Two different litters of kittens have been born: one with 2 brown-haired and 1 gray-haired (litter 1), and the other with 3 brown-haired and 2 gray-haired (litter 2). We select a litter at random and then select a kitten at random from the selected litter. (Round all probabilities to four decimals)

a) What's the probability that the kitten chosen is brown-haired?

b) Given that a brown-haired kitten was selected, what is the probability that it was from litter 1?