  We study hair mass distributions in noncommutative Einstein-Born-Infeld hairy
black holes with non-zero cosmological constants. We find that the larger
noncommutative parameter makes the hair easier to condense in the near horizon
area. We also show that Hod's lower bound can be evaded in the noncommutative
gravity. However, for large black holes with a non-negative cosmological
constant, Hod's lower hair mass bound almost holds in the sense that nearly
half of the hair lays above the photonsphere.
