A pond contains 37 fish. Ten are caught, tagged, and released back into the pond
ID: 3058242 • Letter: A
Question
A pond contains 37 fish. Ten are caught, tagged, and released back into the pond. After the tagged fish have had a chance to mingle with the others, fifteen fish are caught and released, one at a time. Assume that every fish in the pond is equally likely to be caught each time, regardless of which fish have been caught (and released) previously (this is not a realistic assumption for real fish in a real pond). The chance that among the fish caught in the second stage (after the tagging), at least four and at most seven were previously tagged is (Q1) Problem 2 A box contains three tickets, labeled 3,4,5. The chance that the sample sum of the labels on the tickets in three independent random draws with replacement from this box equals 9 is (Q2)Explanation / Answer
A pond contains 37 fish. Ten are caught, tagged, and released back into the pond. After the tagged fish have had a chance to mingle with the others, fifteen fish are caught and released, one at a time. Assume that every fish in the pond is equally likely to be caught each time, regardless of which fish have been caught (and released) previously (this is not a realistic assumption for real fish in a real pond). The chance that among the fish caught in the second stage (after the tagging), at least four and at most seven were previously tagged is (Q1) Problem 2 A box contains three tickets, labeled 3,4,5. The chance that the sample sum of the labels on the tickets in three independent random draws with replacement from this box equals 9 is (Q2)
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