We calculate various Wilson loop averages in a pure SU (N)-gauge theor
y on a two-dimensional sphere, in the large N limit. The results can b
e expressed through the density of rows in the most probable Young tab
leau found in [1]. They are valid in both phases (small and large area
s of the sphere). All averages for self-intersecting loops can be repr
oduced from the average for a simple (non-self-intersecting) loop by m
eans of loop equations.