Hola ,
Both give the same meaning
'maybe' is a conjunction word to combine sentences while "might" is a verb ,so they would be used in
different ways to form a sentence,but it would give the same meaning .
In your example:
Maybe she is wrong OR She might be wrong ?
Maybe I can do it OR I might do it
Notice that when using "mabye" you had to use another verb like

a lo mejor esta falsa.
tal vez yo lo haga.
SLP 2008 had a mistake there, because after tal vez and quizas you need to use subjuntivo.

"Maybe she is wrong"= Tal vez ella se equivoco?
"I might do it"?. = Yo podría hacerlo?

hola bueno yo soy de peru si gustas me puedes agregar a dakia_aisha@hotmail.com or viga182@hotmail.com