Drag the tiles to the correct boxes to complete the pairs. kevin has diabetes -

1) The probability that Kevin has diabetes and the test predicts opposite to be true = Probability Kevin has diabetes x Probability that test predicts opposite to be true.

Probability that Kevin has diabetes = 0.75
Probability that test predicts opposite to be true (i.e test predicts he doesn't have diabetes) = 0.15

So,
The probability that Kevin has diabetes and the test predicts opposite to be true =  0.75 x 0.15 = 0.1125

2) The probability that Kevin does not have diabetes and the test predicts this correctly = Probability Kevin does not diabetes x Probability that test predicts this correctly.

Probability that Kevin does not have diabetes = 0.25
Probability that test predicts this correctly (i.e. test predicts he does not have diabetes) = 0.85

So,
The probability that Kevin does not have diabetes and the test predicts this correctly = 0.25 x 0.85 = 0.2125

3) The probability that Kevin does not have diabetes and the test predicts the has diabetes = Probability Kevin does not diabetes x Probability that test predicts he has diabetes.

Probability that Kevin does not have diabetes = 0.25
Probability that test predicts has has diabetes = 0.15

So,
The probability that Kevin does not have diabetes and the test predicts the has diabetes = 0.25 x 0.15 = 0.0375

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