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A new diagnostic test is used to screen 100000 patients for bowel cancer.  The test was 'positive' in 900 patients. Of those, 600 were subsequently found to have bowel cancer, the other 300 after extensive investigation were pronounced disease free. There were additional 100 cases of bowel cancer not picked up by the study.  What is the tests approximate sensitivity? (You'll need either a pen and paper or a calculator or a keen brain):

a. 0.6
b. 0.66
c. 0.7
d. 0.75
e. 0.85
in Family Medicine/Stats by

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e. 0.85
kindly explain how you got 0.85 and why not 0.7.