Kevin's family has a history of diabetes. The probability that Kevin would inherit this disease is 0.75. Kevin decides to take a test to check if he has the disease. The accuracy of this test is 0.85. What is the probability that Kevin has diabetes and the test predicts this?.

Question

Mattie Moon

Mathematics

12 February, 01:43

Kevin's family has a history of diabetes. The probability that Kevin would inherit this disease is 0.75. Kevin decides to take a test to check if he has the disease. The accuracy of this test is 0.85. What is the probability that Kevin has diabetes and the test predicts this?.

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Brent Knight · Answer 1

To get the intersection of the both event you can simply multiply the both events because those two events are independent to each other so the formula would be (0.75) time (0.85) and the probability would be 0.6375. I hope you are satisfied with my answer and feel free to ask for more.