Question

A. There are 300 fish in a pond. 50 fish are tagged. If you catch one fish out of the pond, what is the probability that your fish is tagged? Write your answer in a fraction and a decimal. Explain and show your work.

B. Suppose you catch 100 fish out of this pond. How many of these fish would you expect to be tagged? Explain.

Answer 1

B. 50

Explanation:

Answer 2

The probability is 16.6%

And if you catch 100 fish, you should expect at least 17 of them are tagged.

Explanation:

Let A be the event of catching a tagged fish:

`P(A) = (50)/(300) = (1)/(6) = 0.166`

Now if you catch 100 fish, each one has the probability of 1/6 and each event is independent of the other.

`N = (1)/(6) * 100 = 16.6`