92. 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 a heart attack by 35 percent, 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 ?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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92. 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 a heart attack by 35 percent, 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:92. 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 a heart attack by 35 percent, 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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