This depends a lot on the kid. Some four year olds I’ve known would have no problem keeping their hands to themselves (likely with a few reminders) or behind their backs. Others would just happily kick or headbutt the jar if they got the chance and couldn’t use their hands. I try not to make too many assumption about maturity based on age. I, too, have met otherwise polite but not too bright adults that can’t resist touching stuff in museums.
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