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If I remember correctly, at a rally, Perot responded to a young black man's question. Perot said something to the effect of- My people and your people share the shame...-
The young black man quickly interjected saying "My People?"
And got really upset. Perot realized that he had flubbed and
tried to talk his way out of what he had just said.
The next day he withdrew his candidacy saying the Bush camp was trying to smear his daughter. I think he withdrew to avoid further scrutiny and questions about race relation.