Probability using conditional probability.
Five identical bowls are labelled 1,2,3,4 and 5. Bowl i contains i white and 5 - i black balls with i = 1, 2, 3, 4, 5. A bowl is randomly selected and two balls are randomly selected (without replacement) from the contents of the SAME bowl.
a. What is the possibility that both balls selected are white?
b. Given that both balls selected are white what is the likelihood that bowl 3 was selected?