What strings does this regex matches ? (a|b)*

[polaryeti]

regepxal is showing infinite matches and shows "baaaaaaa" as a match. Doesn't (a|b) means a or b?
* means match 0 or more times. So, it should be matching aa,aaa,bb,bbb, , etc?
I'm not getting how baaaa is a match. Can anyone clarify please?

 

[polaryeti]

SOLVED. The perfect way to think about this for me is this:

(X)*= X X X X X X

Here X=a or b
So,

a or b then a or b then a or b then....