If you die to many times then you get a pity smash ball. Go on like 99 lives vs level 9 and let it kill you and count.
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They just naturally spawn in jungles. Unless you're in creative, where you can use an ocelot spawn egg to spawn one in.
Use a spawn egg in creative or look for a nether fotress where they spawn.
You can't, they are only spawned naturally. You can, however, use a spawn egg in creative mode to spawn them.
Yes, in the Nether Zombie Pigmen spawn on the netherrack but I don't think they spawn on Netherrack in the Overworld.
In creative mode you can spawn a zombie with the egg