Its

DalaIs it correct to say "Does everyone have its own book."?

No.

This is correct.

Does everyone have his or her own book?

vsureshThis is correct.Does everyone have his or her own book?

Correct but, a bit wordy. It would be simpler as: Does everyone have their own book?

AnonymousIt would be simpler as: Does everyone have their own book?

I agree. But shouldn't it be books in agreement with their?

vsureshBut shouldn't it be books in agreement with their?

Actually no. In English there is no number agreement between a possessive and the noun it goes with. You can mix and match as you wish.

his book, their book, my book, our book
his books, their books, my books, our books

CJ

Thank you CJ.

I have a question.

When we say 'their book' we refer to one book which belong to more than one person.

But in the sentence here (OP), I think each is expected to have one. So, in that case is it OK we say 'their book'?

vsureshSo, in that case is it OK we to say 'their book'?

Yes. Think of it this way. English has a plural 'they' and a singular 'they'. The singular 'they' is used for cases where the gender (he, she) is unknown or general (both, either), as when used with indefinite pronouns like 'everybody' or 'anybody'

Thank you very much for your detailed explanation and examples.

Examples, which involve different cases, are very helpful.

Thank you once again,CJ.