A biased coin is tossed. The probability of heads turning up is 0.51.
Suppose you keep tossing the coin multiple times and keep a track record of the number of heads/tails. The moment you get more heads than tails, you stop tossing the coin.
Mathematically, can we safely say that for all series of coin tosses, the ultimate result is that more heads have turned up and hence the probability of more heads turning up ultimately is tosses is 1?