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A pond contains 1000 fish, 100 of which have been tagged. You catch 10 fish. How many of the fish would you expect to be tagged?

Question

A pond contains 1000 fish, 100 of which have been tagged. You catch 10 fish. How many of the fish would you expect to be tagged?

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Solution

To solve this problem, you can use the concept of probability.

Step 1: Determine the proportion of tagged fish in the pond. There are 100 tagged fish out of 1000 total fish. So, the proportion of tagged fish is 100/1000 = 0.1 or 10%.

Step 2: Apply this proportion to the number of fish you catch. If you catch 10 fish, and 10% of all fish are tagged, you would expect to catch 10 * 0.1 = 1 tagged fish.

So, you would expect to catch 1 tagged fish out of the 10 fish you caught.

This problem has been solved

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