need handwritten solution asap

Suppose 40% of all households own a cat, 10% own a cat and a dog, and 2% own cat and a reptile. Assume you choose a household uniformly at random. (a) What is the probability that the household owns a dog, given that it owns a cat? Explain your answer. (b) Suppose the events that the household owns a cat and that he household owns a reptile are independent. What percentage of households own a reptile