Probably, yes. But it's not a guarantee until you include infinity. And that's the important distinction here. Without any such guarantee of the larger result,

Probably, yes. But it's not a guarantee until you include infinity. And that's the important distinction here. Without any such guarantee of the larger result, all you have is a 50/50 chance for the next flip. With infinity, you can pick out a portion of the sequence with an unusual number of Tails and expect there to be an offsetting number of Heads elsewhere in the full (infinite) sequence.