in an aquarium, there are 10 large fish and 5 small fish. half of the large fish are red. one fish is…

in an aquarium, there are 10 large fish and 5 small fish. half of the large fish are red. one fish is selected at random. find the probability that it is a large, red fish. write your answer as a fraction in simplest form.

in an aquarium, there are 10 large fish and 5 small fish. half of the large fish are red. one fish is selected at random. find the probability that it is a large, red fish. write your answer as a fraction in simplest form.

Answer

Explanation:

Step1: Calculate total number of fish

$10 + 5=15$

Step2: Calculate number of large red - fish

Half of 10 large fish are red, so $10\times\frac{1}{2}=5$

Step3: Calculate probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$, so $\frac{5}{15}=\frac{1}{3}$

Answer:

$\frac{1}{3}$