We have three different drugs T, F and H. Drugs T and F cure a V virus in 60% and 80% of cases, respectively, and drug H is entered by mistake in the prescription and if it is administered to patients with the V virus produces serious secondary effects in them without curing the virus. Assume that the effects of the 3 drugs are independent. The treatment consists: first, one of the drugs is randomly administered. After a defined time, if it is not cured, one of the remaining drugs is randomly administered; if it is not cured either, then the third of the drugs is administered. In addition, in the face of serious side effects caused by H, the treatment is interrupted, that is, no other prescription is administered. What is the probability that the patient will be cured of the V virus?
We have three different drugs T, F and H. Drugs T and F cure a V virus in 60% and 80% of cases, respectively, and drug H is entered by mistake in the prescription and if it is administered to patients with the V virus produces serious secondary effects in them without curing the virus. Assume that the effects of the 3 drugs are independent. The treatment consists: first, one of the drugs is randomly administered. After a defined time, if it is not cured, one of the remaining drugs is randomly administered; if it is not cured either, then the third of the drugs is administered. In addition, in the face of serious side effects caused by H, the treatment is interrupted, that is, no other prescription is administered. What is the probability that the patient will be cured of the V virus?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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![We have three different drugs T, F and H. Drugs T
and F cure a V virus in 60% and 80% of cases,
respectively, and drug H is entered by mistake in
the prescription and if it is administered to patients
with the V virus produces serious secondary
effects in them without curing the virus. Assume
that the effects of the 3 drugs are independent.
The treatment consists: first, one of the drugs is
randomly administered. After a defined time, if it is
not cured, one of the remaining drugs is randomly
administered; if it is not cured either, then the third
of the drugs is administered. In addition, in the
face of serious side effects caused by H, the
treatment is interrupted, that is, no other
prescription is administered. What is the
probability that the patient will be cured of the V
virus?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc19ad20b-12df-4c1a-a3e4-3bd5b251a181%2Fa7573f08-439c-44f5-86c9-8c354a9f3094%2Fyxp5plm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:We have three different drugs T, F and H. Drugs T
and F cure a V virus in 60% and 80% of cases,
respectively, and drug H is entered by mistake in
the prescription and if it is administered to patients
with the V virus produces serious secondary
effects in them without curing the virus. Assume
that the effects of the 3 drugs are independent.
The treatment consists: first, one of the drugs is
randomly administered. After a defined time, if it is
not cured, one of the remaining drugs is randomly
administered; if it is not cured either, then the third
of the drugs is administered. In addition, in the
face of serious side effects caused by H, the
treatment is interrupted, that is, no other
prescription is administered. What is the
probability that the patient will be cured of the V
virus?
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