In its monthly report, the local animal shelter states that it currently has 28 dogs and 24 cats available for adoption. Seven of the dogs and 6 of the cats are male. Find each of the following conditional probabilities if an animal is selected at random.

a) The probability a randomly selected pet is male, given that it is a cat is __

b) The probability a randomly selected pet is a cat, given that it is female is __

c) P(Female|Dog) is __

d) P(Dog|Female) is __