[Grammar] neither of you has/have

[Oceanlike]

I came across this question when attempting some grammar exercises:

"You are both guilty as charged for neither of you has/have an identity card on you now," said the policeman.

I thought the answer is "have" due to "you" but the answer key shows "has" as the correct answer. Why is this so?

Thank you for teaching me :-D

 

[Matthew Wai]

If the following is correct, I would consider both 'has' and 'have' to be acceptable, but I am not a teacher.
'Neither of them has/have a car.'── quoted from http://www.oxfordlearnersdictionaries.com/definition/english/neither_1?q=neither

 

[MikeNewYork]

I would choose "has" here. The sense is that neither one nor the other has an identity card.