You don't choose a target for A Premonition of Your Demise at the time its ability triggers. Rather, a second "reflexive" ability triggers when you reveal one or more nonland cards this way. You choose a target for that ability as it goes on the stack. Each player may respond to this triggered ability as normal.

If the mana cost of a card revealed this way includes {X}, X is 0 for the purpose of determining its mana value.