in an aquarium, there are 4 large fish and 16 small fish. half of the small fish are blue. one fish is…

in an aquarium, there are 4 large fish and 16 small fish. half of the small fish are blue. one fish is selected at random. find the probability that it is a small, blue fish. write your answer as a fraction in simplest form.

in an aquarium, there are 4 large fish and 16 small fish. half of the small fish are blue. one fish is selected at random. find the probability that it is a small, blue fish. write your answer as a fraction in simplest form.

Answer

Explanation:

Step1: Calculate number of small blue fish

Since half of 16 small fish are blue, $16\times\frac{1}{2}=8$.

Step2: Calculate total number of fish

There are 4 large and 16 small fish, so $4 + 16=20$.

Step3: Calculate probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$, so $\frac{8}{20}=\frac{2}{5}$.

Answer:

$\frac{2}{5}$