A research project about pet behavior conducted a random survey of 400 people who own cats and asked questions about the eating and sleeping habits of their cats. In the responses, 48% of the cats liked to sleep inside the house, fish was the favorite dish of 25% percent of these cats, and 68% of the cats that preferred sleeping outside had another favorite dish. If a cat was chosen at random from the sample, what is the probability that the cat likes fish and likes to sleep inside?