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?

Question

Philoid · Accepted 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 .