Scientists must always keep track of the population of fish in order to monitor the impact on the fish life cycle from natural environmental changes. There is a type of fish called AA in a lake for research. The scientists set free a small group of labeled fish AA, whose total number equals to #(total_labeled), to the lake. After a period of time, they capture a number of fish AA randomly from the lake and use them as samples, whose total number equals to #(total_captured). Among these sample fish AA, they sort out the labeled fish AA, whose total number equals to #(labeled_among_captured).
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