wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

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 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?

Open in App
Solution

Let A,E1, and E2 respectively denote the events that a person has a heart attack, the selected person followed the course of yoga and meditation, and the person adopted the drug prescription.
P(A)=0.40
P(E1)=P(E2)=12
P(A|E1)=0.40×0.70=0.28
P(A|E2)=0.40×0.75=0.30
Probability that the patient suffering a heart attack followed a course of meditation and yoga is given by P(E1|A).
P(E1|A)=P(E1)P(A|E1)P(E1)P(A|E1)+P(E2)P(A|E2)
=12×0.2812×0.28+12×0.30
=1429=0.48

flag
Suggest Corrections
thumbs-up
0
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Bayes Theorem
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon