10 out of 1000 women at age forty who participate in routinescreening have breas

Question

10 out of 1000 women at age forty who participate in routinescreening have breast cancer. 800 out 1000 women with breast cancerwill get positive mammographies. 96 out of 1000 women withoutbreast cancer will also get positive mammographies. If 1000 womenin this age group undergo a routine screening, about what fractionof women with positive mammographies will actually have breastcancer? This question is very confusing for me, please help. 10 out of 1000 women at age forty who participate in routinescreening have breast cancer. 800 out 1000 women with breast cancerwill get positive mammographies. 96 out of 1000 women withoutbreast cancer will also get positive mammographies. If 1000 womenin this age group undergo a routine screening, about what fractionof women with positive mammographies will actually have breastcancer? This question is very confusing for me, please help.

Explanation / Answer

there are 1000 woman of the age 40 10 are screened with breast cancer of the 10 people, 8 will be have breast cancer, screenedby a mammographie.(80%) from the 1000-10=990 people without breastcancer, themamographie says: that a fraction of 0.096 of them alsohas breast cancer(while this isn't true) so 8+0.096*990=8+95.9=103.9(of the 1000 women) arescreened positive for breast cancer by the mammographie. 10 of them has really breast cancer so the answer is 10/103.9=0.09........... please rate me of you are content

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