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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




Question Number 63425 by Rio Michael last updated on 04/Jul/19
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
$${The}\:{probability}\:{that}\:{a}\:{vaccinated}\:{person}\left({V}\right)\:{contracts}\:{a}\:{disease} \\ $$$${is}\:\frac{\mathrm{1}}{\mathrm{20}}.\:{For}\:{a}\:{person}\:{vaccinated}\left({V}\:'\right)\:,\:{the}\:{probability}\:{of}\:{contracting} \\ $$$${a}\:{disease}\:{is}\:\frac{\mathrm{5}}{\mathrm{6}}.\:{In}\:{a}\:{certain}\:{town}\:\mathrm{90\%}{of}\:{thepopulation}\:{has} \\ $$$${been}\:{vaccinated}\:{against}\:{a}\:{disease}.\:{A}\:{person}\:{is}\:{selected}\:{at} \\ $$$${random}\:{from}\:{the}\:{town},{find}\:{the}\:{probability}\:{that}: \\ $$$$\left({a}\right)\:{he}\:{has}\:{the}\:{disease}, \\ $$$$\left({b}\right)\:{he}\:{is}\:{vaccinated}\:{or}\:{he}\:{has}\:{the}\:{disease}. \\ $$$${sir}\:{Forkum}\:{Michael} \\ $$

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