The Collaborative International Dictionary
not give a hoot
Hoot \Hoot\, n.
A derisive cry or shout.
--Glanvill.The cry of an owl.
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A very funny event, person, or experience; as, watching Jack try to catch that greased pig was a hoot.
Hoot owl (Zo["o]l.), the barred owl ( Syrnium nebulosum). See Barred owl.
not give a hoot not care at all.
Usage examples of "not give a hoot".
Lazarus did not give a hoot either way but he knew better than to hurry McFee.
It may have been classified information but I did not give a hoot.