Op, In Noah's day, who was taken and who was left behind? It was the unsaved who were "taken", right?

Mathew 24:

36 “But of that day and hour no one knows, not even the angels of heaven, nor the Son, but the Father alone. 37 For [y]the coming of the Son of Man will be just like the days of Noah. 38 For as in those days before the flood they were eating and drinking, marrying and giving in marriage, until the day that Noah entered the ark, 39 and they did not [z]understand until the flood came and took them all away; so will the coming of the Son of Man be. 40 Then there will be two men in the field; one [aa]will be taken and one [ab]will be left. 41 Two women will be grinding at the [ac]mill; one [ad]will be taken and one [ae]will be left.


What about Lot and his family? They were lead out of Sodom in an Exodus before it was destroyed, but wasn't it the unsaved who were "taken"?