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Yes, the things that appear when collecting are random, and if you are very unlucky this can happen.

This will be changed in the future, after defeating the enemies in these locations, you will be able to see all the resources the location has and pick only the things you think are most important. Also, after a location is fully looted, the location will not magically respawn resources the next day, which will make it more fun and less repetitive.

There is a hospital south of the shelter that has a lot of plastic, but you won't have time to walk back. Even if you suffer a morale penalty for not making it back before the safe time, it is worth it.

You could invest this plastic from the hospital in a bicycle, and with it travel the map faster.