Q. 285.0( 2 Votes )

Assume that the chances of a patient having a heart attack is 40%. It is also assumed that meditation and yoga course reduces the risk of heart attack by 30% and prescription of certain drug reduces its chances 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 and patient selected at random suffers a heart attack. Find the probability that the patient followed a course of meditation and yoga?

Answer :

Let us assume U1, U2 and A be the events as follows:


U1 = Selecting meditation or yoga


U2 = selecting Drugs


A = Getting heart attack


From the problem,




P(A) = 0.4


P(A|U1) = P(getting heart attack even after practicing yoga or meditation)




P(A|U2) = P(getting heart attack even after using drugs)




Now we find


P(U1|A) = P(The patient got heart attack even after practicing yoga or meditation)


Using Baye’s theorem:







The required probability is .


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