>>506257You're confusing the distribution (the sum of heads and the sum of tails) with the outcome of a particular sequence (the exact order in which H and T appears).
Say for example, 4 coin flips, there are 16 possible sequences. Each sequence has a 1 in 16 chance of happening. HHHH is just as likely as HHHT, but if you looked at the distribution from all possible sequences, you'll have:
1 outcome of 4 H total,
4 outcomes of 3 H,
6 outcomes of 2 H,
4 outcomes of 1 H, and
1 outcome of 0 H
You can see that distributions don't care about the order of occurrence, they don't care which one came up first or last, they don't give a shit about that. Distributions *only* look at the total number of occurrences. So you can see with a distribution curve there are many more sequences with a mix of H and T which will gravitate toward a 50:50 ratio. However, every particular sequence (every particular order in which H and T is thrown) is still as likely as any other.
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