the.com/inmate

Someone held in a prison or institution, their freedom restricted by others' decisions.

means A person confined in a prison, hospital, or other institution — someone housed, not hosted.

from Built from the Latin 'in' (within) plus 'manere' (to stay or dwell) — the same root that gives English 'mansion' and 'remain.' So an inmate is, literally, 'one who stays within.' The word originally just meant a lodger or co-tenant sharing a house, with no criminal shadow at all; it drifted over centuries toward institutional confinement — prisons, asylums — as the 'house' it names stopped being chosen and started being assigned.

etymology
once meant any housemate, not a prisoner
legal term
excludes staff, only applies to the confined
global count
over 11 million held worldwide right now
economics
labor often pays cents per hour, legally
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