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5. A scientist wants to estimate the number of carps remaining in a lake after an...

5. A scientist wants to estimate the number of carps remaining in a lake after an ecological disaster. She catches 50 carps and tags them. Later on, she fishes again 50 carps and discovers that 10 of them are tagged.
(a) What is the probability of this event if the lake contains n carps?

(b) How can such data be used to estimate the number of carps remaining in the lake?

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