Question

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.

Explanation:

Step1: Count total fish

Total fish = large + small = $10 + 5 = 15$

Step2: Count large red fish

Large red fish = $\frac{1}{2} \times 10 = 5$

Step3: Calculate probability

Probability = $\frac{\text{Large red fish}}{\text{Total fish}} = \frac{5}{15} = \frac{1}{3}$

Answer:

$\frac{1}{3}$