This question has no answer, in Hinduism or any other religion. you could say I am perfectly free whether or not to touch my nose with my forefinger right now. but then you might have been pre-destined to make this experiment exactly at this point in time.
The aim of Advaita and core Buddhism is to reach a state in which this question becomes moot.
The Advaitic-Buddhist philosopher J Krishnamurti describes the state of ending of narrative time - the ground of causality:
http://legacy.jkrishnamurti.org/krishnamurti-teachings/view-text.php?s=books&tid=31&chid=56826
K: Now how am I to have that insight? That is the next question. Isn't it? What am I to do, or not to do, to have this instant insight, which is not of time, which is not of memory, which has no cause, which is not based on reward or punishment? It is free of all that. Now how does the mind have this insight? When I say, I have the insight, that is wrong. Obviously. So how is it possible for a mind which has been irrational, and has become somewhat rational, to have that insight? It is possible to have that insight if your mind is free from time.
DB: Right. Let's go slowly because you see, if we go back to the scientific, even common sense point of view, implicitly time is taken as the ground of everything in scientific work. In fact even in ancient Greek mythology Chronos, the god of time, produces his children and swallows them. That is exactly what we said about the ground; everything comes from the ground and dies to the ground. So, in a way, mankind long ago began to take time already as the ground.
K: Yes. And then someone comes along and says time is not the ground.
DB: That's right. So until now even scientists have been looking for the ground in time - and everybody else too!
K: That is the whole point.