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

Answer:

B. 50

Step-by-step explanation:

Answer 2

Answer:

The probability is 16.6%

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

Step-by-step explanation:

Let A be the event of catching a tagged fish:

$P(A) = \frac{50}{300} = \frac{1}{6} = 0.166$

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

$N = \frac{1}{6} * 100 = 16.6$