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11 September, 16:57

You catch, tag, and release 50 fish back into a pond. Then, you catch 25 more fish, 5 of which are tagged. What is the best estimate of the number of fish in the pond?

A. 100 fish

B. 250 fish

C. 400 fish

D. 625 fish

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Answers (2)
  1. 11 September, 17:14
    0
    (A) 100 fish is the answer
  2. 11 September, 17:21
    0
    The answer is B. 250 fish. This is a statistics problem, where the sample set taken from the pond illustrates the occurrence % of tagged fish. In finding that 5/25 fish are tagged after depositing the 50 fish, there is a 20% occurrence rate of tagged fish. (5/25 = 0.2 or 20%). This means that the 50 fish initially deposited represents only 20% of the total fish (a proportion), so 50 tagged x 5 fish (1 tagged per five) equals 250 fish total.
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