{T}: Target player exiles a card from their graveyard.
{1}, Exile Relic of Progenitus: Exile all graveyards. Draw a card.
If you activate Relic of Progenitus's first ability, the targeted player chooses which card to exile. The choice is made as the ability resolves.
You can activate Relic of Progenitus's second ability even if no players have any cards in their graveyards. You'll still draw a card.