/sci/ - Science & Math

>>12196791
You're just looking at it in a way where part of the picture is hidden. Try drawing out that tree, at least mentally. Each path in the tree is equally likely to happen. But as you add more coin flips to it, most of them are going to end up with a roughly equal number of heads and tails.

The paths for "all heads" and "all tails" still exist, as do "all heads until a tails" and "all tails until a heads", but as the tree grows the probability of those paths goes to zero, while the balanced-ish outcomes become more common. There's only one way to get all heads, there's a lot of ways to get outcomes evenly split.