A health instructor surveyed all her students, and tallied the results. The first survey question asked, "Do you adhere to a vegetarian diet or omnivorous diet?" The second question asked, "If you were to buy a pet today, which animal would it be?" A vegetarian diet An omnivorous diet
Dog 5 4
Cat 3 4

What is the probability that a randomly selected student would buy a cat and adheres to an omnivorous diet?
Simplify any fractions.