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A clinician is screening patients at a nursing home for a certain mild disease, in order to find three patients with the disease to participate

A clinician is screening patients at a nursing home for a certain mild disease, in order to find three patients with the disease to participate in a study. Suppose 25% of the patients have the disease, and the clinician can screen two patients every hour. Assuming independence, what is the probability that the third patient with the disease is found in the fourth hour of testing?

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