So I'm the idiot when the OP made a mistake?
50/50 chance to win any game = 50% or 1/2
1/2 to win each game -> 1/2 x 1/2 = 1/4 = 25%
Mathematically, our chance to win any two games in a row is 25%. There are other factors that can make that number go up or down, but most of those factors are subjective and not quantifiable.
So I'm the idiot when the OP made a mistake?
Can you stake your reputation to a few more things that you'll ultimately be wrong about?
I know that. But look at the title of the post.
There. That wasn't so hard. It took a while, but we finally agree.