A patient get a test for a disease that indicates positive in 95% of cases when the patient has the disease and 10% when the patient isn′t sick. What is the probability he′s not sick, knowing that the test is positive?


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Question Number 123254 by Maclaurin Stickker last updated on 24/Nov/20

$A p a t i e n t g e t a t e s t f o r a d i s e a s e t h a t$ $i n d i c a t e s p o s i t i v e i n 95 % o f c a s e s w h e n$ $t h e p a t i e n t h a s t h e d i s e a s e a n d 10 %$ $w h e n t h e p a t i e n t {i s n}^{'} t s i c k . W h a t i s$ $t h e p r o b a b i l i t y {h e}^{'} s n o t s i c k, k n o w i n g$ $t h a t t h e t e s t i s p o s i t i v e ?$
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