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Diagnostic tests A1 and A2 are used to detect the presence or absence of a disease. The results of A1 and A2 are a priori independent of the presence or absence of the disease. A1 and A2 have sensitivity Sen1 and Sen2, respectively. A new diagnostic test T is introduced. T is positive when A1 and A2 are both positive. Determine the sensitivity of T.

Initially, I thought I would use Bayes theorem, as it contains sensitivity and re-arranging the equation I would get the sensitvity of T: P(Test+│D)=P(D│Test+)*(P(test+│D)*P(D)+P(test+│notD)*P(notD))/P(D)

But since there are no numbers behind, I don´t know how to solve this problem..

any help is highly appreciated!

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