Could you tell me if these sentences make sense ? They should be okay when rewriting the following:

At this school, students have to wear a tie whether they like it or not. ( Use given )
Students at this school ....of whether or not to wear a tie

My attempts:
Students at this school are not given the possibility of whether or not to wear a tie

Students at this school are not given a chance of whether or not to wear a tie

Are both options correct? Can prepositions Of follows chance?? Is there any other way to rephrase it ?
Thank you

Question

Could you tell me if these sentences make sense ? They should be okay when rewriting the following:

At this school, students have to wear a tie whether they like it or not.  ( Use given )
Students at this school ....of whether or not to wear a tie

My attempts: 
Students at this school are not given the possibility of whether or not to wear a tie

Students at this school  are not given a chance of whether or not to wear a tie

Are both options correct? Can prepositions Of follows chance??  Is there any other way to rephrase it ?
Thank you

Answer

'Possibility' and 'chance' are not correct here. You need 'choice' or 'option'.

... are not given the choice/option to wear a tie or not.
... are not given the choice/option of wearing a tie or not.

But stating both is unnecessary, and makes the sentence less clear.

It is simpler to say:

... are not given the choice/option to not wear a tie.
... are not given the choice/option of not wearing a tie.

Answer

Hi! 😊

Your first sentence is understandable, but it sounds a bit unnatural:

Students at this school are not given the possibility of whether or not to wear a tie.

Your second sentence is not correct because we don’t say “a chance of whether or not.”

It’s more natural to say:

Students at this school are not given a choice about wearing a tie.

Students at this school are not given a chance to choose whether or not to wear a tie.

After “given,” it usually sounds better to use “a chance to + verb” rather than “of whether or not.”