Probability based on bayes theorem

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A study was undertaken to evaluate the use of magnetic resonance imaging (MRI) in the diagnosis of lumbar disk herniation. One hundred patients with lumbar disk herniation confirmed by surgery were evaluated with MRI, as were 100 patients without herniation. The MRI results were positive in 80 of the patients with herniation and in 20 of the patients without herniation. MRI is used in a patient who has a 25% chance of having a herniated lumbar disk, according to the patient's history and physical examination. What are the chances of herniation if the MRI is positive?

a. 35%

b. 57%

c. 73%

d. 80%

e. 92%

Reference no: EM1318716

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