Determining Population Size Answers

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?

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?

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?

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?