. For example, in U.S. civil courts, you just need to show there is a 51% or better chance that something happened in order to get a judgment.
For the fun or it, I tapped a math resource to estimate the likelihood of the SF Fed creating such a roll in 1950.
From 1909 through 1949, the SF mint produce a bit over 2 billion cents. So we'll assume that in 1950, there was a pool of 2 billion cents out there. Certainly this number isn't entirely accurate since: (i) there were probably a fair number of
IHC's floating around in 1950; and (ii) coins are taken out of circulation over time. However, we need to start somewhere, so lets just use 2 billion.
Of this 2 billion, lets assume 1 million are VDB cents. Yes, I know, SF didn't make that many. The remainder are Philly cents that migrated. I'm thinking this is a generous number given coin really doesn't travel all that far from where it starts.
So, given these numbers, what is the probability that a 50 coin roll contains two VDB cents? About 1 in 334,464.
Wow, that's really not that bad is it? Well, this is where things start to get a bit trickier. See, there are 50 positions in that roll. That is, the coin could be first, twenty seventh, fiftieth, etc. Plus, there are two orientations for each coin - heads and tails.
What we are looking for here is a very specific roll. A roll that not only has two VDB cents, but a roll that has one of those cents on each ends, both oriented so that the tails are facing out.
The odds of that happening are actually a bit over 1 in
1.6 Billion!
But wait, he has over 150 of these rolls. He must have found a cache of rolls in a box, which means they were all spit out one after another. So what are the odds of this?
I can't really tell you all that well. My spreadsheet program can't handle the math. We're probably talking one in a googolplex, which is a 1 with 10100 zeros after it.
So just for fun, lets assume that some zealous coin collector managed to collect every single of 28,479,000 VDB cents minted, and then put them back into circulation. We now have 2 billion cents, of which 28,479,000 have a VDB on them.
What are the odds of finding one of these super special rolls? About one in four million.
Not too bad right? So then what are the odds of finding a cache of 150? Not really that much different. Still probably in the googolplex territory.
Keep in mind there are all estimates, but pretty sound ones.