Question

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.

Explanation:

Step1: Find number of large blue fish

Half of 6 large fish are blue, so \( \frac{6}{2}=3 \) large blue fish.

Step2: Find total number of fish

Total fish = large + small = \( 6 + 8 = 14 \).

Step3: Calculate probability

Probability = \( \frac{\text{large blue fish}}{\text{total fish}}=\frac{3}{14} \).

Answer:

\(\frac{3}{14}\)