Suppose you are a doctor seeing a patient with a breast tumor. Her mammogram comes back negative. Based on the numbers in Table 7, what is the chance that she has cancer?

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TABLE 7 Summary of Results for 10,000 Mammograms (when in fact 100 tumors are malignant and 9,900 are benign) Tumor is malignant Tumor is benign Total Positive 85 1,485 1,570 mammogram Negative true positives 15 false positives 8,415 8,430 mammogram false negatives true negatives Total 100 9,900 10,000