It is OK in your second dialogue, but not in your first: 1. A: Do you know any first-aid ? I hurt my ankle.
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hsiaoyunhA: Do you know any first-aid tips? I hurt my ankle.No. Answer like that, and they'll look at you like you've got two heads!
B: Why not?
hsiaoyunhA: I won't go to your party.Fine. "Why?" is also possible, but less common.
B: Why not?