A gumball dispenser has 24 gumballs, 12 white and 12 black, which are dispensed at random. If the first 3 gumballs dispensed are black, what is the probability that the next gumball dispensed will be black?
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A\frac{1}{2}
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B\frac{1}{3}
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C\frac{1}{4}
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D\frac{3}{7}
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E\frac{3}{8}
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正确答案: D