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.
Answer
\(\boxed{\frac{3}{14}}\) is the probability of selecting a large, blue fish from the aquarium.
Step 1 ：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.
Step 2 ：First, calculate the number of large, blue fish. Since half of the large fish are blue, and there are 6 large fish, the number of large, blue fish is \( \frac{6}{2} = 3 \).
Step 3 ：Next, calculate the total number of fish in the aquarium. This is the sum of the large fish and the small fish, which is \( 6 + 8 = 14 \).
Step 4 ：Finally, calculate the probability of selecting a large, blue fish. This is the number of large, blue fish divided by the total number of fish, which is \( \frac{3}{14} \).
Step 5 ：\(\boxed{\frac{3}{14}}\) is the probability of selecting a large, blue fish from the aquarium.
