A sphere of unit radius is centered at the origin. The unit normal at a point $$(x, y, z)$$ on the surface of the sphere is the vector.

A screening test is carried out to detect a certain disease. It is found that $$12$$% of the positive reports and $$15$$% of the negative reports are incorrect. Assuming that the probability of a person getting positive reports is $$0.01,$$ the probability that a person tested gets an incorrect reports is