Determining Population Size Answers

A pond contains 500 fish, 100 of which have been tagged. You catch 50 fish. How many of them would you expect to be tagged?

You catch, tag, and release 100 fish back into a pond. According to the data below, what is the best estimate of the number of fish in the pond?

You catch, tag, and release 35 fish back into a pond. Then, you catch 70 more fish, 12 of which have tags on them. What is the best estimate of the number of fish in the pond?

Imagine that a lake contains two kinds of fish: trout and bass. 60% of the fish in the lake are bass and 40% are trout. If you caught 5 fish at random from this pond, which of the following would you expect to catch?