A story from real life:
I was at school and wondered if I should just go home or wait in two hours for the next lesson. I decided to flip a coin, heads were "stay at school". First I got heads but I tried once more just to confirm it. Heads again. I just continued to flip the coin for fun to see how many times I could hit heads. After ten times with heads in a row (!) I stopped. The coin now lies in a safe place in my room. And yes, I threw the coin high up in the air each time and it was spinning a lot, to get it as random as I could.
This happens one out of thousand times shall we believe statistic math.
I decided to stay at school and wait for the next lesson that day
Actually, if anything what you just did perfectly explains finite mathematics.
Finite math teaches us that if you flip a coin over and over again, no matter what happens the flip preceding your current flip, you always go into it 50/50.
Example, if you flip a head 10 times in a row, chances are, and statistically, you should flip a tails. Common sense also leads you to believe the same thing. Our brains tell us that "oh man, we just flipped a head (insert number here) times in a row, the next flip HAS to be a tail!....but no.
If you flip a head 10 times in a row, the next flip is finite and independent in its own regard, making the 11th flip a 50/50 chance of hitting a tail.
I know its kind of confusing and hard to think outside the box on this but its true!
Our brains try and trick us into thinking that after flipping a head 10 times, that we have a better chance of hitting a tail, but every single flip of a coin is 50/50, if of course we are flipping the coin the EXACT same way every time!