One urn contains two black balls (labelledB₁ and B₂) and one white ball. A second urn contains one black ball and two white balls (labelled W₁ and W₂). Suppose the following experiment is performed. One of the two urns is chosen at random.
Next a ball is randomly chosen from the urn. Then a second ball is chosen at random from the same urn without replacing the first ball.
(A) Write the sample space showing all possible outcomes
(B) What is the probability that two black balls are chosen?
(C) What is the probability that two balls of opposite color are chosen?
