Deer ticks can be carriers of either Lyme disease orhuman

Chapter 2, Problem 55

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Deer ticks can be carriers of either Lyme disease orhuman granulocytic ehrlichiosis (HGE). Based on arecent study, suppose that 16% of all ticks in a certainlocation carry Lyme disease, 10% carry HGE, and 10%of the ticks that carry at least one of these diseases in factcarry both of them. If a randomly selected tick is foundto have carried HGE, what is the probability that theselected tick is also a carrier of Lyme disease?

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