A committee is composed of w women and m men. If 3 women and 2 men are added to the committee, and if one person is selected at random from the enlarged committee, then the probability that a woman is selected can be represented by
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A\frac{w}{m}
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B\frac{w}{w+m}
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C\frac{w+3}{m+2}
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D\frac{w+3}{w+m+3}
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E\frac{w+3}{w+m+5}