13. 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
patient can choose any one of the two options with equal probabilities. It is give
that after going through one of the two options the patient selected at rando
suffers a heart attack. Find the probability that the patient followed a course
meditation and yoga?
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12th
Maths
Probability
Conditional Probability
Assume that the chances of ...
MATHS
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?
November 22, 2019
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Narottam Mj
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ANSWER
Let A,E
1
, and E
2
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(E
1
)=P(E
2
)=
2
1
P(A∣E
1
)=0.40×0.70=0.28
P(A∣E
2
)=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(E
1
∣A).
P(E
1
∣A)=
P(E
1
)P(A∣E
1
)+P(E
2
)P(A∣E
2
)
P(E
1
)P(A∣E
1
)
=
2
1
×0.28+
2
1
×0.30
2
1
×0.28
=
29
14
=0.48
Step-by-step explanation: