Question

One urn contains two black balls (labelled B₁ 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. Write the sample space showing all possible outcomes

Answer 1

Given that one of the two urns is choosen

Then a ball is randomly choosen from the urn

Then a second ball is choosen at random from the same urn without replacing the first ball

Sample space S = {B₁B₂, B₁W, B₂B₁, B₂W, WB₁, WB₂, BW₁, BW₂, W₁B, W₁W₂, W₂B, W₂W₁}

Total number of Sample space, S = 12