The ones taken into the ark lived. The ones left out died.
Sodom and Gomorrah, the ones taken out of the city, (Lot and his daughters) lived. The ones left behind or that turned back (Lot's wife and everyone else) died.
Just saying.
Sorry you have it backwards. Taken (in these instances) is to remove from a particular place.
1. The ones in the ark were not taken there. They built it and then moved in.
2. Lot and his daughters were not taken out of the city. The left on their own. No one carried them away.
In both these cases the ones who lived were not taken but instead moved forward under their own power.
Noah listened to God, Lot listened to the angels.
Excellent insight! Everyone, please note this!