Question: For the following question either leave your answer as a fraction or give it to 3 decimal places. Type 2 diabetes affects about 9

$For the following question either leave your answer as a fraction or$

For the following question either leave your answer as a fraction or give it to 3 decimal places. Type 2 diabetes affects about 9 in every 100 people. A test to detect this disease has a false positive rate of 2% which is to say that out of every 100 healthy people, two will test positive. Assume that the test diagnoses correctly every person who has type 2 diabetes. What is the chance that a randomly selected person found to have a positive results actually has type 2 diabetes?

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