I would just add that in playing around with random number generators over the years that I was always amused at just how often computers would give results that don't line up the way you would think, or even the way you would expect from real world objects. I guess what I'm trying to say is that if I flip a coin X number of times I would actually get something closer to 50/50 than if I ask a computer to do the same thing. I noticed this with dice rolls back in time with tabletop dice roll simulators. You could roll actual dice and it was one thing, ask a computer to do it and the results were usually worse most of the time. It's strange. It probably has to do with things not actually being random, programming, and so on, but that's way too long a topic that starts to throw a real twist into more straightforward observations on statistical probability.
It should not be so, obviously, but that does not mean it is not so.