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Deer ticks can be carriers of either Lyme disease or human granulocytic ehrlichiosis (HGE). Based on...

Deer ticks can be carriers of either Lyme disease or human granulocytic ehrlichiosis (HGE). Based on a recent study, suppose that 14% of all ticks in a certain location carry Lyme disease, 8% carry HGE, and 8% of the ticks that carry at least one of these diseases in fact carry both of them. If a randomly selected tick is found to have carried HGE, what is the probability that the selected tick is also a carrier of Lyme disease? (Round your answer to four decimal places.)

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TOPIC:Set theory, events and probability.

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