might they ... or not?

Can one use:
[color=red]1-Might they arrest me or not?
instead of:
[color=blue]Is it possible that they may arrest me or is that impossible?
(In this case the answer cannot be: “No, they might not.”)

Can one use:
[color=red]2-Must they go out or not?
instead of:
[color=blue]Do they have to go out or don’t they?
(In this case, the answer to "2’ cannot be “No, they mustn’t.” but will have to be “No, they don’t have to.”)

The ‘or not’ tag sounds odd to me — redundant at least, ambiguous at most (‘Must they go out or must they not go out’??)