Your ability to recall information is astounding. When you take 10 on any Intelligence-based skill check, add your tier to the result. As a free action, you can expend one use of mythic power to ask one question as if using divination. The base chance for a correct answer is 70% + your highest arcane caster level + your tier (maximum 100%). The answer doesn't come from a divine agent, but from your own native understanding; therefore, the answer is never cryptic. If you don't get a correct answer, it's like failing a Knowledge check, and you can't use this ability on this question again.
