When Tyrant of Discord enters, target opponent chooses a permanent they control at random and sacrifices it. If a nonland permanent is sacrificed this way, repeat this process.
If any abilities trigger while Tyrant of Discord's "enters" ability is resolving, those abilities will wait until the "enters" ability finishes resolving before going on the stack. Starting with the active player, each player puts their abilities on the stack in any order.
01-05-2012
wotc
Repeating the process includes the instruction to repeat the process. That is, the opponent will keep sacrificing permanents until they sacrifice a land.
01-05-2012
wotc
Repeating the process does not include targeting an opponent. Only one opponent will have to sacrifice permanents.
01-05-2012
wotc
If the target opponent can't sacrifice permanents (perhaps because of Sigarda, Host of Herons), the opponent will choose a permanent at random but not sacrifice it. The ability will then finish resolving.
Random a card of Magic: The Gathering (MTG), but you can also roll the D20 dice, random a Planeswalker, have fun with the random rules and more.