in an aquarium, there are 6 large fish and 8 small fish. half of the small fish are red. one fish is…

in an aquarium, there are 6 large fish and 8 small fish. half of the small fish are red. one fish is selected at random. find the probability that it is a small, red fish. write your answer as a fraction in simplest form.

in an aquarium, there are 6 large fish and 8 small fish. half of the small fish are red. one fish is selected at random. find the probability that it is a small, red fish. write your answer as a fraction in simplest form.

Answer

Explanation:

Step1: Calculate number of small red fish

Half of 8 small fish are red, so $8\times\frac{1}{2}=4$ small red fish.

Step2: Calculate total number of fish

There are 6 large fish and 8 small fish, so total is $6 + 8=14$ fish.

Step3: Calculate probability

Probability = $\frac{\text{number of favorable outcomes}}{\text{total number of outcomes}}$, so $\frac{4}{14}=\frac{2}{7}$.

Answer:

$\frac{2}{7}$