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You are also presented with a choice: you take a test and you die in X% because of the test itself (there are no non-invasive tests, even IV is potentially dangerous), or you may be diagnosed with cancer with Y% chance of right diagnosis and Z% of lethality. Math is getting much more complicated. Now consider that only 2.5% women will die from breast cancer, but 97.5% others will get X-ray exposure once a year (with 100% test coverage of course). X-rays are know to cause mutations and thus cancer. Add to this money spent on tests that can be used to find a cure (we don't have unlimited resources).