Question

Assume that the chances of a patient having a heart ** is 40%. Assuming that a meditation and yoga course reduces the risk of heart ** by 30% and prescription of certain 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 **. 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.

Answer 1

Let E1, E2 , A be events defined as E1 = treatment of heart ** with Yoga and meditation

E2 = treatment of heart ** with certain drugs.

A = Person getting heart **.

P(E1) = 1/2, P(E2) = 1/2

P(A/E1) = 40% - (40 x 30/100)% = 40% - 12% = 28% = 28/100

P(A/E2) = 40% - (40 x 25/100)% = 40% - 10% = 30% = 30/100

By using Baye’* theorem, we have

The problem emphasises the importance of Yoga and meditation.

Treatment with Yoga and meditation is more beneficial for the heart patient.