The sample space shows all possible sequences of child gender for a family with 3 children. The table is organized by the number of girls in the family. Complete parts (a) and (b) below. 0 Girls 1 Girl . 2 Girls 3 Girls BBB GBB BGG GGG BGB GBG BBG GGB . ... . a. How many outcomes are in the sample space? b. If we assume all outcomes in the sample space are equally likely, find the probabilities (i) through (iii) of having the following number of girls in a family of three children. i. all 3 girls (Type an integer or a simplified fraction.) ii. no girls (Type an integer or a simplified fraction.) iii. at most 1 girl (Type an integer or a simplified fraction.)