Problem 2.4. In the study [74], 268 women with breast cancer were fol- lowed up

Question

Problem 2.4. In the study [74], 268 women with breast cancer were fol- lowed up for at least two years after the initial diagnosis. In this study, 87 women suffered from inoperable locoregional recurrent disease, 140 from distant metastases and 41 from both. (a) What is the probability that a randomly chosen woman in this study suffered from inoperable locoregional recurrent disease, but did not have distant metastases? (b) What is the probability that a randomly chosen woman in this study suffered from distant metastases, but did not have inoperable locoregional recurrent disease?

Explanation / Answer

a) P(Locoregional disease but not distant metatases)

= P(Locoregional disease) - P(Locoregional disease and distant metatases)

= 87/268 - 41/268

= 23/134

b) P(Distant metatases but not Locoregional disease )

= P(Distant metatases) - P(Locoregional disease and distant metatases)

= 140/268 - 41/268

= 99/268

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