The probability of H in 100 coin flips follows a binomial distribution.
If you are interested in the split:
Notice that 45:55, 46:54, 47:53, 48:52, 49:51 splits are all more probable than 50:50 split.
Collectively, the probability of 45:55 to 49:51 split is 65% probable versus 8% probable for 50:50 split.
If you are interested in the split:
Notice that 45:55, 46:54, 47:53, 48:52, 49:51 splits are all more probable than 50:50 split.
Collectively, the probability of 45:55 to 49:51 split is 65% probable versus 8% probable for 50:50 split.