What is common sense is that despite the previous nine flips being heads, the 10th flip still has a 50/50 chance of being heads/tails.
We should all play the mafia game of how it's played by everybody, none of this odds crap. You run a chance of falsely accuse and lynch someone because the odds of him being mafia are (insert percentage and odds), and they could show town.
No I understand it but you're all completely missing the point. If you reset the odds after every flip then it's 50/50 but if I say before a coin is flipped that you need 10 heads in a row then the odds will be a lot higher. Kapeesh?