1. The chance that he will win the game is slim.

Question

2. The possibility that he will win the game is slim.

3. The fact that he died is unbelievable.

(thank you for your help. Isn't the that clause an appositive clause?)

Answer 1

Yes, the noun clauses (that...game, that...died) in those 3 sentences are all serving as appositives for the noun preceding each.