A doctor has decided to prescribe two new drugs to 200 heart patients, as follows: 50 get drug A, 50 get drug B, and 100 get both. Drug A reduces the probability of heart attack by 35 per cent, drug B reduced the probability by 20 per cent, and the two drugs, when taken together, work independently. The 200 patients were chosen so that each has an 80 per cent chance of having a heart attack. If a randomly selected patient has a heart attack, what is the probability that the patient was given both drugs?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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A doctor has decided to prescribe two new drugs to 200 heart patients, as follows: 50 get drug A, 50 get
drug B, and 100 get both. Drug A reduces the probability of heart attack by 35 per cent, drug B reduced
the probability by 20 per cent, and the two drugs, when taken together, work independently.
The 200 patients were chosen so that each has an 80 per cent chance of having a heart attack. If a
randomly selected patient has a heart attack, what is the probability that the patient was given both
drugs?
Transcribed Image Text:A doctor has decided to prescribe two new drugs to 200 heart patients, as follows: 50 get drug A, 50 get drug B, and 100 get both. Drug A reduces the probability of heart attack by 35 per cent, drug B reduced the probability by 20 per cent, and the two drugs, when taken together, work independently. The 200 patients were chosen so that each has an 80 per cent chance of having a heart attack. If a randomly selected patient has a heart attack, what is the probability that the patient was given both drugs?
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