The term 'chance it' basically means to risk it. It means to take a risk at whatever one is doing, just for the fun of it. It is another way of saying 'blind chance' in French.
They mean the same thing because fat chance is sarcastic. The "fat chance" is said, it really means little chance or "slim chance."
An outside chance
It means completely by chance.
little or no chance of success.
It means the same as "to have a chance."
They don't (quite) mean the same thing, the expression:'fat chance' means there is no chance,'slim chance' means that it will be difficult but there is just a chance.
question is,are you willing to give that chance?
by any chance
Assuming that you mean "bonne chance" it simply means "good luck" in French
Give peace a chance
"Bonne chance" means "Good luck".
If you mean the chance of succes, like fortune, it will be, ironically, 'chance'