Pond 1 contains 100 fish, 50 of which are tagged. Pond 2 contains 1000 fish, 500 of which are tagged. You catch 10 fish from each pond. Which statement is true?There should be more tagged fish in the catch from Pond 1.There should be more tagged fish in the catch from Pond 2.The catches from both ponds should have about the same number of tagged fish.The most likely result is that there will be no tagged fish in either catch.
Question
Pond 1 contains 100 fish, 50 of which are tagged. Pond 2 contains 1000 fish, 500 of which are tagged. You catch 10 fish from each pond. Which statement is true?There should be more tagged fish in the catch from Pond 1.There should be more tagged fish in the catch from Pond 2.The catches from both ponds should have about the same number of tagged fish.The most likely result is that there will be no tagged fish in either catch.
Solution
The catches from both ponds should have about the same number of tagged fish.
Here's why:
In Pond 1, 50 out of 100 fish are tagged. That's 50%. In Pond 2, 500 out of 1000 fish are tagged. That's also 50%.
So, if you catch 10 fish from each pond, you're likely to catch about the same proportion of tagged fish from each pond, because the proportion of tagged fish in each pond is the same.
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