in an aquarium, there are 7 large fish and 6 small fish. half of the small fish are red. one fish is…

in an aquarium, there are 7 large fish and 6 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 7 large fish and 6 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

Answer:

$\frac{3}{13}$

Explanation:

Step1: Calculate number of small red fish

Since half of 6 small - fish are red, $6\times\frac{1}{2}=3$.

Step2: Calculate total number of fish

There are 7 large fish and 6 small fish, so $7 + 6=13$.

Step3: Calculate probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{3}{13}$.