The angular diameter of a human pupil (~5 mm) at a distance of ~2 m is about 0.2 degrees, taking the small angle approximation. So the area of the pupil is maybe 0.04 square degrees, or around one millionth of a full solid angle (~41,000 square degrees).
Assuming a spherical isotropically radiating human, the probability of hitting a pupil from any distance is thus pretty unlikely.