Yes, but "in limit" does not mean "will happen". E.g. it might be that there will never be "I" piece at all, even for infinite random sequence. Yes, probabilit

Yes, but "in limit" does not mean "will happen". E.g. it might be that there will never be "I" piece at all, even for infinite random sequence. Yes, probability of that happening is exactly zero, but that might happen. For example, if we select at random any number between 0.0 and 1.0 -- probability of selecting it is exactly zero. But we still selected it.