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4 February, 23:15

Deer ticks can be carriers of either Lyme disease or human granulocytic ehrlichiosis (HGE). Based on a recent study, suppose that of all ticks in a certain location carry Lyme disease, carry HGE, and 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?

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  1. 5 February, 01:21
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    There is a 100% probability that the selected tick is also a carrier of Lyme disease.

    Step-by-step explanation:

    The problem states that:

    Of the ticks that carry at least one of these diseases in fact carry both of them.

    So, if a tick carries one of these diseases, there is a 100% probability that is carries another.

    What is the probability that the selected tick is also a carrier of Lyme disease?

    There is a 100% probability that the selected tick is also a carrier of Lyme disease.
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