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 had knee surgery?Question 4Select one:a.5/19b.21/40c.7/20d.19/40
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 had knee surgery?Question 4Select one:a.5/19b.21/40c.7/20d.19/40
Solution
The probability that a person selected at random had knee surgery can be calculated by dividing the number of people who had knee surgery by the total number of patients.
In this case, 95 people had knee surgery out of 200 total patients.
So, the probability is 95/200 = 0.475
Therefore, the closest answer is d. 19/40, which is equivalent to 0.475 when expressed as a decimal.
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