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3-Gnagey's Pharmaceuticals just developed a new swine flu cure. The only catch is the swine flu medicine must only be given to those with swine

3-Gnagey's Pharmaceuticals just developed a new swine flu cure. The only catch is the swine flu medicine must only be given to those with swine flu, if it is given to a healthy individual they will immediately contract a new hybrid SwineAvianEquine Superflu.

Fortunately, Gnagey's Pharmaceuticals also has a swine flu test that is 95% accurate (meaning 95% will test positive if they have the swine flu, and 95% will test negative if they do not have the swine flu).

It is estimated that the probability of anyone in Utah having swine flu is 0.003.

Given that someone tests positive for swine flu, what is the probability they will contract the new hybrid SwineAvianEquine Superflu when they use the new flu cure? (Round to two decimal places, e.g. 0.57)

(Careful: this is one is tricky)

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