presence of mind vs possession

presence of mind and possession both are nouns.

Word	Noun	Adjective	Verb	Adverb
presence of mind	Yes	No	No	No
possession	Yes	No	No	No

As nouns, possession is a hypernym of presence of mind; that is, possession is a word with a broader meaning than presence of mind:

presence of mind: self-control in a crisis; ability to say or do the right thing in an emergency
possession: the trait of resolutely controlling your own behavior

Other hypernyms of presence of mind include self-command, self-control, self-possession, self-will, will power, willpower.

presence of mind (noun)	possession (noun)
self-control in a crisis; ability to say or do the right thing in an emergency	anything owned or possessed
	the act of having and controlling property
	(sport) the act of controlling the ball (or puck)
	the trait of resolutely controlling your own behavior
	a territory that is controlled by a ruling state
	a mania restricted to one thing or idea
	being controlled by passion or the supernatural