are both or both are

[E2e4]

Please someone let me know which word order is correct in the sentences below?

1. They are both OK.
2. They both are OK.

In addition

3. If both are OK, which one you prefer?
4. If both are OK which one do you prefer? (Does this mean "you might do not prefer any. Both are equal to you.)

Thanks

[Dozy]

#1 is the usual word order. #2 is not impossible.

#3 is wrong. #4 needs a comma after "OK". It is of course possible that the addressee might not have a preference, but the question does not mean that or encourage that answer.

"You might do not prefer any" is incorrect. The word "do" should be deleted.