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

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

Answer

Answer:

$\frac{3}{14}$

Explanation:

Step1: Calculate number of blue large fish

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

Step2: Calculate total number of fish

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

Step3: Calculate probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{3}{14}$.