New answers tagged saving-throw
Yes, if you regain hp either by rolling a 20 on a death save or by any other method, you will gain consciousness immediately. If damage reduces you to 0 hit points and fails to kill you, you fall unconscious (see appendix A). This unconsciousness ends if you regain any hit points.
No. There's nothing in the rules that says that you can choose to fail a saving throw (some spells like Polymorph allow you to). This is confirmed by Jeremy Crawford. (Twitter) If you choose to allow people to fail saves, then the character would need to decide whether they are going to resist the effect before seeing the result of the effect.
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