Q: Five identical bowls are labeled 1, 2, 3, 4, and 5. Bowl i contains i white balls and 5-i black balls, with i=1, 2,...,5. A bowl is randomly selected and two balls are randomly selected (without replacement) from the contents of the bowl.
a) What is the probability that both balls selected are white?
b) Given that both balls selected are white, what is the probability that bowl 3 was selected?
EDIT: I got it, sorry for posting this.