Which modal verb is used to express permission?

Which modal verb is used to express obligation?

Which modal verb is used to express prohibition?

Which modal verb is used to express necessity?

Which modal verb is used to express possibility?

Which modal verb is used to express advice?

Does the following sentence ask for Permission, Obligation or Prohibition: 'You may go to the park after finishing your homework.'?

Does the following sentence ask for Permission, Obligation or Prohibition: 'You must wear a seatbelt while driving a car.'?

Does the following sentence ask for Permission, Obligation or Prohibition: 'You are not allowed to use your phone during the exam.'?

Does the following sentence ask for Permission, Obligation or Prohibition: 'Can I borrow your pencil?'?

Does the following sentence ask for Permission, Obligation or Prohibition: 'You must not eat in the library.'?

Does the following sentence ask for Permission, Obligation or Prohibition: 'You have to clean your room before going out with friends.'?

Does the following sentence ask for Permission, Obligation or Prohibition: 'You are not allowed to enter the restricted area.'?

Does the following sentence ask for Permission, Obligation or Prohibition: 'Can I have a piece of cake?'?

Does the following sentence ask for Permission, Obligation or Prohibition: 'You must ask for permission before leaving the classroom.'?