NBA Star Nick Young — Cops say Rape Accuser’s Story’s ‘Crazy’, ‘Unbelievable’

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NBA star Nick Young is being sued by a woman who claims he raped her, but law enforcement sources tell our sources … when she went to cops with the allegations, they dismissed them as bogus.

As we previously reported, the woman claims Nick — a member of the Philadelphia 76ers — slipped a date rape drug into her drink at a Hollywood bar in 2011, took her to his home and raped her vaginally and anally.

She”s filed a civil lawsuit, but now we”re learning shortly after the alleged incident, she went to LAPD cops who dismissed her claim because her story didn”t make sense.  What”s more … law enforcement says at the time she went to cops, she was already talking about a lawsuit, and that made them even more suspicious.

We”re told the woman subsequently made financial demands on Nick — to either pay up or face a lawsuit.