we only get to pick one...

ARROGANT. Making claims or pretensions to superior importance or rights; overbearingly assuming; insolently proud / characterized by or proceeding from arrogance, or a sense of superiority, self-importance, or entitlement.

IGNORANT. Lacking in knowledge or training; unlearned / lacking knowledge or information as to a particular subject or fact / uninformed; unaware / due to or showing lack of knowledge or training.

We only get to pick one.

We can be as ignorant as we want but then we can’t be arrogant.
We can be as arrogant as we want but then we can’t be ignorant.

The two of them together are fire, poison, nuclear waste, pollution, wicked, evil, terrible, destructive, etc…