Two hundred patients who had either hip surgery or knee surgery were asked whether they were satisfied or dissatisfied regarding the result of their surgery. Out of the 95 that had knee surgery, 70 were satisfied. Out of the 105 that had hip surgery, 15 were dissatisfied. If one person from the 200 patients is selected at random, what is the probability that the person was dissatisfied given that the person had knee surgery?Question 12Select one:a.1/19b.5/19c.7/20d.14/19
Question
Two hundred patients who had either hip surgery or knee surgery were asked whether they were satisfied or dissatisfied regarding the result of their surgery. Out of the 95 that had knee surgery, 70 were satisfied. Out of the 105 that had hip surgery, 15 were dissatisfied. If one person from the 200 patients is selected at random, what is the probability that the person was dissatisfied given that the person had knee surgery?Question 12Select one:a.1/19b.5/19c.7/20d.14/19
Solution
To solve this problem, we first need to find out how many knee surgery patients were dissatisfied. We know that out of the 95 patients who had knee surgery, 70 were satisfied. Therefore, the number of dissatisfied knee surgery patients is 95 - 70 = 25.
The probability of a person being dissatisfied given that they had knee surgery is the number of dissatisfied knee surgery patients divided by the total number of knee surgery patients.
So, the probability = 25/95 = 5/19.
Therefore, the correct answer is b. 5/19.
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