Religious faith is believing that what you wish and hope for will eventually come about, based on your trust in God to be true to his word and provide for you in this lifetime or the next. This is if an individual believes that God is, and subscribes to the belief that God answers prayers.
And without faith it is impossible to please God, because anyone who comes to him must believe that he exists and that he rewards those who earnestly seek him. Hebrews 11:6 (New International Version (Copyright 1984)
The Bible says:
Now faith is being sure of what we hope for and certain of what we do not see. Hebrews 11:1 (New International Version (Copyright 1984)
We exercise faith in our life everyday, often without realizing it. We have faith that the chair we are about sit on will not collapse. We have faith that unseen electricity will power our appliances and lights when we flip a switch or turn a nob. We have faith that our body will digest our food, although we cannot see or even totally understand the process whereby it does this. We have faith that yes, that airplane will rise into the sky, stay aloft, and land safely as we embark on a well-deserved vacation.
Faith is believing God will answer our prayers if we ask in line with his will. However, God doesn't say when; it may not be in this physical lifetime. He doesn't say how either. Faith is knowing He will according to his perfect plan.
This is very similar to post #2, but maybe a little different in an important way. Post #2 says faith is belief in something for which you have no proof. To put a little differently, maybe faith is a belief in something that you cannot prove. You might be able to offer up some reasons why you believe it, but others might not necessarily accept those reasons as proof.
I think that it is likely that you would have some sort in intuitive reason for your faith. It seems random to people who do not believe, but the holder of the faith, there is a reason, just not a "prove-able" one.
I would say that faith is belief in things for which you have no proof. You only have faith if you can have no proof at all of God's existence and God's care for you and yet you still believe.
Having said that, I have put myself in a little bit of a corner. What if someone feels that they have proof that God loves them and uses that as the basis of their faith? Hard to say.
But I will still go with my definition -- faith is a belief in things for which you have no proof.
Faith is a sure knowledge and a firm confidence.