Rom
6 For when we were yet without strength, in due time Christ died for the ungodly.
7 For scarcely for a righteous man will one die: yet peradventure for a good man some would even dare to die.
8 But God commendeth his love toward us, in that, while we were yet sinners, Christ died for us.
9 Much more then, being now justified by his blood, we shall be saved from wrath through him.
10 For if, when we were enemies, we were reconciled to God by the death of his Son, much more, being reconciled, we shall be saved by his life.
11 And not only so, but we also joy in God through our Lord Jesus Christ, by whom we have now received the atonement.
Christ came to die for all. So while we were sinners He died for us.
But it was conditional upon belief in Him for the benefits to apply.
No scripture can be read in isolation.
And yes, tigers do have free will.
And because almost all creatures have free will, it creates infinite number of permutations of possible futures as all these free-will creatures interact with each others. That is just maths. This is one reason why it is impossible to tell the future.