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Assume that the chances of a patient having a heart attack is 40%. It is also assumed that a meditation and yoga course reduce the risk of heart attack by 30% and prescription of certain drug reduces its chances by 25%. At a time a patient can ch

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Let `E_(1)` is the event patient followed a meditation and yoga and `E_(2)` is the event that patient followed prescription of certain drugs.
Therefore `E_(1)` and `E_(2)` are mutually exclusive and exhaustive events and
`P(E_(1))=1/2=P(E_(2))`
Let the event `E` represents that the selected patient suffers a heart attack.
`:.P(E/(E_(1)))=40/100(1-30/100)=28/100`
`P(E/(E_(2)))=40/100(1-25/100)=30/100`
`P` (patient suffers a heart attack, followed a course of meditation and yoga)
`P((E_(1))/E)=(P(E/(E_(1)))P(E_(1)))/(P(E/(E_(2)))P(E_(2)))`
`=(28/100xx1/2)/(28/100xx1/2+30/100xx1/2)=28/(28+30)`
`=28/58=14/29`
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Assume that the chances of a patient having a heart attack is 40%. Assuming that a meditation and yoga course reduces the risk of heart attack by 30% and prescription of certain drug reduces its chance by 25%. At a time a patient can choose any one of the two options with equal probabilities. It is given that after going through one of the two options, the patient selected at random suffers a heart attack. Find the probability that the patient followed a course of meditation and yoga. Interpret the result and state which of the above stated methods is more beneficial for the patient.

Assume that the chances of a patient having a heart attack is 40%. Assuming that a meditation and yoga course reduces the risk of heart attack by 30% and prescription of certain drug reduces its chance by 25%. At a time a patient can choose any one of the two options with equal probabilities. It is given that after going through one of the two options, the patient selected at random suffers a heart attack. Find the probability that the patient followed a course of meditation and yoga. Interpret the result and state which of the above stated methods is more beneficial for the patient.

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