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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