which one is correct for the given language, $\{$ w in $\{$a$,$ b$\}*$ : w does not contain "bab" as a substring $\}?$

a$)($a$|$b$($aa$|$bb$|$ab$|$ba$|$a$|$b$)*)*$

b$)($a$|$b$)*$a$?($b$($a$|$b$)*$a$)?($a$|$b$)*$

c$)($a$|$ba$|$b$^2)*$