I use the words this way:
Smoking is banned in restaurants.
Smoking is prohibited.
Alcohol is prohibited in this area.
Smoking is not allowed.
Can I smoke here? No It �s prohibited.
Are you allowed to smoke outside?
Smoking is allowed outside. Smoking is permitted in the smoking area.
May I have permission to leave the room?
I have my parents � permission to go to the school camp.
The ban on smoking is good for non-smokers.
You �re not allowed to speak during the exam.
That young man has been banned from the hotel because of his bad behaviour.
I never say �It �s not allowed to smoke. � �It �s prohibited to smoke �
If speaking about a pet I could say �It �s not allowed on my bed � or It �s not allowed to get on my bed �