Among 100,000 women with negative mammograms, 20 will be diagnosed with breast cancer in 2 years, whereas 1 woman in 10 with positive mammograms will be diagnosed with breast cancer in 2 years. Suppose that 10% of the general population of woman will have a positive mammogram. What is the probability that a woman who develops breast cancer over the next 2 years has a negative mammogram?
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