The probability that a vaccinated person(V) contracts a disease is (1/(20)). For a person vaccinated(V ′) , the probability of contracting a disease is (5/6). In a certain town 90%of thepopulation has been vaccinated against a disease. A person is selected at random from the town,find the probability that: (a) he has the disease, (b) he is vaccinated or he has the disease. sir Forkum Michael


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Question Number 63425 by Rio Michael last updated on 04/Jul/19

$T h e p r o b a b i l i t y t h a t a v a c c i n a t e d p e r s o n (V) c o n t r a c t s a d i s e a s e$ $i s \frac{1}{20} . F o r a p e r s o n v a c c i n a t e d (V^{'}), t h e p r o b a b i l i t y o f c o n t r a c t i n g$ $a d i s e a s e i s \frac{5}{6} . I n a c e r t a i n t o w n 90 % o f t h e p o p u l a t i o n h a s$ $b e e n v a c c i n a t e d a g a i n s t a d i s e a s e . A p e r s o n i s s e l e c t e d a t$ $r a n d o m f r o m t h e t o w n, f i n d t h e p r o b a b i l i t y t h a t :$ $(a) h e h a s t h e d i s e a s e,$ $(b) h e i s v a c c i n a t e d o r h e h a s t h e d i s e a s e .$ $s i r F o r k u m M i c h a e l$
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