"Will I pass a random drug test if I take one cap per day?"
0.0001mg is equal to 100ng. I am not a doctor and I do not know how this translates into your body and then into the test. I would guess that such a small amount would not affect the test, but those tolerances look pretty tight and when you think about the conversion I think it may be risky to place your career on those numbers. You may want to contact a doctor that works with these specific kinds of tests to really know.