Some people have a knack for interesting math problems

I have read this and calculated it uptil $n=10$, but this is still so unintuitive for me.

Daniel Litt on Twitter asks:

Flip a fair coin 100 times-it gives a sequence of heads (H) and tails (T). For each HH in the sequence of flips, Alice gets a point; for each HT, Bob does, so e.g. for the sequence THHHT Alice gets 2 points and Bob gets 1 point. Who is most likely to win?

And the answer is:

The correct answer is “Bob.” Congrats to the 10% who got it right — those few brave dreamers.

But how? Why? This is so beyond my mathematical intuition