Answer
(a) S = {gg, gm, gj, mg, mm, mj, jg, jm, jj}
(b) S ={gg,gm,gj,mg,mm,mj,jg,jm}
Work Step by Step
Let g denote a good board, m a board with minor defects, and j a board with major defects. Therefore,
(a) The sample space for the batch contains 90 boards that are not defective, 8 boards with minor defects, and 2 boards with major defects is denoted as S = {gg, gm, gj, mg, mm, mj, jg, jm, jj}.
(b) The sample space for the batch contains 90 boards that are not defective, 8 boards with minor defects, and 1 board with major defects is denoted as S ={gg,gm,gj,mg,mm,mj,jg,jm}.