"My pen doesn't work anymore... Don't you have a spare one for me? This cake is really delicious!
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KooyeenIdea! Maybe that only works with modals and with requests, not permissions? So couldn't you, wouldn't you, won't you, can't you... are used for politeness, but can
Mario, don't you have a corkscrew here in the kitchen, by any chance?On this one in particular, I would leave off the "by any chance". Other than that, given the situation you describe, the negative question sounds fine to me, provided you mean by it that you think there really is a corkscrew in the kitchen. (Maybe you've seen it there before, and Mario know