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.

Explanation

Let `A=`person has heart attack


`E_1 =`person is treated with meditation and yoga


`E_2 =`person is treated with drug


`P(A)=0.4`




From given data


`P(E_1)=P(E_2)=1/2`


`P(A//E_1)=0.4 times 0.7=0.28`


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