Casework and Law of Total Probability

In a certain state: $60$% of people like dogs (dog-lovers), $30$% like cats (cat-lovers), and $10$% do not like either (haters). When these people were asked if they liked rabbits, $40$% of dog-lovers said no, $65$% of cat-lovers said no, and $55$% of the haters said no. What is the probability that a random citizen in the state does not like rabbits?